### Abstract

The Hotelling pure location game has been revisited. It is assumed that there are two identical players, strategy sets are one-dimensional, and demand as a function of distance is constant or strictly decreasing. Besides qualitative properties of conditional payoff functions, attention is given to the structure of the equilibrium set, best-response correspondences and the existence of potentials.

Original language | English |
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Title of host publication | Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings |

Editors | Alexander Kononov, Michael Khachay, Valery A. Kalyagin, Panos Pardalos |

Publisher | Springer |

Pages | 246-262 |

Number of pages | 17 |

ISBN (Print) | 9783030499877 |

DOIs | |

Publication status | Published - 29 Jun 2020 |

Event | 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020 - Novosibirsk, Russian Federation Duration: 6 Jul 2020 → 10 Jul 2020 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 12095 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020 |
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Country | Russian Federation |

City | Novosibirsk |

Period | 6/07/20 → 10/07/20 |

### Keywords

- Hotelling game
- Potential game
- Principle of Minimum Differentiation
- Pure Nash equilibrium existence

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## Cite this

von Mouche, P. (2020). The Continuous Hotelling Pure Location Game with Elastic Demand Revisited. In A. Kononov, M. Khachay, V. A. Kalyagin, & P. Pardalos (Eds.),

*Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings*(pp. 246-262). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12095 LNCS). Springer. https://doi.org/10.1007/978-3-030-49988-4_17