A note on the equilibrium existence problem in discontinuous games

Idione Soza () and Paulo Barelli
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Idione Soza: School of Economics, The University of Queensland

No 467, Discussion Papers Series from University of Queensland, School of Economics

Abstract: In this note we prove an equilibrium existence theorem for games with discontinuous pay- offs and convex and compact strategy spaces. It generalizes the classical result of Reny (1999) [Econometrica 67, p. 1029-1056], as well as the recent paper of McLennan, Monteiro, and Tourky (2011) [Econometrica 79, p. 1643-1664]. Our condition is simple and easy to verify. Importantly, an example of a spatial location model shows that our conditions allow for eco- nomically meaningful payoff discontinuities, that are not covered by other conditions in the literature.

Date: 2012
New Economics Papers: this item is included in nep-gth and nep-mic
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: A Note on the Equilibrium Existence Problem in Discontinuous Games (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:qld:uq2004:467

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