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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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File URL: http://mpra.ub.uni-muenchen.de/41255/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41255.

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Date of creation: May 1991
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Publication status: Published in Journal of Mathematical Economics 2.22(1993): pp. 169-179
Handle: RePEc:pra:mprapa:41255

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Keywords: Lindahl allocations; withholding mechanism;

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References

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  1. 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.
  2. Tian, Guoqiang, 1988. "On the constrained Walrasian and Lindahl correspondences," Economics Letters, Elsevier, vol. 26(4), pages 299-303.
  3. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 625-41, June.
  4. Kim, Taesung & Richter, Marcel K., 1986. "Nontransitive-nontotal consumer theory," Journal of Economic Theory, Elsevier, vol. 38(2), pages 324-363, April.
  5. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
  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.
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Cited by:
  1. Nir Dagan & Roberto Serrano & Oscar Volij, 1995. "Feasible Implementation of Taxation Methods," Working Papers 95-14, Brown University, Department of Economics.
  2. 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.
  3. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
  4. Matteo Triossi & Luis Corchón, 2006. "Implementation with State Dependent Feasible Sets and Preferences: A Renegotiation Approach," Carlo Alberto Notebooks 24, Collegio Carlo Alberto.
  5. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Guoqiang Tian, 1999. "Bayesian implementation in exchange economies with state dependent preferences and feasible sets," Social Choice and Welfare, Springer, vol. 16(1), pages 99-119.
  7. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
  8. Sébastien Rouillon, 2013. "Anonymous implementation of the Lindahl correspondence: possibility and impossibility results," Social Choice and Welfare, Springer, vol. 40(4), pages 1179-1203, April.
  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.

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