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Browsing by Subject "voting location"

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    Item type:Article, Access status: Open Access ,
    Competitive location under proportional choice: 1-suboptimal points on networks
    (2012) Kress, Dominik; Pesch, Erwin
    This paper is concerned with a competitive or voting location problem on networks under a proportional choice rule that has previously been introduced by Bauer et al. (1993). We refine a discretization result of the authors by proving convexity and concavity properties of related expected payoff functions. Furthermore, we answer the long time open question whether 1-suboptimal points are always vertices by providing a counterexample on a tree network.