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Coalition-proof Bertrand equilibria
Authors:Prabal?Roy?Chowdhury  author-information"  >  author-information__contact u-icon-before"  >  mailto:prabalrc@hotmail.com"   title="  prabalrc@hotmail.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Kunal?Sengupta
Affiliation:(1) Planning Unit, Indian Statistical Institute, Delhi Centre, 7S.J.S.S. Marg, 110016 New Delhi, India;(2) School of Political Science and Economics, University of Sydney, NSW 2006 Sydney, Australia
Abstract:Summary. This paper examines the coalition-proof Nash equilibria of a Bertrand model of price competition where firms supply all demand. When firms are asymmetric we prove existence and provide a sufficient condition for uniqueness. For symmetric firms, we show that an equilibrium is necessarily unique. We also examine whether this unique equilibrium outcome is implementable through a sequential move game where the firms take turns at announcing prices. Finally we examine the limiting property of such equilibria as the number of firms go to infinity.Received: 20 March 2002, Revised: 5 August 2003JEL Classification Numbers: D43, D41, L13.Correspondence to: Kunal SenguptaWe are deeply indebted to an anonymous referee for very helpful and incisive comments that led to substantial improvements in the paper. We also gratefully acknowledge the hospitality of the Department of Finance, Hong Kong University of Science and Technology where much of the work on this paper was carried out.
Keywords:Bertrand oligopoly  Coalition-proof Nash equilibrium  Implementation  Folk theorem
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