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Strategy-proof allocation mechanisms for economies with public goods

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  • Diego Moreno

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  • María Moscoso

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    Abstract

    We show that strategy-proof allocation mechanisms for economies with public goods are dictatorial—i.e., they always select an allocation in their range that maximizes the welfare of the same single individual (the dictator). Further, strategy-proof and efficient allocation mechanisms are strongly dictatorial—i.e., they select the dictator’s preferred allocation on the entire feasible set. Thus, our results reveal the extent to which the conflict between individual incentives and other properties that may be deemed desirable (e.g., fairness, equal treatment, distributive justice) pervades resource allocation problems. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00199-011-0627-5
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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 52 (2013)
    Issue (Month): 1 (January)
    Pages: 315-336

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    Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:315-336

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    Web page: http://link.springer.de/link/service/journals/00199/index.htm

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    Related research

    Keywords: Allocation mechanisms; Strategy-proofness; Dictatorship; Public goods; Efficiency; D6; D7; H4; P1;

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    References

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    1. Dirk Bergemann & Stephen Morris, 2009. "Robust Implementation in Direct Mechanisms," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1175-1204.
    2. Salvador Barberà, 2010. "Strategy-proof social choice," Working Papers 420, Barcelona Graduate School of Economics.
    3. Salvador Barbera & Matthew O. Jackson, 1993. "Strategy-Proof Exchange," Discussion Papers 1021, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. James Schummer, 1999. "Strategy-proofness versus efficiency for small domains of preferences over public goods," Economic Theory, Springer, vol. 13(3), pages 709-722.
    5. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    6. Shigehiro Serizawa, 1999. "Strategy-Proof and Symmetric Social Choice Functions for Public Good Economies," Econometrica, Econometric Society, vol. 67(1), pages 121-146, January.
    7. Serizawa, Shigehiro, 1996. "Strategy-Proof and Individually Rational Social Choice Functions for Public Good Economies," Economic Theory, Springer, vol. 7(3), pages 501-12, April.
    8. Saijo, Tatsuyoshi, 1991. "Incentive compatibility and individual rationality in public good economies," Journal of Economic Theory, Elsevier, vol. 55(1), pages 203-212, October.
    9. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Wiley Blackwell, vol. 48(4), pages 587-97, October.
    10. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    11. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    12. Walker, Mark, 1980. "On the Nonexistence of a Dominant Strategy Mechanism for Making Optimal Public Decisions," Econometrica, Econometric Society, vol. 48(6), pages 1521-40, September.
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