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Cournot Competition on a Network of Markets and Firms

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  • Rahmi Ilkiliç

    (Maastricht University)

Abstract

Suppose markets and firms are connected in a bi-partite network, where firms can only supply to the markets they are connected to. Firms compete a la Cournot and decide how much to supply to each market they have a link with. We assume that markets have linear demand functions and firms have convex quadratic cost functions. We show there exists a unique equilibrium in any given network of firms and markets. We provide a formula which expresses the quantities at an equilibrium as a function of a network centrality measure.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.32.

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Date of creation: May 2009
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Handle: RePEc:fem:femwpa:2009.32

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Keywords: Cournot Markets; Networks; Nash Equilibrium; Centrality Measures;

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  1. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, Springer, vol. 18(1), pages 39-43, March.
  2. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 93(3), pages 488-511, June.
  3. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, Elsevier, vol. 115(1), pages 35-77, March.
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