IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v114y2004i2p231-254.html
   My bibliography  Save this article

Coalition-proof supply function equilibria in oligopoly

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(03)00123-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    3. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-1172, September.
    4. 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.
    5. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    6. Green, Richard J & Newbery, David M, 1992. "Competition in the British Electricity Spot Market," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 929-953, October.
    7. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    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.
    9. Yi, Sang-Seung, 1999. "On the Coalition-Proofness of the Pareto Frontier of the Set of Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 26(2), pages 353-364, January.
    10. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Ismail Saglam, 2018. "The desirability of the supply function competition under demand uncertainty," Economics Bulletin, AccessEcon, vol. 38(1), pages 541-549.
    3. Newbery, David M. & Greve, Thomas, 2017. "The strategic robustness of oligopoly electricity market models," Energy Economics, Elsevier, vol. 68(C), pages 124-132.
    4. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
    5. 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.
    6. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    7. 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.
    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. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Saglam, Ismail, 2017. "A Note on the Desirability of the Supply Function Competition with Demand Uncertainty," MPRA Paper 82995, University Library of Munich, Germany.
    15. 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.
    16. 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.
    17. F. Delbono & L. Lambertini, 2015. "Investigating the Strategic Nature of Supply Functions in Oligopoly," Working Papers wp1011, Dipartimento Scienze Economiche, Universita' di Bologna.
    18. 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.
    19. 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.
    20. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    21. 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.
    22. 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.
    23. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    24. F. Delbono & L. Lambertini, 2015. "Cournot Retrouvé under Price or Supply Function Competition," Working Papers wp1003, Dipartimento Scienze Economiche, Universita' di Bologna.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Newbery, David M. & Greve, Thomas, 2017. "The strategic robustness of oligopoly electricity market models," Energy Economics, Elsevier, vol. 68(C), pages 124-132.
    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. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    7. Luca Lambertini, 2000. "Strategic Delegation and the Shape of Market Competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 550-570, November.
    8. Holmberg, Pär & Willems, Bert, 2015. "Relaxing competition through speculation: Committing to a negative supply slope," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 236-266.
    9. Ismail Saglam, 2020. "Bargaining over collusion: the threat of supply function versus Cournot competition under demand uncertainty and cost asymmetry," The Japanese Economic Review, Springer, vol. 71(4), pages 671-693, October.
    10. Flavio M. Menezes & John Quiggin, 2023. "Competition in supply functions and conjectural variations: a unified solution," Australian Institute for Business and Economics DP012023, School of Economics, University of Queensland, Australia.
    11. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    12. Ismail Saglam, 2023. "Licensing cost‐reducing innovations under supply function competition," Bulletin of Economic Research, Wiley Blackwell, vol. 75(1), pages 180-201, January.
    13. Saglam, Ismail, 2022. "Pretend-But-Perform Regulation of a Duopoly under Three Competition Modes," MPRA Paper 116767, University Library of Munich, Germany.
    14. Severin Borenstein & James. Bushnell & Steven Stoft, 2000. "The Competitive Effects of Transmission Capacity in A Deregulated Electricity Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(2), pages 294-325, Summer.
    15. Heller, Yuval, 2010. "Minority-proof cheap-talk protocol," Games and Economic Behavior, Elsevier, vol. 69(2), pages 394-400, July.
    16. Bulut, Harun & Koray, Semih, 2008. "Competition and Regulation via Supply and Demand Functions in Oligopolistic-Oligopsonistic Markets," Working Papers 6136, Iowa State University, Department of Economics.
    17. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.
    18. Arie ten Cate & Mark Lijesen, 2004. "The Elmar model: output and capacity in imperfectly competitive electricity markets," CPB Memorandum 94.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    19. Boom, Anette, 2009. "Vertically integrated firms' investments in electricity generating capacities," International Journal of Industrial Organization, Elsevier, vol. 27(4), pages 544-551, July.
    20. Ramesh Johari & John N. Tsitsiklis, 2011. "Parameterized Supply Function Bidding: Equilibrium and Efficiency," Operations Research, INFORMS, vol. 59(5), pages 1079-1089, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:114:y:2004:i:2:p:231-254. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.