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Nash implementing non-monotonic social choice rules by awards

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  • M. Sanver
Abstract
By a slight generalization of the definition of implementation (called implementation by awards), Maskin monotonicity is no more needed for Nash implementation. In fact, a weaker condition, to which we refer as almost monotonicity is both necessary and sufficient for social choice correspondences to be Nash implementable by awards. Hence our framework paves the way to the Nash implementation of social choice rules which otherwise fail to be Nash implementable. In particular, the Pareto social choice rule, the majority rule and the strong core are almost monotonic (hence Nash implementable by awards) while they are not Maskin monotonic (hence fail to be Nash implementable in the standard framework). Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:28:y:2006:i:2:p:453-460
    DOI: 10.1007/s00199-005-0626-5
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    Citations

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    Cited by:

    1. Mezzetti, Claudio & Renou, Ludovic, 2012. "Implementation in mixed Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2357-2375.
    2. Laslier, Jean-François & Núñez, Matías & Remzi Sanver, M., 2021. "A solution to the two-person implementation problem," Journal of Economic Theory, Elsevier, vol. 194(C).
    3. Sanver, M. Remzi, 2008. "Nash implementability of the plurality rule over restricted domains," Economics Letters, Elsevier, vol. 99(2), pages 298-300, May.
    4. Cabrales, Antonio & Serrano, Roberto, 2011. "Implementation in adaptive better-response dynamics: Towards a general theory of bounded rationality in mechanisms," Games and Economic Behavior, Elsevier, vol. 73(2), pages 360-374.
    5. M. Remzi Sanver, 2017. "Nash implementing social choice rules with restricted ranges," Review of Economic Design, Springer;Society for Economic Design, vol. 21(1), pages 65-72, March.
    6. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei & Xiong, Siyang, 2022. "Maskin meets Abreu and Matsushima," Theoretical Economics, Econometric Society, vol. 17(4), November.
    7. Artemov, Georgy, 2014. "An impossibility result for virtual implementation with status quo," Economics Letters, Elsevier, vol. 122(3), pages 380-385.
    8. İpek Özkal-Sanver & M. Sanver, 2010. "A new monotonicity condition for tournament solutions," Theory and Decision, Springer, vol. 69(3), pages 439-452, September.
    9. M. Remzi Sanver, 2018. "Implementing Pareto Optimal and Individually Rational Outcomes by Veto," Group Decision and Negotiation, Springer, vol. 27(2), pages 223-233, April.
    10. Artemov, Georgy, 2015. "Time and Nash implementation," Games and Economic Behavior, Elsevier, vol. 91(C), pages 229-236.
    11. Massó, Jordi & Nicolò, Antonio, 2008. "Efficient and stable collective choices under gregarious preferences," Games and Economic Behavior, Elsevier, vol. 64(2), pages 591-611, November.
    12. Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 131-151, September.
    13. Jordi Massó & Antonio Nicolò, 2004. "Efficient and Stable Collective Choices under Crowding Preferences," Working Papers 148, Barcelona School of Economics.
    14. 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.
    15. Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
    16. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).

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