Satoh, Atsuhiro and Tanaka, Yasuhito
(2018):
*Nash equilibrium in asymmetric multi-players zero-sum game with two strategic variables and only one alien.*

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## Abstract

We consider a partially asymmetric multi-players zero-sum game with two strategic variables. All but one players have the same payoff functions, and one player (Player $n$) does not. Two strategic variables are t_i's and s_i's for each player i. Mainly we will show the following results. 1) The equilibrium when all players choose t_i's is equivalent to the equilibrium when all but one players choose t_i's and Player n chooses s_n as their strategic variables. 2) The equilibrium when all players choose s_i's is equivalent to the equilibrium when all but one players choose s_i's and Player n chooses t_n as their strategic variables. The equilibrium when all players choose t_i's and the equilibrium when all players choose s_i's are not equivalent although they are equivalent in a symmetric game in which all players have the same payoff functions.

Item Type: | MPRA Paper |
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Original Title: | Nash equilibrium in asymmetric multi-players zero-sum game with two strategic variables and only one alien |

Language: | English |

Keywords: | partially asymmetric multi-players zero-sum game, Nash equilibrium, two strategic variables |

Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games |

Item ID: | 88978 |

Depositing User: | Yasuhito Tanaka |

Date Deposited: | 15 Sep 2018 07:33 |

Last Modified: | 21 Oct 2019 13:46 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/88978 |