MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C6E197.435D0A00" このドキュメントは単一ファイル Web ページ (Web アーカイブ ファイル) です。お使いのブラウザ、またはエディタは Web アーカイブ ファイルをサポートしていません。Microsoft Internet Explorer など、Web アーカイブをサポートするブラウザをダウンロードしてください。 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用

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マスタ = 2479;イトルの書式設定
マスタ = 2469;ブタイトルの書式ෑ= 3;定
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<= /div>
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<ヘッダー>
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<= /div>
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<日付/時&#= 21051;>
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<フッター>
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<#>
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意思決定科学
主観確率，期待効= 9992;理論
情報学部 経営情報学科=
 堀田敬= 介
2006.9.29,Fri.
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file:///C:/72785C12/06dmt_2.files/slide0027.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
Contents
n&#= 20027;観確率
n期待値と主観= 906;率
n
n期待効用理論
nセントペテルス = 502;ルグの逆説
n期待効用仮説
n効用関数
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主観確率

personal probability,
subjective probability
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0002.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
主観確率
<= span class=3DBB style=3D'position:absolute;left:-3.89%;top:.3em'>n&#= 36062;金額に対する満足ò= 30;が比例するならば，= &#= 36890;常の期待値&#= 12398;考えで参加費を算Ñ= 86;可能．
例= 1
　= サイコロを1回振り，6の目が࠲= 6;たら6千円もらえる賭けが&#= 12354;る．
　い{= 67;らなら参加する?
〔xi ：賞金額，pi ： xi の生起確率〕
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主観確率
n　 宝くじはA= 292;1枚300円<= span style=3D'position:absolute;top:51.5%;left:9.92%;width:41.94%;height:6.25%'= >&#= 20986;すだけの価値が&#= 12354;るの?
演習
期待値の計算〔&#= 23453;くじの期待値〕
= H17年オータムӟ= 2;ャンボ宝くじ
　　　　ӌ= 8;　　〔1,000万枚あたり〕
1等 1億<= /span>5000万円 ×2本&= #13;
前後賞       2500万円 ×4本&= #13;
組違賞         = ;  10万円 ×198本
2等       1000万円 ×2本&= #13;
3等         100万円 ×20本&= #13;
4等         = ;    5万円 ×3000本
5等         = ;    1万円 ×20,000= 本
6等         = ;  3000円 = ×100,000本
7等         = ;    300円 = ×1,000,000本
平成１７年の「オ= ータムジャンボ宝く= 2376;」（新市町村振興౑= 2;495回全国自治宝くじ= ） 概要

名称&= nbsp;：{= 00;オータムジャンボ宝= くじ」（新市町村振= 3288;第495回全国自治宝くじ= ）
発売期間 ：平成１７年９月= ２６日（月）～平成= 5297;７年１０月１１日ᦀ= 8;火）（最終日を前に&= #22770;り切れとなる場合 = 418;ございますのでご了= ;承下さい）
発売額 ：360億円
発売元 ：Ð= 40;国都道府県
発売地域 ：全国
価格&= nbsp;：1枚300円
抽せん日 ：平成１７年１０= 月１４日（金）
会場&= nbsp;：Ê= 34;集院文化会館（鹿児= 島）〔アトラクショ= 2531;付き〕
当せん金の明細<= font face=3D"Times New Roman" size=3D3> ：下表のとおり<= br>

等級　当せん金　= 本数【1億2000万ĉ= 22;限定】
1等z= 88;150,000,000円　2= 4本
1等{= 98;前後賞　25,000,000円　4= 8本
1等{= 98;組違い賞100,000円2,376本
2等10,000,000円24= 本
3等1,000,000円240本
4等50,000円36,000本
5等10,000円240,000本
6等3,000円1,200,000= 本
7等300円12,000,00= 0本
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主観確率
<= span style=3D'font-size:86%'>n(普通は) Lot1 を&= #36984;ぶ. =
n良くても悪Ӕ= 7;てもくじ Lot1 の方が Lot2 より良い結ੜ= 4;が得られる!
<= span style=3D'font-size:83%'>n当然，期待ࠃ= 6;を計算しても Lot1の方が良い!
例= 2
Lot 1
0.3 : \10,0= 00
0.7 : \2,00= 0
Lot 2
0.3 : \8,00= 0
0.7 : \1,00= 0
2つのくじをどち&#= 12425;か1回引ける．どっ&#= 12385;がいい？
＞
＞
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主観確率
<= span style=3D'font-size:86%'>n(普通は) Lot3 を&= #36984;ぶ. =
<= span style=3D'font-size:83%'>n良い時と悪ӓ= 6;時に得られる結果は&= #21516;じであるが,　Lot3 の方が良い結果が得= 2425;れる確率が高い! =
<= span style=3D'font-size:83%;layout-flow:horizontal'>n当然，期待値を計算して= 2418; Lot3の方が良い!
例= 3
2つのくじをどち&#= 12425;か1回引ける．どっ&#= 12385;がいい？
Lot 1
0.3 : \10,0= 00
0.7 : \2,00= 0
Lot 3
0.5 : \10,0= 00
0.5 : \2,00= 0
＜
＜
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主観確率
例= 4
2つのくじをどち&#= 12425;か1回引ける．どっ&#= 12385;がいい？
Lot 4
0.4 : \10,0= 00
0.6 : \2,00= 0
Lot 5
0.1 : \6,00= 0
0.9 : \5,00= 0
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主観確率
<= span style=3D'font-family:"Times New Roman"'>nLot5 &#= 12434;選ぶかな…
nLot4 &#= 12399;悪い結果が出る確ħ= 75;が高く，その時得ら= れる&#= 36062;金額がかなり低い!
nLot5 はいずれの結果 = 391;も5,000円は保証 = 373;れている!
