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Nash equilibria in N-person games without convexity

✍ Scribed by Jen-Chih Yao


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
219 KB
Volume
5
Category
Article
ISSN
0893-9659

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✦ Synopsis


h this note, an extended version of the Zhou and Chen minimax inequaiity is obtained for reflexive Banach spaces. An application of the result to the existence of Nash equilibrium points without assuming that cost functions are convex is given.


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## Abstract We define a new concept of constrained strategic equilibrium (CSE) for Bayesian games. We show that a sequence of CSEs approximates an equilibrium under standard conditions. We also provide an algorithm to implement the CSE approximation method numerically in a broad class of Bayesian g