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The Epsilon Core of a Large Game

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Author Info
Myrna Holtz Wooders (SUNY, Stony Brook)

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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.

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File URL: http://cowles.econ.yale.edu/P/cd/d06a/d0612.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 612.

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Length: 34 pages
Date of creation: Dec 1981
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Handle: RePEc:cwl:cwldpp:612

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. [Downloadable!] (restricted)
  2. 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 222-45, February. [Downloadable!] (restricted)
  3. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-85, September. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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 143-48, February. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Kovalenkov, Alexander & Wooders, Myrna Holtz, 2002. "Approximate Cores Of Games And Economies With Clubs," The Warwick Economics Research Paper Series (TWERPS) 634, University of Warwick, Department of Economics. [Downloadable!]
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This page was last updated on 2009-12-14.

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