Discrete hotelling pure location games: potentials and equilibria

We study two-player one-dimensional discrete Hotelling pure location games assuming that demand f(d) as a function of distance d is constant or strictly decreasing. We show that this game admits a best-response potential. This result holds in particular for f(d) = wd with 0 < w ≤ 1. For this case...

Full description

Bibliographic Details
Main Authors: Iimura Takuya, von Mouche Pierre
Format: Article
Language:English
Published: EDP Sciences 2021-08-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://www.esaim-proc.org/articles/proc/pdf/2021/02/proc2107115.pdf