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Cournot Equilibrium at the Limit

Author

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  • Vijay Adithya C

    ((Corresponding author), Madras School of Economics, Gandhi Mandapam Road, Behind Government Data Centre, Kotturpuram, Chennai, 600025, India.)

  • Poornapushkala Narayanan

    (Madras School of Economics, Chennai, Tamil Nadu, India, 600025)

Abstract

This paper studies a Cournot market with infinitely many firms facing constant but heterogeneous marginal costs, without assuming perfect competition. We determine a necessary and sufficient condition for the existence of equilibrium - the marginal costs converge to a limit r with summable deviations. We deduce from this condition that perfect competition is not automatic in such markets, but competitive behavior emerges asymptotically under certain conditions on the costs. We also consider a family of finite markets growing to the infinite limit market. We show that the equilibria of finite markets converge to that of the limit market if and only if the average marginal costs of the finite markets converge to r.

Suggested Citation

  • Vijay Adithya C & Poornapushkala Narayanan, 2025. "Cournot Equilibrium at the Limit," Working Papers 2025-290, Madras School of Economics,Chennai,India.
  • Handle: RePEc:mad:wpaper:2025-290
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