,
|
|
- みそら きちや
- 7 years ago
- Views:
Transcription
1 2 ver 1.0 ( ) (Neumann and Morgenstern 1953=2009:136). 1 S 2. S , ( hamada/ ) 1
2 ,
3 2, 1 0, 0 0, 0 1, 2 1:
4 2.2 1 ( ) (, ) 最初の状態 青葉が変更 花京院が変更 1: 1 0 4
5 2 0 (, ) (, ) 5
6 最初の状態 青葉が変更 花京院が変更 2: (, ) (, ) (, ), (, ) 6
7 : : (, ), (, ) (, ) (, ) (). N = {1, 2,, n} n i S i S i i {a, b, c} = S i i a, b, c 3 7
8 N = {1, 2}, S 1 = {a, b}, S 2 = {c, d} S 1 S 2 = {(a, c), (a, d), (b, c), (b, d)} 3 (a, c) 1 a 2 c 3 ( ). i u i u i : S 1 S 2 R u i i R 3 8
9 2 N = {1, 2}, S 1 S 2 = {(a, c), (a, d), (b, c), (b, d)} u 1 ((a, c)) = 3, u 2 ((a, c)) = 5 (a, c) OK N = {, } S S = {(, ), (, ), (, ), (, )} u ((, )) = 2, u ((, )) = 0, u ((, )) = 0, u ((, )) = 1 u ((, )) = 1, u ((, )) =, 0u ((, )) =, 0u ((, )) = 2 () 2 2 9
10 4 (). N = {1, 2,, n} i S i S = S 1 S 2 S n, s S s i s i s i = (s 1, s 2,..., s i 1, s i+1,..., s n ) s s i s i s i s = (s i, s i ) s S i N ( t i S i u i (s i, s i ) u i (t i, s i )) ν() 2.4 t i S i t i S i i N 10
11 i N N i 1 n i N u i (x) = 10 i n u i (x) = 10. u 1 (x) = u 2 (x) = = u n (x) = 10 t i S i S i t i t i 1 S i t i S i S i t i S i u i (s i, s i ) u i (t i, s i ) S i t i u i (s i, s i ) u i (t i, s i ). i s i S i i t i S i i S i = {a, b, c} t i S i a, b, c t i S i f(t i ) > 10 f(a) > 10 f(b) > 10 f(c) > 10 11
12 2.5 (, ) (, ) 2 (, ) (, ) 2 : (, ) (, ) : (0, 0) (2, 1) 1 (, ) (, ) : (, ) (, ) : (0, 0) (1, 2) 12
13 動物園 水族館 動物園 (2, 1) (0, 0) パレート改善 水族館 (0, 0) パレート改善 (1, 2) 3: (, ) (, ), (, ) (, ) 1 1 (2, 1) (2, 2)
14 5 ( ). s S i N u i (t) > u i (s) t S
15 References Gibbons, R., 1992, Game Theory for Applied Economists, Princeton University Press 1995,, [1996] 2011,. Osborne, Martin J., and Ariel, Rubinstein, 1994, A Course in Game Theory, MIT Press. 15
( ) ver.2015_01 2
1 1.1 1.2 1.3 2 ( ) 2.1 2.2 2.3 2.4 3 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 6 6.1 6.2 6.3 7 7.1 7.2 7.3 8 ver.2015_01 2 1 1.1 1.2 1.3 ver.2015_01 3 2 2.1 2.2 2.3 ver.2015_01 4 2.4 ver.2015_01
More information俱楽 FC B1
22 7 26 19 30 20 30 11 50 22 3 2 俱楽 FC B1 22 3 3 22 3 4 22 3 5 70 22 3 6 OK 22 3 7 20 22 3 8 290 22 3 45,000 6,000 52,000 52,000 48,300 5 4 7 15 20 45 9 22 3 10 22 38 20 6 200 300 200 22 3 67,000 B1 B1
More information4 1 5 737 145 81 56 1 2 3 4 5 1 1943 9 23 2 30 3 4 1945 3 1945 11 20046 23 146 738 2003 5 4 1 1943 7 2004 18 38 1988 2009 739 147 81 56 200433 1932 198523 3 197464 4 1 148 740 2001 106 200277 76 200645
More information1 2000 9 2 (2000) ( ) 1 1 4 (2000) 2
Working Papaer No.233 2008 2 1 1 2000 9 2 (2000) ( ) 1 1 4 (2000) 2 2 Econometrica 1970 3 70 2 ( ) 1994 Jhon Nash, Jhon Harsanyi, Reinhart Selten 3 1980 Kreps Wilson 2 (JM Henderson and RE Quant(1972),
More informationchapter4.PDF
4. 4.1. 4.2. 63 4 1 4.3. 4.3.1. 4 a) 1 5 b) 1 c) d) 1 4.3.2. a) b) c) a) 10 18 b) 2 17 2 1 54 2 1 c) 11 4 1 1 (TB) (FB) TB FB 4.3.3. 4.3.4. 1 18 16 4.3.5. a) b) 18 16 a) b) c) 1 18 16 2 1 18 16 3 18 16
More information玉田康成研究会 < オークションパート > 赤星仁田中さゆり若森直樹 1 2 2 3 2.1... 3 2.1.1... 3 2.1.2... 3 2.1.3... 4 2.1.4... 4 2.1.5... 4 2.2... 5 2.2.1... 5 2.2.2... 5 2.3... 6 2.3.1... 6 2.3.2... 6 3 8 3.1... 8 3.1.1... 8 3.1.2...
