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Nash-Implementation of the Lindahl Correspondence with Decreasing Returns to Scale Technologies

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  • Li, Qi
  • Nakamura, Shinsuke
  • Tian, Guoqiang

Abstract

This paper considers the problem of designing 'well-behaved' mechanisms whose Nash allocations coincide with Lindahl allocations in the presence of decreasing returns to scale technologies. The mechanism presented here is individually feasible, balanced, continuous, and differentiable around Nash equilibria. Further, the mechanism has a message space of minimal dimension. Moreover, the authors show that, in contrast to mechanisms dealing with constant returns to scale, an important characteristic of mechanisms implementing the Lindahl correspondence with decreasing returns to scale technologies is that at least one individual's personalized prices depend on his own messages, provided the mechanisms are balanced and smooth. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Bibliographic Info

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 36 (1995)
Issue (Month): 1 (February)
Pages: 37-52

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Handle: RePEc:ier:iecrev:v:36:y:1995:i:1:p:37-52

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Cited by:
  1. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  2. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
  3. 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.
  4. Tian, Guoqiang, 2003. "A solution to the problem of consumption externalities," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 831-847, November.
  5. Tian, Guoqiang, 2000. "Implementation of balanced linear cost share equilibrium solution in Nash and strong Nash equilibria," Journal of Public Economics, Elsevier, vol. 76(2), pages 239-261, May.

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