Some Qualitative Properties of Matrix Two-Person Games
Keywords:
Matrix two-person game, mixed strategy, linear program, characteristic set map, the value of the game function, characteristic number, density.Abstract
This paper studies some qualitative aspects of matrix two-person games. The continuity of the characteristic sets and of the value of the games are established under suitable conditions. The upper semicontinuity of the characteristic sets and the density of the games having a unique optimal strategy for one player are obtained for matrix games of dimension 2×2. For further investigations, four open questions are formulated.
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