Discrete hotelling pure location games: potentials and equilibria

Autor: Iimura Takuya, von Mouche Pierre
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: ESAIM: Proceedings and Surveys, Vol 71, Pp 163-174 (2021)
Druh dokumentu: article
ISSN: 2267-3059
DOI: 10.1051/proc/202171163
Popis: 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.
Databáze: Directory of Open Access Journals