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Implementation via mechanisms with transfers

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  • Yi, Jianxin

Abstract

We consider the following problem: suppose that the social choice rule is given, but the planner has the opportunity to redistribute among agents some numeraire commodity ("money") by compensatory transfers; can the planner find a transfer such that the social choice rule is Nash implementable by the transfer? In this paper, we establish a necessary and sufficient condition for Nash implementation by transfers. Furthermore, we construct a simplified mechanism, which Nash-implements the desired social choice rule by transfers.

Suggested Citation

  • Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
  • Handle: RePEc:eee:matsoc:v:61:y:2011:i:1:p:65-70
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    References listed on IDEAS

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    1. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
    2. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    4. Benoît, Jean-Pierre & Ok, Efe A., 2008. "Nash implementation without no-veto power," Games and Economic Behavior, Elsevier, vol. 64(1), pages 51-67, September.
    5. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 757-775.
    6. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 39-56.
    7. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    8. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
    9. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
    10. Olivier Bochet, 2007. "Nash Implementation with Lottery Mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 111-125, January.
    11. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    12. 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.
    13. Barlo, Mehmet & Dalkiran, Nuh Aygun, 2009. "Epsilon-Nash implementation," Economics Letters, Elsevier, vol. 102(1), pages 36-38, January.
    14. Amoros, Pablo, 2004. "Nash implementation and uncertain renegotiation," Games and Economic Behavior, Elsevier, vol. 49(2), pages 424-434, November.
    15. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
    16. 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.
    17. M. Sanver, 2006. "Nash implementing non-monotonic social choice rules by awards," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 453-460, June.
    18. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    19. İpek Özkal-Sanver & M. Sanver, 2006. "Nash implementation via hyperfunctions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 607-623, June.
    20. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    21. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Cited by:

    1. Yi, Jianxin, 2012. "Double implementation in Nash and M-Nash equilibria," Economics Letters, Elsevier, vol. 116(1), pages 105-107.
    2. Jianxin Yi, 2021. "Nash implementation via mechanisms that allow for abstentions," Theory and Decision, Springer, vol. 91(2), pages 279-288, September.

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