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Anonymous implementation of the Lindahl correspondence: possibility and impossibility results

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  • Sébastien Rouillon

Abstract

This paper deals with the existence of anonymous mechanisms to realize the Lindahl correspondence. We consider, in turn, constant and decreasing returns to scale technologies for producing public goods. In each case, we provide a continuous (but not smooth) and weakly balanced mechanism, which meets the two conditions. We then remark that they satisfy a property (see property NC), which is related to, but in fact stronger than anonymity. Finally, we prove that if a mechanism has this property, if it is weakly balanced and implements the Lindahl correspondence, then it cannot be differentiable around Nash equilibria. Copyright Springer-Verlag 2013

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  • 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.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:4:p:1179-1203
    DOI: 10.1007/s00355-012-0662-6
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    1. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
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    7. Tian, Guoqiang, 1993. "Implementing Lindahl allocations by a withholding mechanism," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 169-179.
    8. Kim, Taesung, 1993. "A stable Nash mechanism implementing Lindahl allocations for quasi-linear environments," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 359-371.
    9. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
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    Cited by:

    1. Hassan Benchekroun & Charles Figuières & Mabel Tidball, 2016. "Implementation of the Lindahl Correspondance via Simple Indirect Mechanisms," Working Papers halshs-01378460, HAL.
    2. Takuma Wakayama & Takehiko Yamato, 2023. "Comparison of the voluntary contribution and Pareto-efficient mechanisms under voluntary participation," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 517-553, June.
    3. Korpela, Ville, 2018. "Procedurally fair implementation under complete information," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 25-31.
    4. Korpela Ville, 2016. "Procedurally Fair Implementation: The Cost of Insisting on Symmetry," Discussion Papers 108, Aboa Centre for Economics.

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