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Pure Spatial Competition among Firms with more than one Facility

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Operations Research ’92

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Abstract

Since Rotelling’s (1929) famous paper about the competition between two firms on a linear market with equal amount of demand on every point of the line, (where its single Nash equilibrium is given in locating both firms at the midpoint of the line), the model of pure spatial competition has been extended and modificated in many different ways. The main contributions in context to this paper since Rotelling are the following two: Selten (1971) had given the necessary and sufficient conditions for Nash equilibria in the standard Rotelling model extended to n firms. Eaton and Lipsey (1975) had further extended the model to various amounts of demand on the line (beside other variations). In this paper the pure spatial competion model will be analysed for a given number of firms, which each have to locate a given (individual different) number of facilities on the linear market.

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References

  • Behnke, H. (1990): “Gleichgewicht im Wettbewerb durch Standortwahl auf StraBennetzen”, Doctoral Dissertation at: Universitat der Freien und Hansestadt Hamburg

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  • Eaton, B.C. / Lipsey, R.G. (1975): “The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition”, Review of Economic Studies 42, 27–49

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  • Hotelling, H. (1929): “Stability in Competition”, Economic Journal 39, 41–57

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  • Selten, R. (1971): “Anwendungen der Spieltheorie auf die politische Wissenschaft”, in: Maier, H. / Ritter, K. / Matz, U. (Ed.): Politik und Wissenschaft, München, 287–320.

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Author information

Authors and Affiliations

  1. Sozialökonomisches Seminar, Universität der Freien und Hansestadt Hamburg, Von-Melle-Park 5, 2000, Hamburg 13, Germany

    Horst Behnke

Authors
  1. Horst Behnke
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Editor information

Editors and Affiliations

  1. Sozialökonomisches Seminar, Universität Hamburg, Von-Melle-Park 5, D-2000, Hamburg 13, FRG

    Alexander Karmann

  2. Institut für Statistik und Quantitative Ökonomik, Universität Bundeswehr Hamburg, Holstenhofweg 85, D-2000, Hamburg 70, FRG

    Karl Mosler  & Götz Uebe  & 

  3. Lehrstuhl für Wirtschaftsinformatik III, Universität Mannheim, Schloß, D-6800, Mannheim, FRG

    Martin Schader

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© 1993 Springer-Verlag Berlin Heidelberg

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Behnke, H. (1993). Pure Spatial Competition among Firms with more than one Facility. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_110

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  • DOI: https://doi.org/10.1007/978-3-662-12629-5_110

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0679-3

  • Online ISBN: 978-3-662-12629-5

  • eBook Packages: Springer Book Archive

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