Art der Publikation: Beitrag in Zeitschrift

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

Autor(en):

Kress, D.; Pesch, E.

Titel der Zeitschrift:

Decision Making in Manufacturing and Services

Jahrgang (Veröffentlichung):

6 (2012)

Heftnummer:

2

Seiten:

53-64

Sprache:

Englisch

Schlagworte:

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

Digital Object Identifier (DOI):

doi:10.7494/dmms.2012.6.2.53

Zitation:

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Kurzfassung

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.