<= span class=3DB1B style=3D'position:absolute;left:-3.97%;top:.49em'>n&#= 12385;ょっと待って！　ţ= 04;もが Lot5 を選ぶ= ;の?
<= span class=3DB2B style=3D'position:absolute;left:-3.25%;top:.49em'>n&#= 26399;待値を計算すると Lot4 の方が= ;良いのだ!
<= span class=3DB2B style=3D'position:absolute;left:-2.83%;top:.49em'>n&#= 22833;敗した時に得られ|= 27;賞金額は少ないが<= span lang=3DEN-US style=3D'mso-fareast-language:JA'>,成功報= ;酬&#= 12364;魅力だ!　賭け= ;にリスクはつきもの&#= 12384;!　だか= ;ら Lot4 &#= 12398;方が魅力的なのだ!
例= 4
考察
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主観確率
<= span style=3D'font-family:"Times New Roman"'>nLot4 を選ぶ人
<= span style=3D'font-family:"Times New Roman"'>nLot5 を選ぶ人
例= 4
考察
3D"ホ&=
｢リスク嗜好｣型人= 間
3D"ホ&=
｢リスク回避｣型人= 間
n 期待値の法則に&#= 22522;づかない,意思決定者= が主観的に持っ&#= 12390;いる確からしさ= が,意思ĕ= 70;<= span style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PGothic"; font-size:117%'>定の重要な要素&#= 12395;なっている!
主ළ= 1;確率
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期待= ;効用理論
<= span style=3D'mso-special-format:bullet;color:#FF822D;mso-color-index:5;positio= n: absolute;left:-2.12%;top:.39em;font-family:Wingdings;font-size:70%'>n ӟ= 5;ントペテルスブルグ&= #12398;逆説　St. Petersburg paradox
<= span style=3D'mso-special-format:bullet;color:#FF822D;mso-color-index:5;positio= n: absolute;left:-2.55%;top:.39em;font-family:Wingdings;font-size:70%'>n 期待効用仮説　= ;expected utility hypothesis
<= span style=3D'mso-special-format:bullet;color:#FF822D;mso-color-index:5;positio= n: absolute;left:-2.55%;top:.39em;font-family:Wingdings;font-size:70%'>n 効用関数　utility function
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0009.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
セントペ = 486;ルスブルグの逆説=
例= 5
サイ|= 67;ロの出た目による賭= けがある．
賭け{= 98;参加料は1,000= 円である．
2,000= 円貰える
0円貰える
この賭けの期待値は?
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R0lGODlhIgAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAd AAkAgAAAAP+ZAAIbhI+Zoe0e2Jswooiz3tzwD2oUJY5TZo5WSjoFADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0010.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
セントペ = 486;ルスブルグの逆説=
nサイコロを奇数= 2398;目が出るまで振りᦁ= 2;その回数がNの時，　 円貰える．
<= span style=3D'font-family:Tahoma;font-size:117%'>nこの賭けでô= 71;られる賞金の期待値= は?
nこの賭けのÖ= 42;加料はいくらなら妥= 当か?
nN=3D1:奇数 ⇒　2円貰える
nN=3D2:偶数，奇数 ⇒　4円貰える
nN=3D3:= 偶数，偶数ᦁ= 2;奇数 ⇒　8円貰える
nN=3D4:= 偶数，偶数ᦁ= 2;偶数，奇数　⇒　16円貰える
nN=3Di:= 偶数，…，偶数(i-1回)，奇数 ⇒ 　円貰える
例= 6
サイコロの出た&#= 30446;による賭けがあるʌ= 94;
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Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
セントペ = 486;ルスブルグの逆説=
n&#= 12371;の賭け，いくらだ{= 87;たら参加するだろう= か?
例= 6
考察
n&#= 36077;けの主催者が払え|= 27;最高額が250円！(大金) つまり= ;，N≧50回の利得はいつ = 391;も250円とするA= 294;
もっと現&#= 23455;的な設定にしてみ|= 24;う!
演習
= Ans. 1,125,899,906,842,620
ところ&= #12391;，= 250 =3D ?<= /div>
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0012_image065.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLQAfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAp AB0AgQAAAP9mAP//AAECAwJbjI+pu+AfhJy02mvDcxH7n20cSH6a2JVqdW7purYQTAvyWKs38Obg 3vNhgMLSLVgMoZK/JdNDfF6iUpazanVhs7Mt5eidgMOScdh8vqa7ZLTXjYXHUYy6vSEqAAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0012_image066.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLgEaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAr ARgAgQAAAACAgP///wECAwKbjI+py+0Po5y02ouz3lz4D4biSJbmiabqyrbuC8fyHBv0jef6zvf+ j7IBh8Si8YgsCpPMpvMJBS6j1Kr1Wp1it9yud6b9isdkcbiMTquT57X7Dae14/S6fTS/6/fuPP8P 6OUXSFgINWiYqEiEuOj4iNMIOUnJIlmJmSlyqdmJyekZ+ggqWmpIapr6h6raascBGys7S1tre4s7 UQAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0012_image067.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSAAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA8 ABgAgQAAAP8AAP+ZzAECAwJrhH+hy+0Po0NmiYuz3rx7sVDVR5bmFYhVcLYumqrsS5uxXOfeLc76 j+H1gESQKlEEChG+ZG3JdOqgSOnzOLLSqFmtiwtoek9g8ZhUPrfAYTUZ23aX2Gb5ply3B+n6jwJu 0cfxByhheIgYUgAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0012_image068.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAa ACIAgQAAAAAAADPMzAECAwJmhB+pu+cfhJxUhodBrPxmt3GU9xmhaJUIOqomO5HlicofLdoZ3rka nHLxKjrMsCUECooQJRPk9B1j0mgS+FxhjYxpjPFTskjecVOMPKOfZepMnA3D4i+zr967a9N6/LJv FAQIQVcAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0013.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
