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Existence of mixed strategy equilibria in a class of discontinuous games with unbounded strategy sets

Albano, G.L.; Matros, A.; (2002) Existence of mixed strategy equilibria in a class of discontinuous games with unbounded strategy sets. (ELSE Working Papers 44). ESRC Centre for Economic Learning and Social Evolution: London, UK. Green open access

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Abstract

We prove existence of mixed strategy equilibria for a class of discontinuous two-player games with non-compact strategy sets. As a corollary of our main results, we obtain a continuum of mixed strategy equilibria for the first- and second-price two-bidder auctions with toeholds. We also find Klemperer’s (2000) result about the existence of mixed strategy equilibria in the classical Bertrand duopoly.

Type: Working / discussion paper
Title: Existence of mixed strategy equilibria in a class of discontinuous games with unbounded strategy sets
Open access status: An open access version is available from UCL Discovery
Publisher version: http://else.econ.ucl.ac.uk/newweb/papers.php#2002
Language: English
Keywords: JEL classification: C72, D43, D44. Discontinuous games, Bertrand game, toehold, first- and second-price auctions
UCL classification: UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Economics
URI: https://discovery.ucl.ac.uk/id/eprint/14650
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