Two person zero-sum game with two sets of strategic variables

Satoh, Atsuhiro and Tanaka, Yasuhito (2016): Two person zero-sum game with two sets of strategic variables.

Abstract

We consider a two-person zero-sum game with two sets of strategic variables which are related by invertible functions. They are denoted by (sA, sB) and (tA, tB) for players A and B.

We will show that the following four patterns of competition are equivalent, that is, they yield the same outcome.

1. Player A and B choose sA and sB (competition by (sA, sB)).

2. Player A and B choose tA and tB (competition by (tA, tB)).

3. Player A and B choose tA and sB (competition by (tA, sB)).

4. Player A and B choose sA and tB (competition by (sA, tB)).

• Item Type: MPRA Paper
• Language: English
• Keywords: zero-sum game, two strategic variables, equivalence of outcome
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games; L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L13 - Oligopoly and Other Imperfect Markets

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