Symmetric multi-person zero-sum game with two sets of strategic variables

Atsuhiro Satoh and Yasuhito Tanaka

MPRA Paper from University Library of Munich, Germany

Abstract: We consider a symmetric multi-person zero-sum game with two sets of alternative strategic variables which are related by invertible functions. They are denoted by (s1, s2, ..., sn) and (t1, t2, ..., tn) for players 1, 2, ..., n. The number of players is larger than two. We consider a symmetric game in the sense that all players have the same payoff functions. We do not postulate differentiability of the payoff functions of players. We will show that the following patterns of competition, 1) all players choose si, 2) all players choose ti and 3) m players choose ti, i=1, ..., m and n-m players choose sj, j=m+1, ..., n where 1

Keywords: multi-person zero-sum game; two strategic variables (search for similar items in EconPapers)
JEL-codes: C72 D43 (search for similar items in EconPapers)
Date: 2016-12-28
New Economics Papers: this item is included in nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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