セントペ = 486;ルスブルグの逆説=
<= span style=3D'font-family:"Times New Roman";font-size:83%'>nN=3D1 P(N=3D1)=3D1/2 2  円
<= span style=3D'font-family:"Times New Roman";font-size:83%'>nN=3D2 P(N=3D2)=3D1/4 22 円
n　　… = 288;……… …
<= span style=3D'font-family:"Times New Roman";font-size:83%'>nN=3D49 P(N=3D49)=3D(1/2)4= 9 249円
<= span style=3D'font-family:"Times New Roman";font-size:83%'>nN50 P(N≧50)=3D(1/2)49 (ノーӠ= 8;参照) 250円=
例= 6
考察
n 期待値は，
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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n&#= 36077;けの主催者が 250&#= 20870; を持っていても<= span style=3D'position:absolute;top:48.5%;left:14.23%;width:65.54%;height:6.5%'= >&#= 12503;レイヤーの期待利ô= 71;が 51円！=
セントペ = 486;ルスブルグの逆説=
例= 6
考察
不確実性のある= 4847;思決定問題における意思= 770;定主体の評価基= 310;は，期待値{= 99;適当ではない
意思決定主体のÈ= 27;観にもとづく効用関= 数を使おう
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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n期待効用ߤ= 6;説
n　意思決ऩ= 0;主体は複数のくじ
n
n　の選択ӗ= 5;おいて，期待効用
n
n　を最大ӗ= 5;するくじを選択する&= #65294;
期待= ;効用仮説
Lot 1
0.3 : \10,0= 00
0.7 : \2,00= 0
 ex)
貨幣額 xi に対する効用= &#= 13;
(1) 意ö= 05;決定主体のくじに対= する選好順序がどの= 2424;うな性質を満たせ= ば，期&#= 24453;効用仮説が成立す|= 27;か？ (= 2) 期待効&#= 29992;仮説が成立すると{= 65;，意思決定主体の効= 用関数 u(<= i>x)= は= どのよ&#= 12358;な性質をもつか？
期待値
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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file:///C:/72785C12/06dmt_2.files/slide0033.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
期待= ;効用仮説
n選好順序 preference order
n2項関係　ӌ= 8;を集合 X 上の選= ;好順序&= #12392;いう
n例）　　　　 = 288;： P は Q よりも&= #22909;まれる
n
n弱順序 = weak order
n集合 X 上の2&= #38917;関係　　が弱順序&= #12391;あるとは，以下が= 104;立すること
n　　　　　　<= /i>&= #12395;対し，　　　　な = 425;ば，　　　　　では= ;ない.
n　　　　　　 = 288;　に対して，　　　= ;　でなく，かつ　　&#= 12288;　　でなければ，z= 88;　　　でない.
n
n集合 X 上の弱順ॴ= 7;　　に対して，X 上の2&= #38917;関係～，　を以下 = 395;定める.
n　　　　　　 = 395;対し，P～Q は，　&= #12288;　　 でなく，かつ = 288;　　　でないこと= .
n　　　　　　 = 395;対し，　　　　は，= ;　　　　 または = P～Q のこと<= /span>.
<= ![endif]> =
例え = 400;「くじ」の集合&#= 13;
Lot P
Lot Q
Lot R
X
～
～
負ÿ= 12;移性
negatively
 transitive
反ë= 50;称性
antisymmetric
弱選好 weak preference
無差別 indifference
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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ADgAgQAAAAAAAL+/vwECAwLgjI+py40AowwC1Gsz3rrz3wXSKIKmh56gOEJUCqvxzJKzjN9ZHb35 r1vZgMRgaFJMGiu10vKpZPmg1J+0irUCpsruzZANq0RcsZm5PavRW68b1lybeeW3l5e2z1t1eQ7v 4kcF6KJ319LjoLjICIb4CBkpOUlZaXk52ai5+QDpZAhFWChIJPpJqmMKesiHWgTYtxoE6xpKIutG V/uKtPsUhxsmFZwbSJxFdpx7qvwb6zvGDP3VNq2VZ5062gwEnH1Cx72kK46D91xuQZsOzscOhyj9 rvrtYVq/IbrFyc8YWQAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0036.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
期待= ;効用仮説
n集合 X 上の選&= #22909;順序　　に関する3つの公理
n公理1〔合理性〕　&= #12288;　は X 上の弱順序で = 354;る
n公理2〔独立性〕　&= #12288;　　　　ならば
n
n公理3〔連続性〕　&= #12288;　　　　　　　　 = 288;ならば，
=
意思決&#= 23450;主体の選好= 順序が&#= 19978;記3つ{= 98;公理= を満た&#= 12379;ば，期待効用<= span style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PGothic"; font-size:83%;mso-fareast-hint:yes;color:black'>仮説が&#= 25104;立する．
X
P
R
=
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=
ࡧ= 2;理的な意思決定主体&= #12364;= ә= 8;つ選好関係は少なく&= #12392;も= ঄= 9;順序
X
P
R
=
Q
=
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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file:///C:/72785C12/06dmt_2.files/slide0036_image147.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDgAkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgAJ ACEAgAAAAJaWlgInhBGnuBbfXlISnjqR1K6zDFKNF43MmC2piJrr5cbtXNKqXOe3zeoFADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0034.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
