Satoh, Atsuhiro and Tanaka, Yasuhito (2018): Nash equilibrium in asymmetric multiplayers zerosum game with two strategic variables and only one alien.

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Abstract
We consider a partially asymmetric multiplayers zerosum 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 

Original Title:  Nash equilibrium in asymmetric multiplayers zerosum game with two strategic variables and only one alien 
Language:  English 
Keywords:  partially asymmetric multiplayers zerosum 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.unimuenchen.de/id/eprint/88978 