IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/612.html
   My bibliography  Save this paper

The Epsilon Core of a Large Game

Author

Listed:
  • Myrna Holtz Wooders

    (SUNY, Stony Brook)

Abstract

Sufficient conditions are given for large replica games without side payments to have non-empty approximate cores for all sufficiently large replications. No "balancedness" assumptions are required. The conditions are superadditivity, a very weak boundedness condition, and convexity of the payoff sets. An example is provided to show that under these conditions, the (exact) core well may be empty.

Suggested Citation

  • Myrna Holtz Wooders, 1981. "The Epsilon Core of a Large Game," Cowles Foundation Discussion Papers 612, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:612
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d06/d0612.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Khan, M Ali & Rashid, S, 1975. "Nonconvexity and Pareto Optimality in Large Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(1), pages 222-245, February.
    2. 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.
    3. Boehm, Volker, 1974. "The Limit of the Core of an Economy with Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 143-148, February.
    4. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    5. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    6. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-1485, September.
    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. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    2. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.

    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 & Myrna Holtz Wooders, 1982. "Approximate Cores of a General Class of Economies. Part I: Replica Games, Externalities, and Approximate Cores," Cowles Foundation Discussion Papers 618, Cowles Foundation for Research in Economics, Yale University.
    2. Martin Shubik & Myrna Holtz Wooders, 1982. "Approximate Cores of a General Class of Economies: Part II. Set-Up Costs and Firm Formation in Coalition Production Economies," Cowles Foundation Discussion Papers 619, Cowles Foundation for Research in Economics, Yale University.
    3. Ten Raa, T. & Gilles, R.P., 2000. "Club Efficiency and Lindahl Equilibrium with Semi-Public Goods," Discussion Paper 2000-08, Tilburg University, Center for Economic Research.
    4. Inoue, Tomoki, 2014. "Indivisible commodities and an equivalence theorem on the strong core," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 22-35.
    5. Jiuqiang Liu & Huihui Zhang, 2016. "Coincidence of the Mas-Colell bargaining set and the set of competitive equilibria in a continuum coalition production economy," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1095-1109, November.
    6. 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.
    7. John P. Conley & Myrna Holtz Wooders, 1998. "The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium," Working Papers mwooders-98-06, University of Toronto, Department of Economics.
    8. Ten Raa, T. & Gilles, R.P., 2003. "Lindahl Equilibrium and Schweitzer's Open Club Model Semi-Public Goods," Other publications TiSEM d548dbdd-1896-4775-a4f3-4, Tilburg University, School of Economics and Management.
    9. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
    10. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    11. Serrano, Roberto & Volij, Oscar, 1998. "Axiomatizations of neoclassical concepts for economies," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 87-108, August.
    12. Nizar Allouch & Myrna Wooders, 2004. "Price Taking Equilibrium in Club Economies with Multiple Memberships and Unbounded Club Sizes," Working Papers 513, Queen Mary University of London, School of Economics and Finance.
    13. Inoue, Tomoki, 2012. "Representation of transferable utility games by coalition production economies," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 143-147.
    14. Herings, P. Jean-Jacques, 2018. "Equilibrium and matching under price controls," Journal of Economic Theory, Elsevier, vol. 177(C), pages 222-244.
    15. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    16. Myrna Wooders, 2010. "Cores of many-player games; nonemptiness and equal treatment," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 131-162, March.
    17. Dur, Umut & Morrill, Thayer, 2018. "Competitive equilibria in school assignment," Games and Economic Behavior, Elsevier, vol. 108(C), pages 269-274.
    18. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    19. Ning Sun & Zaifu Yang, 2016. "A Theory of Marriage with Mutually Consented Divorces," Discussion Papers 16/14, Department of Economics, University of York.
    20. Takekuma, Shin-Ichi & 武隈, 愼一, 2013. "The Rejective Core of an Economy with Profit-Making Firms," Discussion Papers 2013-10, Graduate School of Economics, Hitotsubashi University.

    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:cwl:cwldpp:612. 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: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.html .

    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.