期待= ;効用仮説
nフォン・ӡ= 4;イマン=3Dモルゲンӟ= 1;ュテルン効用関数
n以下の2&= #12388;を満たす実数値関= 968; u を，選好順序 = 288;　に関するフォン・ӡ= 4;イマン＝モルӞ= 6;ンシュテルン効用関&= #25968;&= #12392;いう．
n&= #12288;(1)
n&= #12288;(2)
X
P
Q
=
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表現ê= 50;理：
　公理1~3がû= 04;り立つため= の必要&#= 21313;分条件は，以下<= span style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PGothic"; font-size:83%;mso-fareast-hint:yes;color:black'>の(= 1),(2)が成り&#= 31435;つこと．
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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期待= ;効用仮説
nvN-M効用関数ӗ= 8;一= ;意性
n以下の2&= #12388;を満たす実数値関= 968; u は，正一次変換を除{= 56;て一意．
n&= #12288;(1)
n&= #12288;(2)
u(P0)=3D0 &#= 12434;満たす P0 <= /span>と，u(P1)=3D1 &#= 12434;満たす P1 を定= ;めれば，= 一意に決定す = 427;．
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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期待= ;効用仮説
<= span style=3D'font-size:75%;mso-fareast-hint:yes'>n&= #12522;スク回避度
nR 上の関&= #25968; u(x) が，
n凸
n凹
naffine
<= span style=3D'font-family:"Times New Roman";font-size:86%;mso-fareast-hint:yes'= >n&= #21177;用関数 u(x) が，
<= span style=3D'font-family:"Times New Roman";font-size:83%;mso-fareast-hint:yes'= >n&= #12522;スク愛好的（risk-loving&= #65289;　 ⇔　u(x) &= #12364;凸
<= span style=3D'font-family:"Times New Roman";font-size:83%;mso-fareast-hint:yes'= >n&= #12522;スク回避的（risk-averse&= #65289;　 ⇔　u(x) &= #12364;凹
<= span style=3D'font-family:"Times New Roman";font-size:83%;mso-fareast-hint:yes'= >n&= #12522;スク中立的（risk-neutral&= #65289;　⇔　u(x) がaffine
u(x)
0
x
u(x)
0
x
u(x)
0
x
P(N>=3D50) =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
         =3D (1/2= )^49 × ( ½ + ¼ + 1/8 + …)=
         =3D (1/2= )^49 × 1
         =3D (1/2= )^49
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効用関数
n効用໶= 6;数 u(x) の求ә= 7;方の一例
n〔step0〕 最低の満足度を 0，最高の満ห= 5;度を 1 とする
nu(x0)：=3D0，　x0 = 391;最低の満足度(効用) 0 が得られる =
nu(x1)&= #65306;=3D1，　x1 = 391;最高の満足度(効用) 1 が得られる
u(x)
x
0
1
x0
x1
= =
=
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効用関数
n〔step1〕 以下のくӕ= 6;&= #65292;&= #12434;考える．どちӚ= 5;でも満足度が同じにӗ= 4;る xn を決める
nくじ = 906;率 1/2 = 391; x0，確஍= 5; 1/2 = 391; x1 が得られる <= /span>
nくじ = 906;率 1 = 391; xn が得られる （x0 < xn < x1 ）
n = ⇒　= u(xn)&= #65306;=3D0.5　= とすӚ= 7;
u(x)
x
0
1
x0
x1
= =
=
=
0.5
=
xn
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効用関数
n〔step2〕 以下のくӕ= 6;Ⅲ，Ⅳを考える．どちӚ= 5;でも満足度が同じにӗ= 4;る xp を決める
nくじⅢ： 確率 1/2 = 391; x0，確஍= 5; 1/2 = 391; xn が得られる <= /span>
nくじⅣ： 確率 1 = 391; xp が得られる （x0 < xp < xn ）
n = ⇒　= u(xp)&= #65306;=3D0.25　= とすӚ= 7;
u(x)
x
0
1
x0
x1
= =
=
0.5
=
xn
=
0.25
xp
=
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image186.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhgwG2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALCEAAQBa AagAgQAAAAAAAJaWlgECAwL/hB2ny+0Po5y02ouz3rz7zwUJSJbmiabqyraI6MbyTNf2jYkwzvf+ DwwudDuh8YhMpgQsYlEJjUqnNRiRis1qf0zVLvHcisfk7AhwPpfX7Paki1Kr3fS6XTa/6/dZeJMP GChYkTdoeFjjt1KI2Oi4xvgoOcmh6EWJmSnFxAnQ+ekZCjoqWkp6apqKuqrayvrqGgs7K1tLe2ub i3srQBuiCRwcFClcnGmZQmy8zAyi3AwtiBwXXW298Xyt3TZ9kr0NHv0dTo7VbTJerq6Zvu5udF7S /k5/OF+PbxNPcp/vb9fvn0AV+5wNPIgoIMKFHgp+UMgwIhSIEitScOiBosWN/z40cvyoAGMHjyBL xiBpcqPIXylbKkHpMuJKbDFrCoFp8+BMDThz+rTQ82e+nRmCCj3qwChSd0RzLH26CGrOpheUSj1q 9eo2qkC1es34tSVXQmHLOjULciyFrGhTsm1rTO2Et3A/0q0LTK6Eu3gr8u1LSW+Ev4AXEi7sSDCE w4gFMm5sSPGDx5DxUa4MSHJSzG0vc9ajuYHnz+VGk6YTmoHp09tWs16Teshrr65nj4mtoLbtZrp3 9znpG2rv4FNwHxhOHBjy5EqMI2COFTo452ik/1xuXQh17Nkbce/uYzv4mt/H4xBvvmX59ImAsze5 /r0M9PLt1i9G/77F+PpX5P/vHxF/AKLw34AICWhgCQUm6BiDkyzoYD4IRtgBhBTSM+GFGlio4ToZ dngBhyCS8+GIF7lnIoYpBiLiiteU6OIDLcYoDo2goWhjODDmGBKOPGqz44+huBCkkD4aeduRSPK2 JGxKNmlMkTzOCCUmUuZIZZWTXGljllo+wiWNXn7pHZlajGmmIWHGiGaagqzpYptuAgLninLOuUed Kd6J5x16mshnn3X8OWKggrpBKIiGHspGoh0uymgZjmoIaaRjTHphpZZugSmFmm5qBqjaPSnqpXOV CsRYOgyGKh1XbNZqD3I5IZoTtt6Ka6667sprr77+Cmywwg5LbLHGHotssskQxprnq8z6ueqzzUrL ByMFAAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image187.