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Coalition-proof supply function equilibria in oligopoly

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  • Delgado, Juan
  • Moreno, Diego

Abstract

In an industry where firms compete via supply functions the set of market outcomes that can arise is large. If decreasing supply functions are ruled out, the set of equilibrium outcomes reduces somewhat, but it remains large: any price between the competitive price and the Cournot price can be sustained by a supply function equilibrium. In sharp contrast, this multiplicity disappears when firms take into account the gains they can attain by coordinating their actions: if the number of firms is above a threshold we identify (e.g., three if demand is linear), then the Cournot equilibrium is the unique outcome that can be sustained by a coalition-proof supply function equilibrium.
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  • Delgado, Juan & Moreno, Diego, 2004. "Coalition-proof supply function equilibria in oligopoly," Journal of Economic Theory, Elsevier, vol. 114(2), pages 231-254, February.
  • Handle: RePEc:eee:jetheo:v:114:y:2004:i:2:p:231-254
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    1. Rabah Amir & Val E. Lambson, 2000. "On the Effects of Entry in Cournot Markets," Review of Economic Studies, Oxford University Press, vol. 67(2), pages 235-254.
    2. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
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    6. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    7. 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.
    8. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
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    Cited by:

    1. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
    2. Petrakis, Emmanuel & Moreno Ruiz, Diego & Cabolis, C. & Manasakis, C., 2016. "R&D investments fostering horizontal mergers," UC3M Working papers. Economics 23280, Universidad Carlos III de Madrid. Departamento de Economía.
    3. Willems, Bert & Rumiantseva, Ina & Weigt, Hannes, 2009. "Cournot versus Supply Functions: What does the data tell us?," Energy Economics, Elsevier, vol. 31(1), pages 38-47, January.
    4. F. Delbono & L. Lambertini, 2015. "Investigating the Strategic Nature of Supply Functions in Oligopoly," Working Papers wp1011, Dipartimento Scienze Economiche, Universita' di Bologna.
    5. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2009. "Price-quantity competition with varying toughness," Games and Economic Behavior, Elsevier, vol. 65(1), pages 62-82, January.
    6. repec:eee:eneeco:v:68:y:2017:i:c:p:124-132 is not listed on IDEAS
    7. Moreno, Diego, 1999. "Competencia vía funciones de oferta en el mercado español de producción de energía eléctrica," DE - Documentos de Trabajo. Economía. DE 3893, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Saglam, Ismail, 2017. "A Note on the Desirability of the Supply Function Competition with Demand Uncertainty," MPRA Paper 82995, University Library of Munich, Germany.
    9. Juan Delgado, 2006. "Coalition-proof supply function equilibria under capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 219-229, September.
    10. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    11. Michal Król, 2012. "‘Everything must go!’- Cournot as a Stable Convention within Strategic Supply Function Competition," The School of Economics Discussion Paper Series 1217, Economics, The University of Manchester.
    12. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    13. Moreno, Diego, 1999. "Relaciones de propiedad cruzadas en mercados oligopolísticos," DE - Documentos de Trabajo. Economía. DE 3894, Universidad Carlos III de Madrid. Departamento de Economía.
    14. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, August.
    15. F. Delbono & L. Lambertini, 2015. "Cournot Retrouvé under Price or Supply Function Competition," Working Papers wp1003, Dipartimento Scienze Economiche, Universita' di Bologna.
    16. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    17. Genc, Talat S. & Reynolds, Stanley S., 2011. "Supply function equilibria with capacity constraints and pivotal suppliers," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 432-442, July.
    18. David M. Newbery & Thomas P. Greve, 2015. "The robustness of industrial commodity oligopoly pricing strategies," Cambridge Working Papers in Economics 1540, Faculty of Economics, University of Cambridge.
    19. Moreno, Diego & Ubeda, Luis, 2006. "Capacity precommitment and price competition yield the Cournot outcome," Games and Economic Behavior, Elsevier, vol. 56(2), pages 323-332, August.
    20. repec:spr:jogath:v:46:y:2017:i:2:d:10.1007_s00182-016-0542-x is not listed on IDEAS
    21. Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.

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