More information06 プロ和文_第23回●7カラー.indd
M1-1 M1-2 M1-3 M1-4 M1-5 M1-6 M3-1 M3-2 M3-3 M3-4 M3-5 M3-6 M4-1 M4-2 M4-3 M4-4 M4-5 M4-6 Fa-1 Fa-2 Fa-3 Fa-4 SLL-A-1 SLL-A-2 LS-1 IS1-1 IS1-2 IS1-3 IS1-4 IS1-5 Fb-1 Fb-2 Fb-3 Fb-4 M2-1-1 M2-1-2 M2-1-3
More informationuntitled
ADSLFTTH P2P CDN(Contents Delivery Network) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
More information年計グラフ作成システム
2003/01/20 2.00 1/29 2003/01/20...2...3...4...5...7...9... 11...13...15...16...17...18...19...20...21...23...24...26...27 FAQ...29 2/29 2003/01/20 Microsoft Access 2000 Microsoft Excel 3/29 2003/01/20
More informationACS37_04咸.indd
1910 1. 1895 1910 8 1910 1910 1910 1910 1) 2) 95 2005 The Seoul Press 2003 1910 6 1910 1910 3) 4) 5) 1918 1910 1910 1910 1910 1910 96 1910 2. (1) 1910 8 29 1910 8 30 6) 1910 7) The Seoul Press 1910 8)
More information東京で独立開業する。~独立開業マニュアル東弁版~
26 2010 2012 1 2013 2 2014 4 2006 2010 2015 2015 2013 2012 2012 2014 2012 2012 2014 2010 2015 / 2014 2013 2012 2014 2014 2014 2015 2015 2014 2014 2010 2009
More information株主通信:第16期 中間報告書
9 1 20,000 15,000 10,000 5,000 2007/4 2008/4 2009/4 2010/4 2011/4 2012/4 2013/4 01 02 2 3 03 04 4 05 06 5 133,362 206,945 344,360 363,936 67,583 128,114 819 18,583 412,477 846,445 164,935 422,265 1,433,645
More informationP15 P211 1 P1 P4 P2 P3 P4 P17
P15 P211 1 P1 P4 P2 P3 P4 P17 P3 P4 P7 P8 P9 2 1 Q A P17 P17 1 2 3 4 3 5 6 7 8 2 P17 Q A P17 4 1 2 3 4 2 P17 P4 P12 P17 P4 5 5 6 7 8 2 P4 P4 6 1 2 3 4 3 P17 P10 P17 7 5 6 7 8 4 0120-096-991 P17 8 1 2 3
More informationuntitled
...1...3 -... 3 -... 3...5 -... 5 -... 5 -... 6 -... 7 -... 7 -... 7 -... 10 -... 17 -... 17 -... 18 -... 20 -... 21 1 TEL 2 3 4 ) ) 5 6 7 8 9 10 11 () (4) () (4) () () 730-0042730-8586 730-0042 730-0042730-8586
More informationuntitled
No. 2011 3 25 [E-mail] info@borderstudies.jp 1 / 15 2010 12 18-10 僅 3 2006 2007 2008 2008 4 5 9 HBC 2 1 5 OK 3 1 4 1 144 20 20 9 7 1 8 10 10 5 汲 1 2 6 ( ) 3 6 3 1 45 2 45 2 10-15 7 2.5 3 ( ) 2 3 1 8 1
More informationMultiWriter 5650C 活用マニュアル
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 11 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 a b c 30 31 32 C *1 *2 *2 33 2 2 2 2 2 2 2 2 2 34 *1 *2 ± *1 C C 35 36 37 38 39 40 OK 1 2 3 4
More information1 1 2 (game theory)
11 6 1 1 2 (game theory) 1 2.1........................................ 1 2.2...................................... 3 3 2 3 3.1........................................ 3 3.2...................................
