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Implementation in economies with non-convex production technologies unknown to the designer

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  • Tian, Guoqiang

Abstract

This paper deals with the problem of incentive mechanism design in non-convex production economies when production sets and preferences both are unknown to the designer. We consider Nash-implementation of loss-free, average cost, marginal cost, voluntary trading, and quantity-taking pricing equilibrium allocations in economies involving increasing returns to scale or more general types of non-convexities. The mechanisms presented in the paper are well-behaved. They are feasible, continuous, and use finite dimensional message spaces. Moreover, the mechanisms work not only for three or more agents, but also for two-agent economies.

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  • Tian, Guoqiang, 2009. "Implementation in economies with non-convex production technologies unknown to the designer," Games and Economic Behavior, Elsevier, vol. 66(1), pages 526-545, May.
    • Handle: RePEc:eee:gamebe:v:66:y:2009:i:1:p:526-545
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    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Bonnisseau, Jean-Marc, 1988. "On two existence results of equilibria in economies with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 193-207, April.
    3. Paulina Beato, 1982. "The Existence of Marginal Cost Pricing Equilibria with Increasing Returns," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(4), pages 669-688.
    4. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 217-225.
    5. Bonnisseau, J.-M. & Cornet, B., 1987. "Existence of marginal cost pricing equilibrium in an economy with several nonconvex firms," LIDAM Discussion Papers CORE 1987023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Calsamiglia, Xavier, 1977. "Decentralized resource allocation and increasing returns," Journal of Economic Theory, Elsevier, vol. 14(2), pages 263-283, April.
    7. Cornet, Bernard, 1988. "General equilibrium theory and increasing returns : Presentation," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 103-118, April.
    8. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 119-147, April.
    9. Kamiya, Kazuya, 1988. "Existence and uniqueness of equilibria with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 149-178, April.
    10. Vohra, Rajiv, 1988. "On the existence of equilibria in economies with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 179-192, April.
    11. John Duggan, 2003. "Nash implementation with a private good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 117-131, January.
    12. Dehez, Pierre & Dreze, Jacques, 1988. "Competitive equilibria with quantity-taking producers and increasing returns to scale," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 209-230, April.
    13. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    14. Guoqiang Tian, 1999. "Double implementation in economies with production technologies unknown to the designer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 689-707.
    15. Brown, Donald J., 1991. "Equilibrium analysis with non-convex technologies," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 36, pages 1963-1995, Elsevier.
    16. Donald J. Brown & Geoffrey Heal, 1979. "Equity, Efficiency and Increasing Returns," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(4), pages 571-585.
    17. Brown, Donald J. & Heller, Walter P. & Starr, Ross M., 1992. "Two-part marginal cost pricing equilibria: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 57(1), pages 52-72.
    18. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-1593, November.
    19. Tian, Guoqiang, 1996. "Continuous and Feasible Implementation of Rational-Expectations Lindahl Allocations," Games and Economic Behavior, Elsevier, vol. 16(1), pages 135-151, September.
    20. Tian, Guoqiang, 2005. "Implementation in production economies with increasing returns," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 309-325, May.
    21. Guoqiang Tian, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 613-621.
    22. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 401-417, May.
    23. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 603-611.
    24. Tian, Guoqiang, 1992. "Existence of equilibrium in abstract economies with discontinuous payoffs and non-compact choice spaces," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 379-388.
    25. CORNET, Bernard, 1988. "Marginal cost pricing and Pareto optimality," LIDAM Discussion Papers CORE 1988037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    1. 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.

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