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Designing stable mechanisms for economic environments

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  • , J.

    (Department of Economics, Ohio State University)

  • ,

    (Department of Economics, University of Texas)

Abstract

We study the design of mechanisms that implement Lindahl or Walrasian allocations and whose Nash equilibria are dynamically stable for a wide class of adaptive dynamics. We argue that supermodularity is not a desirable stability criterion in this mechanism design context, focusing instead on contractive mechanisms. We provide necessary and sufficient conditions for a mechanism to Nash implement Lindahl or Walrasian allocations, show that these conditions are inconsistent with the contraction property when message spaces are one-dimensional, and then show how to use additional dimensions to achieve dynamic stability while gaining budget balance out of equilibrium.

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  • , J. & ,, 2012. "Designing stable mechanisms for economic environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    • Handle: RePEc:the:publsh:898
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    Cited by:

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    2. Oechssler, Joerg & Reischmann, Andreas & Sofianos, Andis, 2022. "The conditional contribution mechanism for repeated public goods – The general case," Journal of Economic Theory, Elsevier, vol. 203(C).
    3. Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
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    5. Healy, Paul J. & Jain, Ritesh, 2017. "Generalized Groves–Ledyard mechanisms," Games and Economic Behavior, Elsevier, vol. 101(C), pages 204-217.
    6. Jacek B. Krawczyk & Mabel Tidball, 2016. "Economic Problems with Constraints: How Efficiency Relates to Equilibrium," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-19, December.
    7. Mariann Ollar & Antonio Penta, 2021. "A network solution to robust implementation: The case of identical but unknown distributions," Economics Working Papers 1776, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Reischmann, Andreas, 2016. "Conditional Contribution Mechanisms for the Provision of Public Goods in Dynamic Settings - Theory and Experimental Evidence," VfS Annual Conference 2016 (Augsburg): Demographic Change 145613, Verein für Socialpolitik / German Economic Association.
    9. Van Essen, Matthew & Walker, Mark, 2017. "A simple market-like allocation mechanism for public goods," Games and Economic Behavior, Elsevier, vol. 101(C), pages 6-19.
    10. Meng, Dawen & Tian, Guoqiang, 2013. "Entry-Deterring Nonlinear Pricing with Bounded Rationality," MPRA Paper 57935, University Library of Munich, Germany, revised May 2014.
    11. Arifovic, Jasmina & Ledyard, John, 2011. "A behavioral model for mechanism design: Individual evolutionary learning," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 374-395, May.
    12. Matt Essen, 2014. "A Clarke tax tâtonnement that converges to the Lindahl allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 309-327, August.
    13. Sylvain Chassang & Lucia Del Carpio & Samuel Kapon, 2022. "Using Divide and Conquer to Improve Tax Collection: Theory and Laboratory Evidence," Working Papers 299, Princeton University, Department of Economics, Center for Economic Policy Studies..
    14. Matt Van Essen, 2015. "Bartering Games in the Kolm Triangle," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 297-310, June.
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    16. Matt Van Essen, 2012. "A note on the stability of Chen’s Lindahl mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 365-370, February.
    17. Mariann Ollár & Antonio Penta, 2019. "Implementation via transfers with identical but unknown distributions," Economics Working Papers 1676, Department of Economics and Business, Universitat Pompeu Fabra.
    18. Sylvain Chassang & Lucia Del Carpio & Samuel Kapon, 2020. "Making the Most of Limited Government Capacity: Theory and Experiment," Working Papers 2020-7, Princeton University. Economics Department..
    19. Nasimeh Heydaribeni & Achilleas Anastasopoulos, 2019. "Distributed Mechanism Design for Network Resource Allocation Problems," Papers 1904.01222, arXiv.org.
    20. Matt Van Essen, 2012. "Information complexity, punishment, and stability in two Nash efficient Lindahl mechanisms," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 15-40, March.
    21. Reischmann, Andreas & Oechssler, Joerg, 2018. "The Binary Conditional Contribution Mechanism for public good provision in dynamic settings — Theory and experimental evidence," Journal of Public Economics, Elsevier, vol. 159(C), pages 104-115.

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    More about this item

    Keywords

    Mechanism design; implementation; stability; learning;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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