On a Carathbodory-Type Selection Theorem

Abstract

In the present paper we obtain a Caratheodory-type selection theorem. This result is used in [9] to extend the theory of Nash equilibria, developed in [12, 4, 2, 7, 8, 10, and 13-171, to the setting of an arbitrary measure space of agents and an infinite dimensional strategy space. More specifically, we consider the following problem. Let T be a measure… (More)

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