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A Milnor condition for nonatomic Lipschitz games and its applications. (English) Zbl 0719.90114
Summary: One of Milnor’s reasonable axioms [see J. W. Milnor, “Reasonable outcomes for n-person games”, RM-916, The Rand Corporation, Santa Monica (1952)] is generalized to nonatomic games. Several uses of this generalization are discussed. In particular, the general form of values and semivalues on subspaces of \(pNA_{\infty}\) is derived.

MSC:
91A70 Spaces of games
91A12 Cooperative games
91A13 Games with infinitely many players (MSC2010)
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