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Nash equilibria in Voronoi games on graphs

Clinical Orthopaedics and Related Research, (2007): 17-28

Cited by: 74|Views111
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Abstract

In this paper we study a game where every player is to choose a vertex (facility) in a given undirected graph. All vertices (customers) are then assigned to closest facilities and a player's payoff is the number of customers assigned to it. We show that deciding the existence of a Nash equilibrium for a given graph is NP-hard. We also int...More

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Nguyen Kim Thang
Nguyen Kim Thang
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