General Distribution of Consumers in Pure Hotelling Games

Seminar

BIU Game and Economic Theory Seminar 2015-2016

Speaker

Gaëtan Fournier

Date

01/03/2016 - 12:30 - 11:00Add To Calendar 2016-03-01 11:00:00 2016-03-01 12:30:00 General Distribution of Consumers in Pure Hotelling Games Abstract:A pure Hotelling game is a competition between a finite number of players who select simultaneously a location in order to attract as many consumers as possible. In this paper, we study the case of a general distribution of consumers on a network generated by a metric graph. Because players do not compete on price, the continuum of consumers shop at the closest player’s location. Under regularity hypothesis on the distribution we prove the existence of an ϵ-equilibrium in pure strategies and we construct it, provided that the number of players is larger than a lower bound. Download Economics building (No. 504), room 011 אוניברסיטת בר-אילן - Department of Economics Economics.Dept@mail.biu.ac.il Asia/Jerusalem public

Place

Economics building (No. 504), room 011

Affiliation

Tel Aviv University

Abstract

Abstract:A pure Hotelling game is a competition between a finite number of players who select simultaneously a location in order to attract as many consumers as possible. In this paper, we study the case of a general distribution of consumers on a network generated by a metric graph. Because players do not compete on price, the continuum of consumers shop at the closest player’s location. Under regularity hypothesis on the distribution we prove the existence of an ϵ-equilibrium in pure strategies and we construct it, provided that the number of players is larger than a lower bound.

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