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A categorical characterization of the mixed extension of a noncooperative game. (English) Zbl 0918.90142

Summary: Some variants of the notion of a homomorphism between noncooperative games are discussed and the respective categories of noncooperative games are introduced. It is shown that the mixed extension of a noncooperative game can be viewed as a value of the functor which is a left adjoint to the forgetful functor from some category of convex games to suitable category of noncooperative games.

MSC:

91A10 Noncooperative games
18B99 Special categories
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