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

Authors

  • Dominik Kress University of Siegen
  • Erwin Pesch University of Siegen

DOI:

https://doi.org/10.7494/dmms.2012.6.2.53

Keywords:

competitive location, voting location, vertex optimality, discretization, centroid problem

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.

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Published

2012-12-23

How to Cite

Kress, D., & Pesch, E. (2012). Competitive location under proportional choice: 1-suboptimal points on networks. Decision Making in Manufacturing and Services, 6(1), 53–64. https://doi.org/10.7494/dmms.2012.6.2.53

Issue

Vol. 6 (2012): No. 1-2

Section

Articles

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Licencja Creative Commons
The content of the journal is freely available according to the Creative Commons License Attribution 4.0 International (CC BY 4.0)

Received 2013-08-19
Accepted 2013-08-19
Published 2012-12-23