TITLE:
An Alternative Interpretation of Mixed Strategies in n-Person Normal Form Games via Resource Allocation
AUTHORS:
Ahmad Nahhas, H. W. Corley
KEYWORDS:
Game Theory, Mixed Strategy, Resource Allocation
JOURNAL NAME:
Theoretical Economics Letters,
Vol.8 No.10,
June
21,
2018
ABSTRACT: In this paper, we give an interpretation of mixed strategies in
normal form games via resource allocation games, where all players utilize the
same resource. We define a game in normal form such that each player allocates
to each of his pure strategies a fraction of the maximum resource he has
available. However, he does not necessarily allocate all of the resource at his
disposal. The payoff functions in the resource allocation games vary with how
each player allocates his resource. We prove that a Nash equilibrium always
exists in mixed strategies for n-person resource allocation games. On the other hand, we show that a mixed
Berge equilibrium may not exist in such games.