General distribution of consumers in pure Hotelling games

Gaëtan Fournier

International Journal of Game Theory, 2019, vol. 48, issue 1, No 2, 33-59

Abstract: Abstract A pure Hotelling game is a spatial competition between a finite number of players who simultaneously select 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. If the number of sellers is large enough, we prove the existence of an approximate equilibrium in pure strategies, and we construct it.

Keywords: Approximate Nash equilibria; Pure equilibria; Location games on networks; Hotelling games; Large games (search for similar items in EconPapers)
JEL-codes: C72 D43 R30 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00182-018-0648-4

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