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) = wd with 0 < w ≤ 1. For this case...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2021-08-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2021/02/proc2107115.pdf |
| _version_ | 1797970685213016064 |
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| author | Iimura Takuya von Mouche Pierre |
| author_facet | Iimura Takuya von Mouche Pierre |
| author_sort | Iimura Takuya |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T03:19:53Z |
| format | Article |
| id | doaj.art-ed7c6c316f854eeba3b48d47b1b4de82 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T03:19:53Z |
| publishDate | 2021-08-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-ed7c6c316f854eeba3b48d47b1b4de822023-01-02T09:20:01ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592021-08-017116317410.1051/proc/202171163proc2107115Discrete hotelling pure location games: potentials and equilibriaIimura Takuya0von Mouche Pierre1Tokyo Metropolitan UniversityWageningen UniversityWe 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.https://www.esaim-proc.org/articles/proc/pdf/2021/02/proc2107115.pdf |
| spellingShingle | Iimura Takuya von Mouche Pierre Discrete hotelling pure location games: potentials and equilibria ESAIM: Proceedings and Surveys |
| title | Discrete hotelling pure location games: potentials and equilibria |
| title_full | Discrete hotelling pure location games: potentials and equilibria |
| title_fullStr | Discrete hotelling pure location games: potentials and equilibria |
| title_full_unstemmed | Discrete hotelling pure location games: potentials and equilibria |
| title_short | Discrete hotelling pure location games: potentials and equilibria |
| title_sort | discrete hotelling pure location games potentials and equilibria |
| url | https://www.esaim-proc.org/articles/proc/pdf/2021/02/proc2107115.pdf |
| work_keys_str_mv | AT iimuratakuya discretehotellingpurelocationgamespotentialsandequilibria AT vonmouchepierre discretehotellingpurelocationgamespotentialsandequilibria |