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAsAhAAAAHrYeoDZgIfah6fip63kraLhotvy28frx8rsysTqxN3z3djx2P9jsfr9+u/57/D58O34 7QECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwUyICCOQEOOTaqSamum B0K4jfPEhODa+BC0PETBYADeEopkqmRbMJ4Mk6gBiVgjUlSLFAIAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image188.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAwAhAAAAHXXdX/Zf3bXdpzfnJrfmp7gnqfip8jryMLqwsvty8LpwsDpwN/0397z3v9jseD04Pv9 +/H68eX25e757u347fn9+QECAwECAwECAwECAwECAwECAwECAwECAwECAwU2ICCOwEOST5qials+ EGK0aSTFRkDbuDC0vMSBUADeFAsGY/WwTRqOqEn0kFAq2OkoZVmdqN8QADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image189.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNQECAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAz AQEAgAAAAJaWlgIXDIynyesNn4x02oqvznz7Dn5iSI5mUAAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image190.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgBOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAB AEsAgAAAAJaWlgIKDIynyesNn4z0FAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image191.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAM AAsAgwAAAGzVbJLckpjemJHckbfnt77pvrfmt8/uz9Pv0/9jsfT79OX15fz+/Or36uT15AQwEMip qprU2qw1UAuDFEKnNOEoBB0qFgPRpsZxbGeYIHxFLY6H8HHBgBbIIuazwUQAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image192.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBd AAEAgAAAAJaWlgIMDIynyesNn4x0WlQAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image193.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAoAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB ACUAgAAAAJaWlgIHDIynyesdCgA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0039_image194.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAsAhAAAAHXXdX7ZfnLWcpvfm57gnrzovKbiprvnu9fw18Hpwdzy3NXv1f9jsfj8+Oz37O/47+v3 6/f89wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwU0ICCKTVmOgKk2aZMY a+k8bxGscy0Mam4cBEKPpkAYT43ZgsFksFIOSGQaeZIaEskJdeUCQgA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数
n〔step3〕 以下のくӕ= 6;Ⅴ，Ⅵを考える．どちӚ= 5;でも満足度が同じにӗ= 4;る xq を決める
nくじⅤ： 確率 1/2 = 391; xn，確஍= 5; 1/2 = 391; x1 が得られる <= /span>
nくじⅥ： 確率 1 = 391; xq が得られる （xn < xq < x1 ）
n = ⇒　= u(xq)&= #65306;=3D0.75　= とすӚ= 7;
u(x)
x
0
1
x0
x1
= =
=
0.5
=
xn
0.25
xp
=
0.75
=
xq
=
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image195.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhgwG2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALCEAAQBa AagAgQAAAAAAAJaWlgECAwL/hB2ny+0Po5y02ouz3rz7zwUJSJbmiabqyraI6MbyTNf2jYkwzvf+ DwwudDuh8YhMpgQsYlEJjUqnNRiRis1qf0zVLvHcisfk7AhwPpfX7Paki1Kr3fS6XTa/6/dZeJMP GChYkTdoeFjjt1KI2Oi4xvgoOcmh6EWJmSnFxAnQ+ekZCjoqWkp6apqKuqrayvrqGgs7K1tLe2ub i3srQBuiCRwcFClcnGmZQmy8zAyi3AwtiBwXXW298Xyt3TZ9kr0NHv0dTo7VbTJerq6Zvu5udF7S /k5/OF+PbxNPcp/vb9fvn0AV+5wNPIgoIMKFHgp+UMgwIhSIEitScOiBosWN/z40cvyoAGMHjyBL xiBpcqPIXylbKkHpMuJKbDFrCoFp8+BMDThz+rTQ82e+nRmCCj3qwChSd0RzLH26CGrOpheUSj1q 9eo2qkC1es34tSVXQmHLOjULciyFrGhTsm1rTO2Et3A/0q0LTK6Eu3gr8u1LSW+Ev4AXEi7sSDCE w4gFMm5sSPGDx5DxUa4MSHJSzG0vc9ajuYHnz+VGk6YTmoHp09tWs16Teshrr65nj4mtoLbtZrp3 9znpG2rv4FNwHxhOHBjy5EqMI2COFTo452ik/1xuXQh17Nkbce/uYzv4mt/H4xBvvmX59ImAsze5 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Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAwAhAAAAHXXdX/Zf3bXdpzfnJrfmp7gnqfip8jryMLqwsvty8LpwsDpwN/0397z3v9jseD04Pv9 +/H68eX25e757u347fn9+QECAwECAwECAwECAwECAwECAwECAwECAwECAwU2ICCOwEOST5qials+ EGK0aSTFRkDbuDC0vMSBUADeFAsGY/WwTRqOqEn0kFAq2OkoZVmdqN8QADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image198.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNQECAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAz AQEAgAAAAJaWlgIXDIynyesNn4x02oqvznz7Dn5iSI5mUAAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image199.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgBOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAB AEsAgAAAAJaWlgIKDIynyesNn4z0FAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image200.