Equilibrium points of nonatomic games over a Banach space

Khan, M. Ali

doi:10.1090/S0002-9947-1986-0816322-3

Equilibrium points of nonatomic games over a Banach space
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by M. Ali Khan

Trans. Amer. Math. Soc. 293 (1986), 737-749

DOI: https://doi.org/10.1090/S0002-9947-1986-0816322-3

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Abstract:

Schmeidler’s results on the equilibrium points of nonatomic games with strategy sets in Euclidean $n$-space are generalized to nonatomic games with strategy sets in a Banach space. Our results also extend previous work of the author which assumed the Banach space to be separable and its dual to possess the Radon-Nikodým property. Our proofs use recent results in functional analysis.

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