IDEAS home Printed from https://ideas.repec.org/a/prs/reveco/reco_0035-2764_1975_num_26_4_408221.html
   My bibliography  Save this article

On the Role of Numbers and Information in Competition

Author

Listed:
  • Martin Shubik

Abstract

[fre] II est souvent insisté, dans les interprétations données aux résultats de Arrow et Debreu établissant l'existence de l'équilibre concurrentiel, sur l'importance en cette matière de la taille du marché et du nombre de participants. Cependant on constate que, d'un point de vue strictement mathématique, ces résultats sont totalement indépendants de ces derniers paramètres. Il n'en est pas de même des théorèmes établissant la convergence du noyau (core) vers l'ensemble des équilibres concurrentiels lorsque croît la taille de l'économie ; cependant le noyau est un concept insatisfaisant car non stratégique et trop exigeant en matière d'information. Aussi des modèles dynamiques à faible niveau d'information (dont le modèle de Cournot peut apparaître comme l'ancêtre) et qui prennent en compte à la fois biens et services et instruments financiers, semblent bien préférables pour la compréhension de la formation des prix, préférables à tous les modèles dont l'axe est soit l'équilibre concurrentiel, soit le noyau.

Suggested Citation

  • Martin Shubik, 1975. "On the Role of Numbers and Information in Competition," Revue Économique, Programme National Persée, vol. 26(4), pages 605-621.
    • Handle: RePEc:prs:reveco:reco_0035-2764_1975_num_26_4_408221
    as

    Download full text from publisher

    File URL: https://www.persee.fr/doc/reco_0035-2764_1975_num_26_4_408221
    Download Restriction: Data and metadata provided by Persée are licensed under a Creative Commons "Attribution-Noncommercial-Share Alike 3.0" License http://creativecommons.org/licenses/by-nc-sa/3.0/
    ---><---

    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. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
    2. Lloyd Shapley & Martin Shubik, 1969. "Price Strategy Oligopoly With Product Variation," Kyklos, Wiley Blackwell, vol. 22(1), pages 30-44, February.
    3. Shapley, Lloyd S & Shubik, Martin, 1969. "Pure Competition, Coalitional Power, and Fair Division," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 337-362, October.
    4. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    5. Nelson, Richard R & Winter, Sidney G, 1974. "Neoclassical vs. Evolutionary Theories of Economic Growth: Critique and Prospectus," Economic Journal, Royal Economic Society, vol. 84(336), pages 886-905, December.
    6. Martin Shubik & Ward Whitt, 1973. "Fiat Money in an Economy with One Nondurable Good and No Credit (A Noncooperative Sequential Game)," Cowles Foundation Discussion Papers 355, Cowles Foundation for Research in Economics, Yale University.
    Full references (including those not matched with items on IDEAS)

    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. Martin Shubik, 1984. "The Cooperative Form, the Value and the Allocation of Joint Costs and Benefits," Cowles Foundation Discussion Papers 706, Cowles Foundation for Research in Economics, Yale University.
    2. Maria-Augusta Miceli & Federico Cecconi & Giovanni Cerulli, 2013. "Walrasian Tatonnement by Sequential Pairwise Trading: Convergence and Welfare Implications," Working Papers in Public Economics 161, Department of Economics and Law, Sapienza University of Roma.
    3. Amoz Kats & Yair Tauman, 1983. "Production Economies With Patents: A Game Theoretic Approach," Discussion Papers 564, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Alok Kumar & Martin Shubik, 2001. "A Computational Analysis of the Core of a Trading Economy with Three Competitive Equilibria and a Finite Number of Traders," Yale School of Management Working Papers ysm223, Yale School of Management, revised 01 Nov 2003.
    5. Chen-Zhong Qin & Lloyd S. Shapley & Martin Shubik, 2009. "Marshallian Money, Welfare, and Side-Payments," Cowles Foundation Discussion Papers 1729, Cowles Foundation for Research in Economics, Yale University.
    6. Amoz Kats & Yair Tauman, 1982. "Cores and Values of Monopolistic Market Games: Asymptotic Results," Discussion Papers 523, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Martin Shubik, 1972. "A Theory of Money and Financial Institutions. Part VII. Money, Trust and Equilibrium Points in Games in Extensive Form," Cowles Foundation Discussion Papers 331, Cowles Foundation for Research in Economics, Yale University.
    8. Yang, Zhe & Song, Qingping, 2022. "A weak α-core existence theorem of generalized games with infinitely many players and pseudo-utilities," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 40-46.
    9. van der Laan, Gerard & Withagen, Cees, 2003. "Quasi-equilibrium in economies with infinite dimensional commodity spaces: a truncation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 423-444, January.
    10. Parkash Chandler & Henry Tulkens & Jean-Pascal Ypersele & Stephane Willems, 2006. "The Kyoto Protocol: An Economic and Game Theoretic Interpretation," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 195-215, Springer.
    11. Lester G. Telser, 1994. "The Usefulness of Core Theory in Economics," Journal of Economic Perspectives, American Economic Association, vol. 8(2), pages 151-164, Spring.
    12. Christian Pietro & Maria Gabriella Graziano & Vincenzo Platino, 2022. "Social loss with respect to the core of an economy with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 487-508, April.
    13. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    14. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Other publications TiSEM bde29dd4-b328-48b4-8fb4-6, Tilburg University, School of Economics and Management.
    15. Élodie Bertrand, 2006. "La thèse d'efficience du « théorème de Coase ». Quelle critique de la microéconomie ?," Revue économique, Presses de Sciences-Po, vol. 57(5), pages 983-1007.
    16. Jean Gabszewicz & Giulio Codognato, 1991. "Équilibres de Cournot-Walras dans une économie d'échange," Revue Économique, Programme National Persée, vol. 42(6), pages 1013-1026.
    17. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2005. "Linear and non-linear price decentralization," Journal of Economic Theory, Elsevier, vol. 121(1), pages 51-74, March.
    18. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    19. Gonzalez, Stéphane & Rostom, Fatma Zahra, 2022. "Sharing the global outcomes of finite natural resource exploitation: A dynamic coalitional stability perspective," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 1-10.
    20. Ichiishi, Tatsuro, 1985. "Management versus ownership, II," European Economic Review, Elsevier, vol. 27(2), pages 115-138, March.

    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:prs:reveco:reco_0035-2764_1975_num_26_4_408221. 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: Equipe PERSEE (email available below). General contact details of provider: https://www.persee.fr/collection/reco .

    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.