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Partial Cooperation in Location Choice: Salop’s Model with Three Firms

In: Spatial Interaction Models

Author

Listed:
  • Subhadip Chakrabarti

    (Queen’s University of Belfast)

  • Robert P. Gilles

    (Queen’s University of Belfast)

Abstract

We consider how three firms compete in a Salop location model and how cooperation in location choice by two of these firms affects the outcomes. We consider the classical case of linear transportation costs as a two-stage game in which the firms select first a location on a unit circle along which consumers are dispersed evenly, followed by the competitive selection of a price. Standard analysis restricts itself to purely competitive selection of location; instead, we focus on the situation in which two firms collectively decide about location, but price their products competitively after the location choice has been effectuated. We show that such partial coordination of location is beneficial to all firms, since it reduces the number of equilibria significantly and, thereby, the resulting coordination problem. Subsequently, we show that the case of quadratic transportation costs changes the main conclusions only marginally.

Suggested Citation

  • Subhadip Chakrabarti & Robert P. Gilles, 2017. "Partial Cooperation in Location Choice: Salop’s Model with Three Firms," Springer Optimization and Its Applications, in: Lina Mallozzi & Egidio D'Amato & Panos M. Pardalos (ed.), Spatial Interaction Models, pages 21-38, Springer.
  • Handle: RePEc:spr:spochp:978-3-319-52654-6_2
    DOI: 10.1007/978-3-319-52654-6_2
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    Cited by:

    1. Carlos Hernán González-Campo & Vanessa Zamora Mina, 2020. "Comportamiento de los agentes en el comercio electrónico según modelos de localización," Revista Facultad de Ciencias Económicas, Universidad Militar Nueva Granada, vol. 28(1), pages 47-65, June.

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