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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.

Suggested Citation

  • Li, Qi & Nakamura, Shinsuke & Tian, Guoqiang, 1995. "Nash-Implementation of the Lindahl Correspondence with Decreasing Returns to Scale Technologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(1), pages 37-52, February.
    • Handle: RePEc:ier:iecrev:v:36:y:1995:i:1:p:37-52
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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. Tymon Słoczyński, 2012. "Zastosowanie zasady równych ofiar do oceny sprawiedliwości taryfy podatku dochodowego od osób fizycznych (PIT) w Polsce," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 10, pages 23-47.
    3. Hassan Benchekroun & Charles Figuières & Mabel Tidball, 2016. "Implementation of the Lindahl Correspondance via Simple Indirect Mechanisms," Working Papers halshs-01378460, HAL.
    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. Tian, Guoqiang, 2003. "A solution to the problem of consumption externalities," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 831-847, November.
    6. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
    7. 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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