On Cournot-Nash equilibria in generalized qualitative games with an atomless measure space of agents

Authors:
M. Ali Khan and Nikolaos S. Papageorgiou

Journal:
Proc. Amer. Math. Soc. **100** (1987), 505-510

MSC:
Primary 90A14; Secondary 28A33, 46G99, 90D13

MathSciNet review:
891154

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Abstract | References | Similar Articles | Additional Information

Abstract: We present a result on the existence of Cournot-Nash equilibria in games with an atomless measure space of players each with nonordered preferences and with strategy sets in a separable Banach space. Our result dispenses with any convexity assumption on the preference correspondence.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1987-0891154-5

Keywords:
Measurable selector,
multifunction,
fixed point,
generalized qualitative games,
Cournot-Nash equilibrium

Article copyright:
© Copyright 1987
American Mathematical Society