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 ) = w d with 0 < w ≤ 1. For th...
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| Vydané v: | ESAIM. Proceedings and surveys Ročník 71; s. 163 - 174 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Les Ulis
EDP Sciences
01.08.2021
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| ISSN: | 2267-3059, 2267-3059 |
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| 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
) =
w
d
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.
Nous étudions les jeux de localisation pure Hotelling discrets unidimensionnels à deux joueurs en supposant que la demande
f
(
d
) en fonction de la distance
d
est constante ou strictement décroissante. Nous montrons que ce jeu admet un potentiel de meilleure réponse. Ce ŕesultat vaut notamment pour
f
(
d
) =
w
d
avec 0 <
w
≤ 1. Dans ce cas, une attention particulière sera accordée à la structure de l’ensemble d’équilibre et une conjecture sur la croissance de la correspondance de meilleure réponse sera faite. |
|---|---|
| AbstractList | 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
) =
w
d
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.
Nous étudions les jeux de localisation pure Hotelling discrets unidimensionnels à deux joueurs en supposant que la demande
f
(
d
) en fonction de la distance
d
est constante ou strictement décroissante. Nous montrons que ce jeu admet un potentiel de meilleure réponse. Ce ŕesultat vaut notamment pour
f
(
d
) =
w
d
avec 0 <
w
≤ 1. Dans ce cas, une attention particulière sera accordée à la structure de l’ensemble d’équilibre et une conjecture sur la croissance de la correspondance de meilleure réponse sera faite. 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 | Iimura, Takuya von Mouche, Pierre |
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| DOI | 10.1051/proc/202171163 |
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| Snippet | 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... 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... |
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| Title | Discrete hotelling pure location games: potentials and equilibria |
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