General distribution of consumers in pure Hotelling games - Archive ouverte HAL Access content directly
Journal Articles International Journal of Game Theory Year : 2019

General distribution of consumers in pure Hotelling games

(1)
1
Gaëtan Fournier
  • Function : Author
  • PersonId : 955636

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.

Dates and versions

hal-01994400 , version 1 (25-01-2019)

Identifiers

Cite

Gaëtan Fournier. General distribution of consumers in pure Hotelling games. International Journal of Game Theory, 2019, 48 (1), pp.33-59. ⟨10.1007/s00182-018-0648-4⟩. ⟨hal-01994400⟩
18 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More