Title
Hotelling-Downs Model with Limited Attraction.
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.
Year
DOI
Venue
2017
10.5555/3091125.3091220
AAMAS
DocType
Volume
Citations 
Conference
abs/1611.05959
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Weiran Shen158.25
Zihe Wang2173.72