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Envy-Freeness and Implementation in Large Economies

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  • Jackson, Matthew O.
  • Kremer, Ilan

Abstract

We show that an asymptotic envy-freeness is a necessary condition for a form of robust approximate implementation in large economies.
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Suggested Citation

  • Jackson, Matthew O. & Kremer, Ilan, 2003. "Envy-Freeness and Implementation in Large Economies," Working Papers 1157, California Institute of Technology, Division of the Humanities and Social Sciences.
  • Handle: RePEc:clt:sswopa:1157
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    File URL: http://www.hss.caltech.edu/SSPapers/wp1157.pdf
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    References listed on IDEAS

    as
    1. Thomas R. Palfrey & Sanjay Srivastava, 1987. "On Bayesian Implementable Allocations," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 193-208.
    2. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    3. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    4. Cordoba, Jose M. & Hammond, Peter J., 1998. "Asymptotically strategy-proof Walrasian exchange," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 185-212, December.
    5. Matthew O. Jackson & Alejandro M. Manelli, 1994. "Approximate Competitive Equilibria in Large Economies," Discussion Papers 1101, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
    7. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
    8. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-1292, November.
    9. Jackson, Matthew O., 1992. "Incentive compatibility and competitive allocations," Economics Letters, Elsevier, vol. 40(3), pages 299-302, November.
    10. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November.
    11. Kovalenkov, Alexander, 2002. "Simple Strategy-Proof Approximately Walrasian Mechanisms," Journal of Economic Theory, Elsevier, vol. 103(2), pages 475-487, April.
    12. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-127, January.
    13. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2000. "Pivotal Players and the Characterization of Influence," Journal of Economic Theory, Elsevier, vol. 92(2), pages 318-342, June.
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    Cited by:

    1. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    2. Devanur, Nikhil R. & Hartline, Jason D. & Yan, Qiqi, 2015. "Envy freedom and prior-free mechanism design," Journal of Economic Theory, Elsevier, vol. 156(C), pages 103-143.
    3. Nguyen, Thành & Peivandi, Ahmad & Vohra, Rakesh, 2016. "Assignment problems with complementarities," Journal of Economic Theory, Elsevier, vol. 165(C), pages 209-241.
    4. Chaturvedi, Rakesh, 2020. "Fairness and partial coercion in land assembly," Games and Economic Behavior, Elsevier, vol. 120(C), pages 325-335.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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