More information( ) f a, b n f(b) = f(a) + f (a)(b a) + + f (n 1) (a) (n 1)! (b a)n 1 + R n, R n = b a f (n) (b t)n 1 (t) (n 1)! dt. : R n = b a f (n) (b t
5 1 1.1 ) f, b n fb) = f) + f )b ) + + f n 1) ) n 1)! b )n 1 + R n, R n = f n) b t)n 1 t) n 1)! dt. : R n = f n) b t)n 1 t) n 1)! dt ] b b b t)n 1 + n 1)! = f n 1) b )n 1 ) + R n 1. n 1)! R n = [f n 1)
More information1% 51% 4% 13% 31% 152 50 47 36 32 21 20 20 16 14 7 3 1
1% 13 13 19 20 1% 80 9% 70 41% 60 34% 30 3% 40 5% 50 6% 51% 2% 47% 3% 1% 14% 10% 23% 49% 1% 51% 4% 13% 31% 152 50 47 36 32 21 20 20 16 14 7 3 1 102 228 OK 228 46 42 17 10 8 6 5 1 14% 25% 1% 3% 7% 27% 23%
More information○広島大学職員任免規則\(案\)
1 (14 2 1 (58 2 (9 3 (1012 4 (13 5 (1415 6 (1622 3 1 (23 2 (2425 3 (2627 4 (2829 4 (3033 5 (34 36 6 (37 1641 81 1 ( 1 ( 1641 78 ( 1641 79 ( 1641 80 ( 2 ( 22 49 ( 2 ( 3 101 Hiroshima University (1 ( ( (2
More information○広島大学船員就業規則
1 (14 2 1 (58 2 (9 3 (10 4 (1112 5 (1316 6 (1720 7 (2123 8 (2425 3 (26 4 (27 37 5 (38 6 (3959 7 (60 8 (6166 9 (67 78 10 (79 11 (80 12(81 13 (82 14 (83 15 (84 1641 79 1 ( 1 ( 1641 121 2 ( ( ( 2 ( 22 100
More information<8CA48B8694EF8E E E816991E C5816A5F8DC58F4994C52E706466>
3 4 5 7 8 9 13 14 15 16 17 18 19 21 23 25 27 28 29 30 1 KYUSHU UNIVERSITY KYUSHU UNIVERSITY 2 KYUSHU UNIVERSITY KYUSHU UNIVERSITY 2 3 4 KYUSHU UNIVERSITY KYUSHU UNIVERSITY 3 5 6 KYUSHU UNIVERSITY KYUSHU
More information1949 1902 1872 1886 1873 04 UNIVERSITY OF TSUKUBA 2002 1973 1962 UNIVERSITY OF TSUKUBA 05 06 UNIVERSITY OF TSUKUBA UNIVERSITY OF TSUKUBA 07 10 UNIVERSITY OF TSUKUBA 105 UNIVERSITY OF TSUKUBA 11 1.85%
More information大学通信VOL196
196 3 4 2013 2. 3. 4. 6. 8. 11. 12. 13. 14. 15. 16. 17. 18. 21. 22. 23. 2 AICHI UNIVERSITY 3 4 AICHI UNIVERSITY 5 6 AICHI UNIVERSITY 7 8 AICHI UNIVERSITY 9 10 AICHI UNIVERSITY 11 12 AICHI UNIVERSITY 13
More informationA P18 P11 P P1 P4 P17 P3 P4 1
A P18 P11 P P1 P4 P17 P3 P4 1 P3 P4 P7 P8 P9 1 Q A 1 3 4 P17 P17 3 6 7 8 P17 P13 Q A P17 4 1 3 4 P17 P14 P4 P13 P17 P4 6 7 8 P4 P4 6 1 3 4 3 P17 P17 7 6 7 8 4 010-096-991 P17 8 1 3 4 P17 P17 Q A 9 6 7
More information<4D6963726F736F667420576F7264202D2091E591BA8BA392F88DC58F4995F18D908F91323030362E372E332E646F63>
1 15 12 17 6 18 2 2 3 07 07 07 19 6 1 2 3 4 5 6 7 36% 33% 23% 4% 5% 2.5 1.5 5 1.5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
More information... 4... 5 (FA )... 6... 6 A FA... 7... 7. FA... 8.... 9.... 10. FA... 11 B. FA... 12 C 3 ()... 13 FA... 13 FA... 14... 14 FA... 14 ()... 15... 16...