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAM AAsAgwAAAGzVbJLckpjemJHckbfnt77pvrfmt8/uz9Pv0/9jsfT79OX15fz+/Or36uT15AQwEMip qprU2qw1UAuDFEKnNOEoBB0qFgPRpsZxbGeYIHxFLY6H8HHBgBbIIuazwUQAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image201.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBd AAEAgAAAAJaWlgIMDIynyesNn4x0WlQAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image202.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAoAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB ACUAgAAAAJaWlgIHDIynyesdCgA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image203.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAsAhAAAAHXXdX7ZfnLWcpvfm57gnrzovKbiprvnu9fw18Hpwdzy3NXv1f9jsfj8+Oz37O/47+v3 6/f89wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwU0ICCKTVmOgKk2aZMY a+k8bxGscy0Mam4cBEKPpkAYT43ZgsFksFIOSGQaeZIaEskJdeUCQgA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image204.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNQECAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAz AQEAgAAAAJaWlgIXDIynyesNn4x02oqvznz7Dn5iSI5mUAAAOw== ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image205.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgBvAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAB AG0AgAAAAJaWlgIMDIynyesNn4x02koLADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0040_image206.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAL AAsAhAAAAH7YforbioHZgabiprDlsKniqdry2sbrxsvty8frx9/039zy3P9jse757vr9+vH68e/5 7wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwUxICCOTTmSZYqmLNA4 B0Kw5QPLAW3HhDCwO0TBYADCEoqkqWFbMJ6MBgkSqUakJ9opBAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0041.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数
n〔step4：検証&= #12309; 以下のくӕ= 6;Ⅶ，Ⅷを考える．どちӚ= 5;でも満足度が同ӕ= 6;になる&= #12371;とを確認する．
nくじⅦ： 確率 1/2 = 391; xp，確஍= 5; 1/2 = 391; xq が得られる <= /span>
nくじⅧ： 確率 1 = 391; xn が得られる
u(x)
x
0
1
x0
x1
= =
=
0.5
=
xn
0.25
xp
=
0.75
xp
=
同じならӎ= 8;step5<= span lang=3DEN-US style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS= PGothic"; font-size:83%;mso-fareast-hint:yes;mso-fareast-language:JA'>〕Ә= 8;
違うならӎ= 8;step1<= span lang=3DEN-US style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS= PGothic"; font-size:83%;mso-fareast-hint:yes;mso-fareast-language:JA'>〕Ә= 8;
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0041_image207.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhgwG2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALCEAAQBa AagAgQAAAAAAAJaWlgECAwL/hB2ny+0Po5y02ouz3rz7zwUJSJbmiabqyraI6MbyTNf2jYkwzvf+ DwwudDuh8YhMpgQsYlEJjUqnNRiRis1qf0zVLvHcisfk7AhwPpfX7Paki1Kr3fS6XTa/6/dZeJMP GChYkTdoeFjjt1KI2Oi4xvgoOcmh6EWJmSnFxAnQ+ekZCjoqWkp6apqKuqrayvrqGgs7K1tLe2ub i3srQBuiCRwcFClcnGmZQmy8zAyi3AwtiBwXXW298Xyt3TZ9kr0NHv0dTo7VbTJerq6Zvu5udF7S /k5/OF+PbxNPcp/vb9fvn0AV+5wNPIgoIMKFHgp+UMgwIhSIEitScOiBosWN/z40cvyoAGMHjyBL xiBpcqPIXylbKkHpMuJKbDFrCoFp8+BMDThz+rTQ82e+nRmCCj3qwChSd0RzLH26CGrOpheUSj1q 9eo2qkC1es34tSVXQmHLOjULciyFrGhTsm1rTO2Et3A/0q0LTK6Eu3gr8u1LSW+Ev4AXEi7sSDCE w4gFMm5sSPGDx5DxUa4MSHJSzG0vc9ajuYHnz+VGk6YTmoHp09tWs16Teshrr65nj4mtoLbtZrp3 9znpG2rv4FNwHxhOHBjy5EqMI2COFTo452ik/1xuXQh17Nkbce/uYzv4mt/H4xBvvmX59ImAsze5 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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数
n&= #12308;step5〕 間を結んӗ= 1;完成
u(x)
x
0
1
x0
x1
=
= =
0.5
= =
xn
0.25
xp
=
0.75
xp
= =
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8agRIpcSJfNJ8UCnDCP1enBip9ot0+rlSsPULpkIPi/NaiC7vUvDh+95bmxH4/M/OR9X9+cSKBhE WGhyiCiiuFjU6Ji0F/kCSTnCcnlTAAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0019.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数 = 398;利用
ߴ= 3;4再考
どちらか1回= 引ける．どっちがい= 2356;？
Lot 4
0.4 : \10,0= 00
0.6 : \2,00= 0
Lot 5
0.1 : \6,00= 0
0.9 : \5,00= 0
&#= 21508;々効用関数を作成{= 75;，期待効用値 E*&#= 12434;求めてみよう!
