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• W2556193887 abstract "In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, and each client randomly picks one attractive agent for service. Two utility functions for agents are considered: support utility and winner utility. We generalize the results in [Feldman et al. 2016] to the case where the clients are distributed arbitrarily. In the support utility setting, we show that a pure Nash equilibrium always exists by formulating the game as a potential game. In the winner utility setting, we show that there exists a Nash equilibrium in two cases: when there are at most 3 agents and when the size of attraction area is at least half of the entire space. We also consider the price of anarchy and the fairness of equilibria under certain conditions." @default.
• W2556193887 created "2016-11-30" @default.
• W2556193887 creator A5059901703 @default.
• W2556193887 creator A5064179488 @default.
• W2556193887 date "2017-05-08" @default.
• W2556193887 modified "2023-09-27" @default.
• W2556193887 title "Hotelling-Downs Model with Limited Attraction" @default.
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• W2556193887 doi "https://doi.org/10.5555/3091125.3091220" @default.
• W2556193887 hasPublicationYear "2017" @default.
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