Discrete hotelling pure location games: potentials and equilibria

Takuya Iimura; P.H.M. van Mouche

doi:10.1051/proc/202171163

Discrete hotelling pure location games: potentials and equilibria

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Academic › peer-review

Abstract

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 language	English
Title of host publication	ESAIM: Proceedings and Surveys
Editors	D. Chafaï, P. Lafitte, T. Lelièvre
Publisher	EDP Sciences
Pages	163-174
Number of pages	12
Volume	71
DOIs	https://doi.org/10.1051/proc/202171163
Publication status	Published - 1 Sept 2021

Publication series

Name	ESAIM: Proceedings and Surveys
ISSN (Electronic)	2267-3059

Access to Document

10.1051/proc/202171163Licence: CC BY

https://edepot.wur.nl/563631Licence: CC BY

Cite this

@inproceedings{825b012d93bf4b8d9e58cb5995b63748,

title = "Discrete hotelling pure location games: potentials and equilibria",

abstract = "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.",

author = "Takuya Iimura and {van Mouche}, P.H.M.",

year = "2021",

month = sep,

day = "1",

doi = "10.1051/proc/202171163",

language = "English",

volume = "71",

series = "ESAIM: Proceedings and Surveys",

publisher = "EDP Sciences",

pages = "163--174",

editor = "D. Chafa{\"i} and P. Lafitte and T. Leli{\`e}vre",

booktitle = "ESAIM: Proceedings and Surveys",

}

TY - GEN

T1 - Discrete hotelling pure location games: potentials and equilibria

AU - Iimura, Takuya

AU - van Mouche, P.H.M.

PY - 2021/9/1

Y1 - 2021/9/1

N2 - 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.

AB - 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.

U2 - 10.1051/proc/202171163

DO - 10.1051/proc/202171163

M3 - Conference paper

VL - 71

T3 - ESAIM: Proceedings and Surveys

SP - 163

EP - 174

BT - ESAIM: Proceedings and Surveys

A2 - Chafaï, D.

A2 - Lafitte, P.

A2 - Lelièvre, T.

PB - EDP Sciences

ER -

Discrete hotelling pure location games: potentials and equilibria

Abstract

Publication series

Access to Document

Fingerprint

Cite this