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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.

Suggested Citation

  • Delgado, Juan & Moreno, Diego, 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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    Cited by:

    1. 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.
    2. 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.
    3. F. Delbono & L. Lambertini, 2015. "Cournot Retrouv under Price or Supply Function Competition," Working Papers wp1003, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. 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.
    5. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
    6. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    7. Cabolis, C. & Manasakis, C. & Moreno, Diego & Petrakis, Emmanuel, 2016. "R&D investments fostering horizontal mergers," UC3M Working papers. Economics 23280, Universidad Carlos III de Madrid. Departamento de Economía.
    8. 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.
    9. Ismail Saglam, 2018. "The desirability of the supply function competition under demand uncertainty," Economics Bulletin, AccessEcon, vol. 38(1), pages 541-549.
    10. 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.
    11. David M. Newbery & Thomas Greve, 2015. "The robustness of industrial commodity oligopoly pricing strategies," Working Papers EPRG 1522, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    12. F. Delbono & L. Lambertini, 2015. "Investigating the Strategic Nature of Supply Functions in Oligopoly," Working Papers wp1011, Dipartimento Scienze Economiche, Universita' di Bologna.
    13. Newbery, David M. & Greve, Thomas, 2017. "The strategic robustness of oligopoly electricity market models," Energy Economics, Elsevier, vol. 68(C), pages 124-132.
    14. 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.
    15. Lemus, Ana B. & Moreno, Diego, 2020. "Strategic incentives for keeping one set of books under the Arm’s Length Principle," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 78-90.
    16. 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.
    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. 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.
    19. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    20. Michał Król, 2017. "On the equivalence of quantity competition and supply function competition with sunk costs," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 475-486, May.
    21. Michal Król, 2012. "‘Everything must go!’- Cournot as a Stable Convention within Strategic Supply Function Competition," Economics Discussion Paper Series 1217, Economics, The University of Manchester.
    22. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    23. Juan Aparicio & Juan Ferrando & Ana Meca & Julia Sancho, 2008. "Strategic bidding in continuous electricity auctions: an application to the Spanish electricity market," Annals of Operations Research, Springer, vol. 158(1), pages 229-241, February.
    24. 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.
    25. Cabolis, C. & Manasakis, C. & Moreno, D. & Petrakis, E., 2021. "The interactions of R&D investments and horizontal mergers," Journal of Economic Behavior & Organization, Elsevier, vol. 187(C), pages 507-534.

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    Cournot;

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