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The Correlated Strategy and Game With Contract and Equilibria in the Games of Finitely Strategic Form(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年03期
Page:
33-38
Research Field:
数学
Publishing date:

Info

Title:
The Correlated Strategy and Game With Contract and Equilibria in the Games of Finitely Strategic Form
Author(s):
Liu Zhaojun1; Liu Zongqian2; Feng Sufen2; 3
( 1. S chool ofE conom icM anagem ent, Gu izhou Norm alUn iversity, Gu iyang 550001, Ch ina)
( 2. School ofMathem atical Science, Cap italNorm alUn iversity, B eijing 100037, Ch ina)
( 3. Bei jing Polytechn ic College, B eijing 100042, C h ina)
Keywords:
corre lated strategy;  contract;  allocation;  equilibr ium
PACS:
F224
DOI:
-
Abstract:
The defin itions o f corre la ted stra tegy, gam ew ith contract, m in imax va lue, the a lloca tion set o f expectation paym ent and onewh ich satisfies the ind iv idua-l rationality etc. we re g iven, in the g am es of fin ite ly strateg ic fo rm through the concepts of corre lated strategy and gam e w ith contract that is based onM yerson. Som e properties o r cha racter istics for these concepts were techn ica lly obta ined. Using the properties in m ix ed stra teg ies and the no tation g iven by Liu Zong q ian, the re la tions of correlated strateg ies andm ix ed stra teg ies, equ ilibr ium w ith contrac t and N ash equ ilibrium w ere exp lana tioned and proved theo retically. Them ethods of operating them w ere obta ined. Then som e ou tcom es w ere show ed by ex am ples, and the corresponding result g iven by Fudenberg and T irole w ere exam ined

References:

[ 1] B inm ore K. 博弈论基础( 1992) [M ] / /[法] J- J. 拉丰, 编. 经济理论的进展. 王国成, 译. 北京: 中国社会科学出版社,2001.
[ 2] Aum ann R J. Sub jectiv ity and co rre lation in random ized stra teg ies[ J]. Journa l o fM athema tica l Econom ics, 1974, 1: 67-96.
[ 3] Aum ann R J. Agree ing to d isagree[ J] . Anna ls of Statistics, 1976, 4: 1 236-1 239.
[ 4] Aum ann R J. Co rre la ted equ ilibria as an expression o f bayesian rationa lity[ J]. Econom etr ica, 1987, 55: 1-18.
[ 5] M yerson R. Bayesian equ ilibr ium and incentiv e com patib ility[M ] / / H urw icz L, Schm e idler D, Sonnensche in H. Socia lGoal and Socia lO rganization. Cam bridge: Cambr idge University Press, 1985: 229-259.
[ 6] M ye rson R. 博弈论: 矛盾冲突分析( 1991) [M ]. 于寅, 费剑平, 译. 北京: 中国经济出版社, 2001.
[ 7] 刘宗谦. 混合策略中性质和均衡[ J]. 数学的实践与认识, 2004, 34( 9): 164-170.
[ 8] Liu Zongq ian. The properties and equilibr ium in m ixed strateg ies[ J]. The Proceed ing s of the China Assoc ia tion for Science and Technology, 2006, 2( 2): 35-45.
[ 9] Fudenberg D, T iro le J. 博弈论( 1991) [M ] . 姚洋, 校, 黄涛, 郭凯, 译. 北京: 中国人民大学出版社, 2002.
[ 10] Schelling T. The Strategy of Conflic t[M ]. Cambr idge, M ass: H arvard Un iversity Press, 1960.
[ 11] Farrel J. M ean ing and cred ib ility in cheap-ta lk games[ J]. Gam es and Econom ic Behav ior, 1988, 5: 514-531.
[ 12] M yerson R. Cr id ible nego tiation statem ents and coherent p lans[ J]. Journal o f Econom ic Theory, 1989, 48: 264-303.
[ 13] B inmo re K, B randenburg er A. Common Know ledg e and Gam e Theory [M ] / / B-im ore K. Essays on the Foundations o f Gam e Theory. Ox fo rd: Basil B lackwe l,l 1990.
[ 14] 冯素芬, 张莉. 二人常和博弈中的鞍点与纳什均衡的一致性[ J] . 北京工业职业技术学院学报, 2007, 6( 1): 38-43.

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Last Update: 2013-05-05