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District formation: a co-opetition approach

Author

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  • SOUBEYRAN, Antoine
  • WEBER, Shlomo

Abstract

This paper considers a model of district formation that incorporates a notion of regional industrial systems. Each firm chooses its location from the set of existing industrial districts. The heterogeneous firms are distinguished by its "stand alone" district-dependent production and transportation cost. However, if other firms locate in the same district, the firm's stand alone cost is reduced by a factor that depends on the number of firms in the district. Thus, firms must take into account the reciprocal nature of cost-reduction as by joining a district, they engage in tacit cooperation: the firms reduce their own costs but in the same time reduce the costs of their rivals. We show that under quite general assumptions this co-opetition game that contains the elements of competition and cooperation, yields a subgame perfect equilibrium for any number of firms and districts. We characterize both "agglomeration" equilibria, where all firms locate in the same district, and "dispersed" equilibria, where firms locate in different districts. We show that a dispersed equilibrium can emerge only if firms' and districts' characteristics possess a sufficient degree of heterogeneity.

Suggested Citation

  • SOUBEYRAN, Antoine & WEBER, Shlomo, 2001. "District formation: a co-opetition approach," CORE Discussion Papers 2001016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2001016
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-2001.html
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    References listed on IDEAS

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    1. Soubeyran, Antoine & Thisse, Jacques-Francois, 1999. "Learning-by-Doing and the Development of Industrial Districts," Journal of Urban Economics, Elsevier, pages 156-176.
    2. Van Long, N. & Soubeyran, A., 1997. "Cost Manipulation in an Asymmetric Oligopoly: The Taxation Problem," ASSET - Instituto De Economia Publica 173, ASSET (Association of Southern European Economic Theorists).
    3. Long, Ngo Van & Soubeyran, Antoine, 2001. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 505-533, May.
    4. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    5. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
    6. Belleflamme, Paul & Picard, Pierre & Thisse, Jacques-Francois, 2000. "An Economic Theory of Regional Clusters," Journal of Urban Economics, Elsevier, vol. 48(1), pages 158-184, July.
    7. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
    8. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
    9. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    10. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    11. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
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    More about this item

    Keywords

    industrial districts; cost reduction factor; agglomeration and dispersed equilibria;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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