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A characterization of natural and double implementation in production economies

Author

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  • Naoki Yoshihara

    (The Institute of Economic Research, Hitotsubashi University, Naka 2-1, Kunitachi, Tokyo 186-8603, Japan)

Abstract

We define two types of natural mechanisms, quantity and price-quantity types, in convex production economies, and characterize the class of Pareto subsolutions doubly implementable in Nash and strong Nash equilibria by these mechanisms respectively. First, we show that there is a class of Pareto subsolutions doubly implementable by natural quantity mechanisms, as long as production sets have smooth boundaries. We characterize the class of Pareto subsolutions doubly implementable by natural price-quantity mechanisms without assuming differentiability of utility functions. Third, we show that the Walrasian solution is the unique Pareto and fully individually rational solution naturally and doubly implementable in private ownership economies.

Suggested Citation

  • Naoki Yoshihara, 2000. "A characterization of natural and double implementation in production economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 571-599.
    • Handle: RePEc:spr:sochwe:v:17:y:2000:i:4:p:571-599
    Note: Received: 4 December 1997/Accepted: 25 August 1999
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    Cited by:

    1. John E. Roemer, 2010. "Kantian Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 112(1), pages 1-24, March.
    2. Naoki Yoshihara & Akira Yamada, 2019. "Nash implementation in production economies with unequal skills: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 113-134, June.
    3. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    4. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    5. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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