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Implementing Lindahl allocations by a withholding mechanism

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  • Tian, Guoqiang

Abstract

This paper investigates the problem of designing mechanisms whose Nash allocations coincide with Lindahl allocations for public goods economies when initial endowments are private information and unreported endowments are consumed (withheld) but are not destroyed. It will be noted that the mechanism presented here is individually feasible, balanced, and continuous. Besides, we allow preferences of agents to be nontotal-nontransitive and discontinuous.
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  • Tian, Guoqiang, 1993. "Implementing Lindahl allocations by a withholding mechanism," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 169-179.
    • Handle: RePEc:eee:mateco:v:22:y:1993:i:2:p:169-179
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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. Tian, Guoqiang, 1991. "Implementation of Lindahl allocations with nontotal--nontransitive preferences," Journal of Public Economics, Elsevier, vol. 46(2), pages 247-259, November.
    3. 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.
    4. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    5. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
    6. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
    7. Tian, Guoqiang, 1990. "Completely feasible and continuous implementation of the Lindahl correspondence with a message space of minimal dimension," Journal of Economic Theory, Elsevier, vol. 51(2), pages 443-452, August.
    8. 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.
    9. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    10. Kim, Taesung & Richter, Marcel K., 1986. "Nontransitive-nontotal consumer theory," Journal of Economic Theory, Elsevier, vol. 38(2), pages 324-363, April.
    11. Tian, Guoqiang, 1988. "On the constrained Walrasian and Lindahl correspondences," Economics Letters, Elsevier, vol. 26(4), pages 299-303.
    12. Tian, Guoqiang & Li, Qi, 1991. "Completely feasible and continuous implementation of the Lindahl correspondence with any number of goods," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 67-79, February.
    13. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 625-641.
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    Cited by:

    1. Sébastien Rouillon, 2013. "Anonymous implementation of the Lindahl correspondence: possibility and impossibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1179-1203, April.
    2. Nigar Hashimzade & Gareth D. Myles, 2009. "Announcement or Contribution? The Relative Efficiency of Manipulated Lindahl Mechanisms," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 565-598, August.
    3. Guoqiang Tian, 1999. "Bayesian implementation in exchange economies with state dependent preferences and feasible sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(1), pages 99-119.
    4. Corchón, Luis C. & Triossi, Matteo, 2005. "Implementation with state dependent feasible sets and preferences: a renegotiation approach," UC3M Working papers. Economics we057136, Universidad Carlos III de Madrid. Departamento de Economía.
    5. Nir Dagan & Oscar Volij & Roberto Serrano, 1999. "Feasible implementation of taxation methods," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 57-72.
    6. Sertel, Murat R. & Sanver, M. Remzi, 1999. "Equilibrium outcomes of Lindahl-endowment pretension games1," European Journal of Political Economy, Elsevier, vol. 15(2), pages 149-162, June.
    7. 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.
    8. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
    9. Tian, Guoqiang & Li, Qi, 1995. "Ratio-Lindahl equilibria and an informationally efficient and implementable mixed-ownership system," Journal of Economic Behavior & Organization, Elsevier, vol. 26(3), pages 391-411, May.
    10. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    11. Tian, Guoqiang, 1997. "Virtual implementation in incomplete information environments with infinite alternatives and types," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 313-339, October.

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