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Allaz-Vila competition with non-linear costs or demands

  • Breitmoser, Yves

If Cournot oligopolists may sell their output prior to its production (forward trading), competition intensifies. Potentially, it may intensify so far as to imply convergence to the Bertrand equilibrium, as shown by Allaz and Vila (1993) for the case of linear demand and costs. The present paper analyzes the limiting outcome if demand or costs are non-linear, which still are open problems. Specifically, I consider a general family of convex demands and increasing marginal costs. In both cases, the limiting outcomes are strictly between Cournot and Bertrand. This shows that competitive futures markets improve welfare (upon Cournot) also for non-linear costs or demands, but they do generally not imply social efficiency.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41772.

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Date of creation: 06 Oct 2012
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Handle: RePEc:pra:mprapa:41772
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  1. Anderson, Edward J. & Hu, Xinmin, 2008. "Forward contracts and market power in an electricity market," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 679-694, May.
  2. Matti Liski & Juan-Pablo Montero, 2005. "Forward trading and collusion in oligopoly," Working Papers 0506, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
  3. Breitmoser, Yves, 2012. "On the endogeneity of Cournot, Bertrand, and Stackelberg competition in oligopolies," International Journal of Industrial Organization, Elsevier, vol. 30(1), pages 16-29.
  4. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  5. Le Coq, Chloé & Orzen, Henrik, 2002. "Do Forward Markets Enhance Competition? Experimental Evidence," SSE/EFI Working Paper Series in Economics and Finance 506, Stockholm School of Economics, revised 01 Oct 2004.
  6. Powell, Andrew, 1993. "Trading Forward in an Imperfect Market: The Case of Electricity in Britain," Economic Journal, Royal Economic Society, vol. 103(417), pages 444-53, March.
  7. Bushnell, James, 2007. "Oligopoly Equilibria in Electricity Contract Markets," Staff General Research Papers 13135, Iowa State University, Department of Economics.
  8. Allaz, Blaise, 1992. "Oligopoly, uncertainty and strategic forward transactions," International Journal of Industrial Organization, Elsevier, vol. 10(2), pages 297-308, June.
  9. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-22, July.
  10. Jordi Brandts & Paul Pezanis-Christou & Arthur Schram, 2008. "Competition with forward contracts: a laboratory analysis motivated by electricity market design," Economic Journal, Royal Economic Society, vol. 118(525), pages 192-214, 01.
  11. Ferreira, Jose Luis, 2003. "Strategic interaction between futures and spot markets," Journal of Economic Theory, Elsevier, vol. 108(1), pages 141-151, January.
  12. Thille, Henry, 2003. "Forward trading and storage in a Cournot duopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 651-665, February.
  13. José Luis Ferreira & Praveen Kujal & Stephen Rassenti, 2009. "The strategic motive to sell forward: experimental evidence," Economics Working Papers we092616, Universidad Carlos III, Departamento de Economía.
  14. Hughes, John S. & Kao, Jennifer L., 1997. "Strategic forward contracting and observability," International Journal of Industrial Organization, Elsevier, vol. 16(1), pages 121-133, November.
  15. Mahenc, P. & Salanie, F., 2004. "Softening competition through forward trading," Journal of Economic Theory, Elsevier, vol. 116(2), pages 282-293, June.
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