IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v48y2012i3p163-169.html
   My bibliography  Save this article

Trading equilibrium in a public good economy with smooth preferences and a mixed measure space of consumers

Author

Listed:
  • Perets, Hovav
  • Shitovitz, Benyamin
  • Spiegel, Menahem

Abstract

Lindahl and Nash equilibria are often used in the theory of public good. Shitovitz and Spiegel (1998) present an example of 2-person economy with one private good and one pure public good, where the core efficient Lindahl allocation does not Pareto dominate the (inefficient) Nash allocation. In this paper we introduce the new concept of Trading equilibrium for a general public good economy with smooth preferences and a mixed measure space of consumers. We obtain that this economy admits a unique Trading equilibrium. Moreover, the Trading equilibrium induces a core allocation that strictly Pareto dominates the Nash allocation.

Suggested Citation

  • Perets, Hovav & Shitovitz, Benyamin & Spiegel, Menahem, 2012. "Trading equilibrium in a public good economy with smooth preferences and a mixed measure space of consumers," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 163-169.
    • Handle: RePEc:eee:mateco:v:48:y:2012:i:3:p:163-169
    DOI: 10.1016/j.jmateco.2012.02.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406812000079
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2012.02.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Codognato, Giulio & Gabszewicz, Jean J, 1993. "Cournot-Walras Equilibria in Markets with a Continuum of Traders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 453-464, July.
    2. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2011. "Noncooperative oligopoly in markets with a continuum of traders," Games and Economic Behavior, Elsevier, vol. 72(1), pages 38-45, May.
    3. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    4. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    5. Gabszewicz, Jean J. & Shitovitz, Benyamin, 1992. "The core in imperfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 15, pages 459-483, Elsevier.
    6. Bernheim, B Douglas, 1986. "On the Voluntary and Involuntary Provision of Public Goods," American Economic Review, American Economic Association, vol. 76(4), pages 789-793, September.
    7. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
    8. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
    9. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    10. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    11. Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December.
    12. Muench, Thomas J., 1972. "The core and the Lindahl equilibrium of an economy with a public good: an example," Journal of Economic Theory, Elsevier, vol. 4(2), pages 241-255, April.
    13. Okuno, Masahiro & Postlewaite, Andrew & Roberts, John, 1980. "Oligopoly and Competition in Large Markets," American Economic Review, American Economic Association, vol. 70(1), pages 22-31, March.
    14. Shitovitz, Benyamin & Spiegel, Menahem, 1998. "Cournot-Nash and Lindahl Equilibria in Pure Public Good Economies," Journal of Economic Theory, Elsevier, vol. 83(1), pages 1-18, November.
    15. Shitovitz, Benyamin & Spiegel, Menahem, 2001. "Stable Provision vs. Cournot-Nash Equilibria in Pure Public Good Economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(2), pages 219-224.
    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. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2012. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem," The Warwick Economics Research Paper Series (TWERPS) 994, University of Warwick, Department of Economics.
    2. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, 2017. "Asymptotic equivalence between Cournot–Nash and Walras equilibria in exchange economies with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 975-990, November.
    3. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, "undated". "Noncooperative oligopoly in markets with a continuum of traders: a limit theorem a la Cournot," Working Papers 2014_01, Business School - Economics, University of Glasgow.
    4. Shitovitz, Benyamin & Spiegel, Menahem, 1998. "Cournot-Nash and Lindahl Equilibria in Pure Public Good Economies," Journal of Economic Theory, Elsevier, vol. 83(1), pages 1-18, November.
    5. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2014. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem µa la Cournot," SIRE Discussion Papers 2014-019, Scottish Institute for Research in Economics (SIRE).
    6. John P. Conley & Stefani C. Smith, 2004. "Existence and Efficiency of a Price-Taking Equilibrium in an Economy with Public Goods, Externalities and Property Rights: A Coasian Approach," Vanderbilt University Department of Economics Working Papers 0403, Vanderbilt University Department of Economics, revised Jan 2004.
    7. Murty, Sushama, 2010. "Externalities and fundamental nonconvexities: A reconciliation of approaches to general equilibrium externality modeling and implications for decentralization," Journal of Economic Theory, Elsevier, vol. 145(1), pages 331-353, January.
    8. Marakulin, V.M., 2013. "On the Edgeworth conjecture for production economies with public goods: A contract-based approach," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 189-200.
    9. Nizar Allouch, 2013. "A competitive equilibrium for a warm-glow economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 269-282, May.
    10. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00531434, HAL.
    11. Faias, Marta & Moreno, Emma & Wooders, Myrna, 2009. "A Strategic market game approach for the private provision of public goods," MPRA Paper 37777, University Library of Munich, Germany, revised 08 Mar 2012.
    12. Bilodeau, Marc & Gravel, Nicolas, 2004. "Voluntary provision of a public good and individual morality," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 645-666, March.
    13. Hassan Benchekroun & Charles Figuières & Mabel Tidball, 2016. "Implementation of the Lindahl Correspondance via Simple Indirect Mechanisms," Working Papers halshs-01378460, HAL.
    14. Monique Florenzano, 2010. "Government and the provision of public goods:from equilibrium models to mechanismdesign," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 17(4), pages 1047-1077.
    15. Hideo Konishi & Ryusuke Shinohara, 2014. "Voluntary Participation and Provision of Public Goods in Large Finite Economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(2), pages 173-195, April.
    16. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
    17. Fraser, Clive D., 2000. "When Is Efficiency Separable from Distribution in the Provision of Club Goods?," Journal of Economic Theory, Elsevier, vol. 90(2), pages 204-221, February.
    18. Ludovic A. Julien & Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Damiano Turchet, 2023. "Noncooperative Oligopoly in Markets with a Continuum of Traders and a Strongly Connected Set of Commodities: A Limit Theorem," EconomiX Working Papers 2023-22, University of Paris Nanterre, EconomiX.
    19. repec:ebl:ecbull:v:8:y:2007:i:6:p:1-4 is not listed on IDEAS
    20. Shlomit Hon‐Snir & Benyamin Shitovitz & Menahem Spiegel, 2010. "Bayesian Equilibrium in a Public Good Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(2), pages 387-398, April.
    21. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2011. "Noncooperative oligopoly in markets with a continuum of traders," Games and Economic Behavior, Elsevier, vol. 72(1), pages 38-45, May.

    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:mateco:v:48:y:2012:i:3:p:163-169. 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/jmateco .

    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.