演習
u(xi) ：効= ;用関数
pi : xi の生起確率 <= /span>
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R0lGODlhlgAxAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACU AC8AgAAAAAAAAAKyhB15y+0Po5y0WpvCU7f7D4biwh3aiKbqep2Ay8byLLowjed6o937D5SVgsTi aGhMKinIpfNp8kGnySb1GrRitzkt9xvzgscoMfn8MaPXFTX7DXHD5yQp/c6z4/cvPf8u97cWKHhG WDh2iPiluLjV6HgFGTk1SflkebmUqVnl18n4CfooOipZalqJmoq5yrrp+uopS8ZJi2N7O5Ory3IS 26tjE1xZR+wkxXvMJKa87GBVAAA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0020.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数 = 398;利用
= nu(x0)=3D0
n 〔x0=3D0円〕
= nu(xp)=3D0.25
n 〔xp=3D1500= 870;〕
= nu(xn)=3D0.5
n 〔xn=3D4000= 870;〕
= nu(xq)=3D0.75
n 〔xq=3D6000= 870;〕
= nu(x1)=3D1
n 〔x1=3D1万円〕
ߴ= 3;4再考
効用関数による&#= 26399;待効用値計算例
u(x)
x
0
1
x0
x1
= =
=
0.5
= =
xn
0.25
xp
= =
0.75
xp
=
\0
\1500
\4000
\6000
\10000
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R0lGODlhQgAgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAABB AB8AgAAAAP9mAAJYhI+py+0dnpxUhlizfhfvDwJXSG5jiU5nyjJrCx9vDM80a99orodd3+IBP8Kh pmisIJMqDxO0fDqiUpezqqRiEdqt7Oq1gMPTMdl6pnTDa28b+0tzzHJFAQA7 ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0020_image263.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhbAAkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBr ACIAgAAAAP9mAAJyhI+py+0PYwxU2ouzNjTsD4ZWJ5Zm2Xnnyo5VC8cLKdcybecrrvch7wtiUsLi 8GVMQoDKZoLpjEKjzSk1ab0KiVopslv9grHicTFrzqHTtzUb5n634vJduW6j41H3PVzv9wEYuDFI mGF4eJGoKMHYaFEAADs= ------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0021.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
効用関数 = 398;利用
ߴ= 3;4再考
効用関数による&#= 26399;待効用値計算例
Lot 4
0.4 : \10,0= 00
0.6 : \2,00= 0
Lot 5
0.1 : \6,00= 0
0.9 : \5,00= 0
この人は, Lot5を選ぶ! (と&= #24605;われる)
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------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0032.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
参考= ;文献
n[1] 岡田章「ゲームச= 2;論」有斐閣（1996）
n[2] 木下栄蔵「わかりӚ= 0;すい意思決定論入門&= #12301;近代科学ట= 8;（1996）
n[3] 日本OR学会編&= #12300;OR事典2000<= /span>」（2000&= #65289;
n[4] 中山弘隆ӥ= 9;谷野哲三「多目的ಕ= 8;形計画の理論と応用&= #12301;コロナ= 社（1994）
n[5] 鈴木光男「ゲームச= 2;論入門」共立出版ᦀ= 8;1981,2003[新装版]）
n[6] 木下栄蔵ಗ= 2;「AHPの理論とऩ= 5;際」日科技連ᦀ= 8;2000）
------=_NextPart_01C6E197.435D0A00 Content-Location: file:///C:/72785C12/06dmt_2.files/slide0043.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 意思決定科学　2．= 6399;待効用
補足= ;
nSavageの期待効ஷ= 2;関数 &= #65288;[3,6]<= span style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PGothic"; font-size:75%;mso-fareast-hint:yes'>など）
n客観確率ӗ= 8;代わりに主観確率を&= #29992;い，期待効用仮説 = 364;成り立つ基数効用໶= 6;数と主観確率が存在&= #12377;るための必要十分= 465;件を求めているᦁ= 4;
ncf. 基数尺度ӗ= 5;従う基数効用関数, 順序尺度ӗ= 5;従う序数効用関数
n
nリスク・Ӣ= 3;レミアム ([1]&= #12394;ど) =
n初期資産 x &= #12395;おけるリスク z &= #12395;対する意思決定者 = 398;リスク・プレ&= #12511;アム（risk premium&= #65289; <= /div>
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<= /div>
<= /div>
<= /div>
<ヘッダー>
<= /div>
<= /div>
<= /div>
<日付/時&#= 21051;>
マスタ テキスト{= 98;書式設定
第 2 レベル <= /div>
第 3 レベル <= /div>
第 4 レベル <= /div>
第 5 レベル
<= /div>
<= /div>
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<フッター>
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<#>
平成１７= 180;の「オータムジャン= ;ボ宝くじ」（新市町&#= 26449;振興第495回全国= ;自治宝くじ） 概要
名称 ：「オータ= ;ムジャンボ宝くじ」&#= 65288;新市町村振興第495回全国自治宝 = 367;じ）&#= 13;
発売期間 ：平= ;成１７年９月２６日&#= 65288;月）～平成１７年ʌ= 97;０月１１日（火）（= 最終日を前に売り切れと = 394;る場合もございます= ;のでご了承下さい）&#= 13;
発売額 ：360億円
発売元 ：全国都道= ;府県&#= 13;
発売地域 ：全= ;国&#= 13;
価格 ：1枚300円= &#= 13;
抽せん日 ：平= ;成１７年１０月１４&#= 26085;（金）&#= 13;
会場 ：伊集院文= ;化会館（鹿児島）〔&#= 12450;トラクション付き{= 09;
当せん金の明 = 048; ：下= ;表のとおり&#= 13;
等級　当せん%= 329;　本数【1億2000万枚= ;限定】
1等　150,000,000<= span style=3D'font-family:"MS PMincho";mso-fareast-font-family:"MS PMincho"; mso-fareast-hint:yes'>円　24本
1等の前後賞　25,000= ,000円　48本
1等の組違い賞100,00= 0円2,376本= &#= 13;
2等10,000,000円= 24本
3等1,000,000円= 240本
4等50,000円= 36,000= 本
5等10,000円= 240,00= 0本
6等3,000円= 1,200,= 000本
7等300円= 12,000= ,000本
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
P(N>=3D50) = =3D (1/2)^50 + (1/2)^51 + (1/2)^52 + …
      =3D (1/2)= ^49 × ( ½= ; + ¼ + 1/8 + …)
      =3D (1/2)= ^49 × 1
      =3D (1/2)= ^49
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IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis()=20 { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans )=09 { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply()=09 } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis()=20 { if( !IsNts() ) return false=20 SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) {=20 nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.filter !=3D ""; } function GetSldId()=20 { var regExp =3D /file:\/\/\//i var pos =3D location.href.search(regExp) if (MHTMLPrefix !=3D "" && pos !=3D -1) sId =3D location.href.substring(pos) else { sId =3D RemoveFilePrefixFromHref(location.href); var regExp =3D /\// var fixedHref =3D sId var pos =3D -1 =09 pos =3D fixedHref.search(regExp) while (pos !=3D -1) { fixedHref =3D fixedHref.replace(regExp, "\\") pos =3D fixedHref.search(regExp) } =09 if (g_fBaseHyperlink =3D=3D true) sId =3D "file:///" + fixedHref; else sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1) } =09 return sId } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } }function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { =09 if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"スライド ショӦ= 0;の最後です。 クリッ= クすると終了します= 2290;", SCREEN_MODE=3D"Frames", gIsEndShow=3D0, NUM_VIS_SLDS=3D34, SCRIPT_H= REF=3D"script.js", FULLSCR_HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var g_fBaseHyperlink =3D false; var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,-1,1),new hrefList(= "slide0027.htm",1,-1,1),new hrefList("slide0028.htm",1,-1,1),new hrefList("= slide0002.htm",1,-1,1),new hrefList("slide0008.htm",1,-1,1),new hrefList("sl= ide0003.htm",1,-1,1),new hrefList("slide0004.htm",1,-1,1),new hrefList("sli= de0005.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("slid= e0007.htm",1,-1,1),new hrefList("slide0029.htm",1,-1,1),new hrefList("slide= 0009.