Abstract

In the paper two-person nonzero-sum semi-infinite games with bounded payoffs are studied — both with countable and uncountable infinite strategy space. Under some concavity/convexity assumptions they are shown to possess ε-equilibria (equilibria) in strategies with supports consisting of at most two points of the players' pure strategy spaces. Further the games without any concavity/convexity properties are studied. It is proved that they possess ε-equilibria (equilibria) in strategies having certain finite supports.

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