Discrete hotelling pure location games: potentials and equilibria

Takuya Iimura, P.H.M. van Mouche

Research output: Chapter in Book/Report/Conference proceedingConference paperAcademicpeer-review


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 special attention will be given to the structure of the equilibrium set and a conjecture about the increasingness of best-response correspondences will be made.
Original languageEnglish
Title of host publicationESAIM: Proceedings and Surveys
EditorsD. Chafaï, P. Lafitte, T. Lelièvre
PublisherEDP Sciences
Number of pages12
Publication statusPublished - 1 Sept 2021

Publication series

NameESAIM: Proceedings and Surveys
ISSN (Electronic)2267-3059


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