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Coalition-proof supply function equilibria in oligopoly

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  • Moreno, Diego
  • Delgado, Juan

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.

Suggested Citation

  • Moreno, Diego & Delgado, Juan, 1999. "Coalition-proof supply function equilibria in oligopoly," UC3M Working papers. Economics 6145, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:6145
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    References listed on IDEAS

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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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    8. 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.
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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. repec:ebl:ecbull:eb-18-00076 is not listed on IDEAS
    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. repec:eee:eneeco:v:68:y:2017:i:c:p:124-132 is not listed on IDEAS
    6. 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.
    7. 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.
    8. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    9. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    10. 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.
    11. 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.
    12. 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.
    13. repec:spr:jogath:v:46:y:2017:i:2:d:10.1007_s00182-016-0542-x is not listed on IDEAS
    14. 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.
    15. Petrakis, Emmanuel & Moreno Ruiz, Diego & Manasakis, C. & Cabolis, C., 2016. "R&D investments fostering horizontal mergers," UC3M Working papers. Economics 23280, Universidad Carlos III de Madrid. Departamento de Economía.
    16. 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.
    17. Saglam, Ismail, 2017. "A Note on the Desirability of the Supply Function Competition with Demand Uncertainty," MPRA Paper 82995, University Library of Munich, Germany.
    18. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    19. 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.
    20. F. Delbono & L. Lambertini, 2015. "Cournot Retrouvé under Price or Supply Function Competition," Working Papers wp1003, Dipartimento Scienze Economiche, Universita' di Bologna.
    21. 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.
    22. 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.

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    Keywords

    Cournot;

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