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- Title
Essential equilibria of discontinuous games.
- Authors
Scalzo, Vincenzo
- 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.
- Subjects
NASH equilibrium; GAME theory; MATHEMATICAL inequalities; MATHEMATICAL proofs; POTENTIAL theory (Mathematics); STRATEGIC planning; EXISTENCE theorems
- Publication
Economic Theory, 2013, Vol 54, Issue 1, p27
- ISSN
0938-2259
- Publication type
Article
- DOI
10.1007/s00199-012-0726-y