Essential equilibria of discontinuous games

Vincenzo Scalzo ()

Economic Theory, 2013, vol. 54, issue 1, 27-44

Abstract: We introduce spaces of discontinuous games in which games having essential Nash equilibria are the generic case. In order to prove the existence of essential Nash equilibria in such spaces, we provide new results on the Ky Fan minimax inequality. In the setting of potential games, we show that games with essential Nash equilibria are the generic case when their potentials satisfy a condition called weak upper pseudocontinuity that is weaker than upper semicontinuity. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Discontinuous strategic form games; Potential games; Essential Nash equilibria; Ky Fan minimax inequality; C72 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s00199-012-0726-y

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