A Note on the Equilibrium Existence Problem in Discontinuous Games

Date

2013

Authors

Barelli, Paulo
Meneghel, Idione

Journal Title

Journal ISSN

Volume Title

Publisher

Blackwell Publishing Ltd

Abstract

In this note, we prove an equilibrium existence theorem for games with discontinuous payoffs and convex and compact strategy spaces. It generalizes the classical result of Reny (1999), as well as the recent paper of McLennan, Monteiro, and Tourky (2011). Our conditions are simple and easy to verify. Importantly, examples of spatial location models show that our conditions allow for economically meaningful payoff discontinuities, that are not covered by other conditions in the literature.

Description

Keywords

Keywords: Better reply security; Discontinuous payoffs; Location games; Nash equilibrium

Citation

Source

Econometrica

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.3982/ECTA9125

Restricted until

2037-12-31