Abstract
The discrete Voronoi game in R consists of two competing players P1 and P2 and a set of N users placed on a line-segment. The players alternately place one facility each on the line-segment for R-rounds, where the objective is to maximize their own total payoffs. We prove bounds on the worst-case (over the arrangement of the N users) payoffs of the two players, and discuss algorithms for finding the optimal strategies of the players in the 2-round game.
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