Interval valued bimatrix games. (English) Zbl 1202.91021

This paper deals with a two-player simultaneous game with finite strategy sets. Instead of precise payoffs for the players, the upper and lower values of there payoffs are known. It is shown that the existence of an equilibrium for such an interval game is equivalent to the solvability of a certain linear integer system of equations and inequalities. Moreover, the set of all possible equilibria can be characterized by means of a linear integer system.


91A15 Stochastic games, stochastic differential games
91A05 2-person games
90C11 Mixed integer programming
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