Review of Economic Studies Vol. 54 No. 4 1987
Games with Discontinuous Payoffs
Abstract
We prove an equilibrium existence result for a class of games with an infinite number of strategies. Our theorem generalises an earlier result by Dasgupta and Maskin. We also identify conditions under which the limit of pure-strategy equilibria of a sequence of finite games is an equilibrium for the limit game. We apply this result to obtain new existence results for the multi-firm, l-dimensional version of Hotellings's location game. The techniques used suggest a technique for computing such equilibria.
- DOI
- 10.2307/2297483
- Volume
- 54
- Issue
- 4
- Pages
- 569
- Sources
- bibtex:phds-export.bib openalex crossref