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Cournot Competition on a Network of Markets and Firms
Rahmi Ilkilic, University of Maastricht
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.
SUGGESTED CITATION: Rahmi Ilkilic,
"Cournot Competition on a Network of Markets and Firms"
(June 22, 2009).
Fondazione Eni Enrico Mattei Working Papers.
Working Paper 293.
http://www.bepress.com/feem/paper293
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