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Abstract We introduce a new complete metric space of discontinuous normal form games and prove that the Nash equilibrium correspondence is upper semicontinuous with non-empty and compact values. So, using… Click to show full abstract
Abstract We introduce a new complete metric space of discontinuous normal form games and prove that the Nash equilibrium correspondence is upper semicontinuous with non-empty and compact values. So, using the Theorem of Fort (1949), we obtain that the correspondence is also lower semicontinuous in a dense subset. We introduce new topological assumptions on the payoff functions and a strengthening of standard quasi-concavity properties. Examples show that our results cannot be obtained from the previous ones.
Keywords:
equilibrium correspondence;
continuity properties;
properties nash;
correspondence;
nash equilibrium
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!