Open AccessExistence of pure equilibria in games with nonatomic space of players
Author(s) -
Agnieszka WiszniewskaMatyszkiel
Publication year - 2000
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2000.044
Subject(s) - mathematics , simple (philosophy) , mathematical economics , space (punctuation) , stochastic game , nash equilibrium , measure (data warehouse) , pure mathematics , computer science , philosophy , epistemology , database , operating system
In this paper known results on the existence of pure Nash equilibria ingames with nonatomic measure space of players are generalized and also asimple proof is offered. The relaxed assumptions include metrizability ofthe space of actions, measurability of payoff functions and availablestrategy correspondences.
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