A non-zero-sum war of attrition

被引：2

作者：

Baston, VJ ^{[1
]}

Garnaev, AY

机构：

[1] Univ Southampton, Dept Math, Southampton SO9 5NH, Hants, England

[2] Civil Engn Inst, Dept Computat Math, St Petersburg 198005, Russia

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 1997年 / 45卷 / 02期

关键词：

War of attrition; Nash equilibrium; game of timing;

D O I：

10.1007/BF01193860

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The division of a cake by two players is modelled by means of a game of timing in which the players have a probability of learning when their opponent acts. It is shown that the game has a unique Nash equilibrium when both players are non-noisy but that there are many Nash equilibria including pure ones when at least one of the players is noisy. Explicit expressions for the strategies used in these Nash equilibria are obtained.

引用

页码：197 / 211

页数：15

共 50 条

[1] COMMUNICATION IN NON-ZERO-SUM GAMES
SWINGLE, PG
SANTI, A
[J]. JOURNAL OF PERSONALITY AND SOCIAL PSYCHOLOGY, 1972, 23 (01) : 54 - &
[2] OLIGOPOLY AS A NON-ZERO-SUM GAME
NEISSER, H
[J]. REVIEW OF ECONOMIC STUDIES, 1957, 25 (66-6): : 1 - 20
[3] A NON-ZERO-SUM GAME OF FOOTBALL
MCLEAN, I
[J]. BRITISH JOURNAL OF POLITICAL SCIENCE, 1980, 10 (APR) : 253 - 259
[4] INDIA AND CHINA: THE NON-ZERO-SUM GAME
Kupriyanov, Aleksey, V
[J]. MIROVAYA EKONOMIKA I MEZHDUNARODNYE OTNOSHENIYA, 2020, 64 (06): : 133 - 141
[5] EXPLOITATIVE BEHAVIOR IN NON-ZERO-SUM GAMES
SWINGLE, PG
[J]. JOURNAL OF PERSONALITY AND SOCIAL PSYCHOLOGY, 1970, 16 (01) : 121 - &
[6] The challenge of non-zero-sum stochastic games
Robert Samuel Simon
[J]. International Journal of Game Theory, 2016, 45 : 191 - 204
[7] The structure of non-zero-sum stochastic games
Simon, Robert Samuel
[J]. ADVANCES IN APPLIED MATHEMATICS, 2007, 38 (01) : 1 - 26
[8] The challenge of non-zero-sum stochastic games
Simon, Robert Samuel
[J]. INTERNATIONAL JOURNAL OF GAME THEORY, 2016, 45 (1-2) : 191 - 204
[9] A Non-zero-sum, Sequential Detection Game
Soper, Braden
Musacchio, John
[J]. 2015 53RD ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 2015, : 361 - 371
[10] TEMPTATION AND THREAT IN NON-ZERO-SUM GAMES
WORCHEL, P
[J]. JOURNAL OF CONFLICT RESOLUTION, 1969, 13 (01) : 103 - &

← 1 2 3 4 5 →