... 4... 5 (FA )... 6... 6 A FA... 7... 7. FA... 8.... 9.... 10. FA... 11 B. FA... 12 C 3 ()... 13 FA... 13 FA... 14... 14 FA... 14 ()... 15... 16... 17 ()... 20... 20... 21... 22 D... 23 E ()... 23...
More information商学 66‐1☆/16.田口
251 1 2, 3 4, 5 2 1 2005 stakeholder agent p.13 2005 2009, 2011, 2012, 2013 b, 2014 Taguchi et al.2013 Aoki2001, 201019962010 2014 2013! 252 2 " " " " 6 " " " " 7 2! 3 p.5 2013 2011201120132012 Aoki20012004
More information第五章 競馬事業に見る戦時体制
39 1906 180 6 6 10 2 6 1940 1940 1940 1 GHQ 9 139 63 2 3 4 5 6 140 12 1937 16 1941 7 8 1940 9 1940 10 1940 11 12 13 14 13 1938 17 1942 15 16 141 17 18 6 19 1920 1920 70 15 1926 20 142 5 1930 6 1931 2 3
More informationToyo University 1 2 Toyo University Toyo University 3 2 5 201022 4 Toyo University Toyo University 5 6 Toyo University Toyo University 7 20 1 1 1 1 21 4 21 8 Toyo University Toyo University 9 10 Toyo University
More information06...E...z.....q.ec6
15 1 2 1 2 1 2 82 2 2 1 1 2 2 15 Q P Q P Q 2 3 P Q 2 3 P Q 2 4 5 Q Q 6 4 96 1 1 3 2 1 2 1980 3 1994 2 3 3 2 4 7 1980 5 83 15 1994 5 a b c d a 1 2 b c db 3 4 5 6 84 7 8 3 Brown & Levinson 1987 negative
More informationビューワソフトウェア使用説明書
Ver. 3.6 2 3 4 c e Live Active 5 6 c c e 7 8 10 c e 1 11 12 1 13 14 1 2 1 3 4 5 11 10 9 8 7 6 1 2 3 4 5 15 6 7 8 9 10 11 16 c 1 17 1 2 3 4 5 6 18 1 e 19 c 20 1 21 c e 22 1 23 c 2 e 25 26 2 27 1 2 28
More informationWinter 図 1 図 OECD OECD OECD OECD 2003
266 Vol. 44 No. 3 I 序論 Mirrlees 1971 Diamond 1998 Saez 2002 Kaplow 2008 1 700 900 1, 300 1, 700 II III IV V II わが国の再分配の状況と国際比較 OECD Forster and Mira d Ercole 2005 2006 2001 Winter 08 267 図 1 図 2 2000 2
More informationuntitled
2 3 4 5 6 7 (1) FC 8 (3) 1 9 2 10 3 11 4 2010P 5 6 GL GL GL 7 (2) 18 09 25 4 2010P 5 6 7 12 18 10 02 18 10 10 18 10 16 18 10 23 18 10 30 18 11 06 18 11 13 18 11 20 18 11 27 10 18 12 04 11 18 12 18 12 2010P
More informationさくらの個別指導 ( さくら教育研究所 ) A a 1 a 2 a 3 a n {a n } a 1 a n n n 1 n n 0 a n = 1 n 1 n n O n {a n } n a n α {a n } α {a
... A a a a 3 a n {a n } a a n n 3 n n n 0 a n = n n n O 3 4 5 6 n {a n } n a n α {a n } α {a n } α α {a n } a n n a n α a n = α n n 0 n = 0 3 4. ()..0.00 + (0.) n () 0. 0.0 0.00 ( 0.) n 0 0 c c c c c
More information2018_センター試験速報_数2B.indd
08 年度大学入試センター試験解説 数学 Ⅱ B 第 問 60 80 ア = 80 = 80 44 = 80 44 = 4 5 イ, ウ = 80 = 45 エオカ sin + 5 - cos + 0 = = + 5 = - 5 sin - cos { - 5 + 0 } = sin - cos - = キ 6 cos - 6 = cos cos 6 + sin sin 6 = cos + sin
More information30 Yamasaki Aki 1980 NHK 1980 2000 7 1980 1981-88 NHK 2007 13
30 Yamasaki Aki 1980 NHK 1980 2000 7 1980 1981-88 NHK 2007 13 31 156 interesting 2004? 2003 pp.140-171. 2003 pp.21-46. 2007 70! pp.9-25. Hoersschelmann,Olaf. 2006 Rules of the Game, New York:State University
More informationlimit&derivative
- - 7 )................................................................................ 5.................................. 7.. e ).......................... 9 )..........................................