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("slide0= 011.htm",1,-1,1),new hrefList("slide0012.htm",1,-1,1),new hrefList("slide00= 13.htm",1,-1,1),new hrefList("slide0014.htm",1,-1,1),new hrefList("slide003= 1.htm",1,-1,1),new hrefList("slide0033.htm",1,-1,1),new hrefList("slide0036= .htm",1,-1,1),new hrefList("slide0034.htm",1,-1,1),new hrefList("slide0037.= htm",1,-1,1),new hrefList("slide0035.htm",1,-1,1),new hrefList("slide0016.h= tm",1,-1,1),new hrefList("slide0038.htm",1,-1,1),new hrefList("slide0039.ht= m",1,-1,1),new hrefList("slide0040.htm",1,-1,1),new hrefList("slide0041.htm= ",1,-1,1),new hrefList("slide0042.htm",1,-1,1),new hrefList("slide0019.htm"= ,1,-1,1),new hrefList("slide0020.htm",1,-1,1),new hrefList("slide0021.htm",= 1,-1,1),new hrefList("slide0032.htm",1,-1,1),new hrefList("slide0043.htm",1= ,-1,1)); /********************************************* Frameset functions These functions control slide navigation and state of the frameset. **********************************************/ function RemoveFilePrefixFromHref(href) { var regExp =3D /^file:\/\/\//i; return href.replace(regExp, "") } function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) {=09 var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix();=20 function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') {=20 href=3Dnew String(document.location.href)=20 Start=3Dhref.indexOf('!')+1=20 End=3Dhref.lastIndexOf('/')+1=20 if (End < Start)=20 return href.substring(0, Start)=20 else=20 return href.substring(0, End)=20 } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ClearMedia() { // Clear any sounds playing before launching another browser window. Other= wise, // in fullscreen mode, you'll continue to hear the sound in the frames mod= e. if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() {=20 if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if (MHTMLPrefix !=3D "") href =3D RemoveFilePrefixFromHref(href) if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { =20 obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else =20 return gCurSld } function GetNumSlds() { =20 if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; =09 if (MHTMLPrefix !=3D "") PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref= )) else PPTSld.location.replace(obj.mSldHref) =09 if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 if (MHTMLPrefix !=3D "") PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href)) else PPTSld.location.replace(href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; =09 var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document var dir =3D doc.body.dir if( dir !=3D "rtl" ) dir =3D "ltr"; doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); /********************************************* Navigation button implementation There are 2 types of buttons: ImgBtn, TxtBtn implemented as function objects. They share a similiar interface so the event handlers can call SetActive, for example, on a button=20 object without needing to know exactly=20 what type of button it is. **********************************************/ //---------------------------------- function ImgBtn( oId,bId,w,action ) //---------------------------------- { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0=20 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { =20 obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0=20 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } =20 } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } //----------------------------------------- function TxtBtn( oId,oeId,action,chkState ) //----------------------------------------- { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { =20 this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) {=20 if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } =20 } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1=20 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etPressed() } function _BSetA_BorderImg() {=20 b =3D gBtnArr[this.mBorderId]=20 if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _BSetI_BorderImg() {=20 b =3D gBtnArr[this.mBorderId] if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN= tsPane ) gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg; gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg; gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.= ToggleNtsPane,GetNtsState ) gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To= ggleNtsPane,GetNtsState ) gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n= b_prevBorder",30,parent.GoToPrevSld ) gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n= b_nextBorder",30,parent.GoToNextSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice= ","nb_voiceBorder",18,parent.ToggleVNarration ) gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT= xt","nb_otlTxtBorder",23,parent.ToggleOtlText ) gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts" gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState /********************************************* Context menu implementation _CM() is the function that's hooked up to the oncontextmenu event. Once we're asked to show the menu, we first build it by creating DIVs on-the-fly. Then we position it=20 within the screen area so it doesn't get clipped. Creating the DIVs using createElement() means we don't have to write out any extra HTML into the slide HTML files. **********************************************/ var sNext=3D"次へ",sPrev=3D"前へ",sEnd=3D"ス&= #12521;イド ショーの終了",s= Font=3D"ＭＳ 明朝",sArrow=3D"矢印",sFre= eform=3D"フリーフォーム",sRect=3D= "四角形",sOval=3D"楕円" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) =09 CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();= PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; 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 &#= 12494;ート
スライド ショー
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