IDEAS home Printed from https://ideas.repec.org/p/cla/uclawp/605.html

The Nonatomic Assignment Model

Author

Listed:
  • Neil E. Gretsky

    (UCLA)

  • Joseph M. Ostroy

    (UCLA)

  • William R. Zame

    (UCLA)

Abstract

We formulate a model with a continuum of individuals to be assigned to a continuum of different positions which is an extension of the finite housing market version due to Shapley and Shubik. We show that optimal solutions to such a model exist and have properties similar to those established for finite models, namely, an equivalence among the following: (1) optimal solutions to the linear programming problem (and its dual) associated with the assignment model; (2) the core of the associated market game; and (3) the Walrasian equilibria of the associated market economy.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Neil E. Gretsky & Joseph M. Ostroy & William R. Zame, 1990. "The Nonatomic Assignment Model," UCLA Economics Working Papers 605, UCLA Department of Economics.
    • Handle: RePEc:cla:uclawp:605
    as

    Download full text from publisher

    File URL: http://www.econ.ucla.edu/workingpapers/wp605.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    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. 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.
    2. 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.
    3. 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.
    4. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    5. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Other publications TiSEM bde29dd4-b328-48b4-8fb4-6, Tilburg University, School of Economics and Management.
    6. 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.
    7. 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.
    8. 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.
    9. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    10. Ichiishi, Tatsuro, 1985. "Management versus ownership, II," European Economic Review, Elsevier, vol. 27(2), pages 115-138, March.
    11. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    12. Bhowmik, Anuj & Saha, Sandipan, 2022. "On blocking mechanisms in economies with club goods," MPRA Paper 114928, University Library of Munich, Germany.
    13. Nir Dagan, 1995. "Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism," Economic theory and game theory 011, Nir Dagan.
    14. Yusuke Kamishiro & Roberto Serrano & Myrna Wooders, 2021. "Monopolists of scarce information and small group effectiveness in large quasilinear economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 801-827, December.
    15. Marcus Berliant & Thijs ten Raa, 2007. "Equilibrium And The Core In Alonso'S Discrete Population Model Of Land Use," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 235-246, February.
    16. Edgar Villa, 2013. "Una Revisión Moderna de las Teorías de Precios de Ricardo y Jevons," Vniversitas Económica, Universidad Javeriana - Bogotá, vol. 0(0), pages 1-63.
    17. van Damme, E.E.C., 1995. "Game theory : The next stage," Other publications TiSEM 7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
    18. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    19. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    20. Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 353-370, January.

    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:cla:uclawp:605. 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: David K. Levine (email available below). General contact details of provider: http://www.econ.ucla.edu/ .

    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.