Type of Publication: Article in Journal

Competitive Location under Proportional Choice: 1- Suboptimal Points on Networks.

Author(s):

Kress, D.; Pesch, E.

Title of Journal:

Decision Making in Manufacturing and Services

Volume (Publication Date):

6 (2012)

Number of Issue:

2

pages:

53-64

Language:

Englisch

Keywords:

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

Digital Object Identifier (DOI):

doi:10.7494/dmms.2012.6.2.53

Citation:

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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.