Competitive location under proportional choice: 1-suboptimal points on networks

Journal Title: Decision Making in Manufacturing and Services - Year 2012, Vol 6, Issue 1

Abstract

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.

Authors and Affiliations

Erwin Pesch, Dominik Kress

Keywords

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  • EP ID EP166169
  • DOI 10.7494/dmms.2012.6.2.5
  • Views 74
  • Downloads 0

How To Cite

Erwin Pesch, Dominik Kress (2012). Competitive location under proportional choice: 1-suboptimal points on networks. Decision Making in Manufacturing and Services, 6(1), 53-64. https://europub.co.uk/articles/-A-166169