Geodesic
Discrete hotelling pure location games: potentials and equilibria
Takuya Iimura1 ; Pierre von Mouche2
1Tokyo Metropolitan University, Tokyo, Japan
2Wageningen University, Wageningen, The Netherlands
ESAIM. Proceedings, Tome 71 (2021), pp. 163-174
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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.
DOI : 10.1051/proc/202171163

Takuya Iimura  1   ; Pierre von Mouche  2

1 Tokyo Metropolitan University, Tokyo, Japan
2 Wageningen University, Wageningen, The Netherlands 
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     title = {Discrete hotelling pure location games: potentials and equilibria},
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     doi = {10.1051/proc/202171163},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202171163/}
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Takuya Iimura; Pierre von Mouche. Discrete hotelling pure location games: potentials and equilibria. ESAIM. Proceedings, Tome 71 (2021), pp. 163-174. doi: 10.1051/proc/202171163

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