More informationベンチャーと戦略ゲーム
2015 5 23 ( ) M&A IPO 2018 1. 60 (John von Neumann) (John F. Nash, Jr.) (Oskar Morgenstern) Theory of games and economic behavior 1) strategic-form game extensive-form game normal-form game non-cooperative
More informationKobe University Repository : Kernel タイトル Title 著者 Author(s) 掲載誌 巻号 ページ Citation 刊行日 Issue date 資源タイプ Resource Type 版区分 Resource Version 権利 Rights DOI チェーンストア パラドックスとは何か (What is the Chain Store Paradox?)
More information組織文化
Z ,,. . INDY JAPAN 3000mile INDYF-1 300 A00 2003 2003 AV 2003 CivicBenz 10 2003 Y-GAYA 2003 1. 10too late 100 2. 2003 2003 75 LA 6 2003 1978 God Guided! 2003 Hatch, M. J. Organization Theory, Oxfrod
More information03.indd
81 opqropqropqropqropqropqropqropqropqropqropqropqr 第 Ⅲ 章 卒業論文作成ガイドライン opqropqropqropqropqropqropqropqropqropqropqropqr 1. 論文作成の各段階で注意すべきこと第一段階 :3 年次のゼミ履修 指導教授の決定 3 3 第二段階 : 登録 LOYOLA 2011 第三段階 : 留学する場合の注意事項
More information1 2 3 1 34060120 1,00040 2,000 1 5 10 50 2014B 305,000140 285 5 6 9 1,838 50 922 78 5025 50 10 1 2
0120-563-506 / 9001800 9001700 123113 0120-860-777 163-8626 6-13-1 Tel.03-6742-3111 http://www.himawari-life.co.jp 1 2 3 1 34060120 1,00040 2,000 1 5 10 50 2014B 305,000140 285 5 6 9 1,838 50 922 78 5025
More informationA (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π
4 4.1 4.1.1 A = f() = f() = a f (a) = f() (a, f(a)) = f() (a, f(a)) f(a) = f 0 (a)( a) 4.1 (4, ) = f() = f () = 1 = f (4) = 1 4 4 (4, ) = 1 ( 4) 4 = 1 4 + 1 17 18 4 4.1 A (1) = 4 A( 1, 4) 1 A 4 () = tan
More informationuntitled
C L C L 4.5m 3.0m 10% 25% 50% 90% 75% 50% N N N 90% 90% 10% 10% 100 100 10 10 10% 10% :49kN :17 :17kN CBR CBR CBR 5 3,000 / 3,000 /mm /mm 1.2mm 89dB 190dB 3,000 3,000 /mm 20% 20%
More information<303395C48DE88D8E95462E696E6464>
2 329 41 1 International Trade Organization NAFTA Double-Edged Diplomacy R. D. Putnam 2 2 2 Putnam Win-Set 3 42 330 63 3 Putnam 2 1 2 1 2 2 2 3 2 2 3 Putnam-Iida-Tarar Putnam 4 1 Schelling (1980) 2 Schelling
More information2 A id A : A A A A id A def = {(a, a) A A a A} 1 { } 1 1 id 1 = α: A B β : B C α β αβ : A C αβ def = {(a, c) A C b B.((a, b) α (b, c) β)} 2.3 α
20 6 18 1 2 2.1 A B α A B α: A B A B Rel(A, B) A B (A B) A B 0 AB A B AB α, β : A B α β α β def (a, b) A B.((a, b) α (a, b) β) 0 AB AB Rel(A, B) 1 2 A id A : A A A A id A def = {(a, a) A A a A} 1 { } 1
More information