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Voluntary Implementation

Author

Listed:
  • Jackson, Matthew O.
  • Palfrey, Thomas R.

Abstract

We examine Nash implementation when individuals cannot be forced to accept the outcome of a mechanism. Two approaches are studied. The first approach is static where a state-contingent participation constraint de nes an implicit mapping from rejected outcomes into outcomes that are individually rational. We call this voluntary implementation, and show that the constrained Walrasian correspondence is not voluntarily implementable. The second approach is dynamic where a mechanism is replayed if the outcome at any stage is vetoed by one of the agents. We call this stationary implementation, and show that if players discount the future in any way, then the constrained Walrasian correspondence is stationarily implementable.

Suggested Citation

  • Jackson, Matthew O. & Palfrey, Thomas R., 1999. "Voluntary Implementation," Working Papers 1077, California Institute of Technology, Division of the Humanities and Social Sciences.
    • Handle: RePEc:clt:sswopa:1077
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    1. is not listed on IDEAS
    2. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    3. Liu, Changchen & Luo, Yunfeng & Zeng, Nvpo, 2010. "Voluntary implementation when the planner is a player," Economics Letters, Elsevier, vol. 108(2), pages 201-204, August.
    4. Paul Healy, 2010. "Equilibrium participation in public goods allocations," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 27-50, March.
    5. Trockel, Walter, 2017. "Can and should the Nash Program be looked at as a part of mechanism theory," Center for Mathematical Economics Working Papers 322, Center for Mathematical Economics, Bielefeld University.
    6. Amoros, Pablo, 2004. "Nash implementation and uncertain renegotiation," Games and Economic Behavior, Elsevier, vol. 49(2), pages 424-434, November.
    7. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Walter Trockel, 2002. "Integrating the Nash program into mechanism theory," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 27-43.
    9. Juan Perote Peña, 2003. "Ethical Implementation and the Creation of Moral Values," Economic Working Papers at Centro de Estudios Andaluces E2003/25, Centro de Estudios Andaluces.
    10. Corchón, Luis C. & Triossi, Matteo, 2005. "Implementation with state dependent feasible sets and preferences: a renegotiation approach," UC3M Working papers. Economics we057136, Universidad Carlos III de Madrid. Departamento de Economía.
    11. repec:bge:wpaper:1497 is not listed on IDEAS
    12. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
    13. 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.
    14. Caleb Koch, 2020. "Implementation with ex post hidden actions," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 5(1), pages 1-35, December.
    15. Cédric Wanko, 2018. "A Unique and Stable $$\hbox {Se}{\mathcal {C}}\hbox {ure}$$ Se C ure Reversion Protocol Improving Efficiency: A Computational Bayesian Approach for Empirical Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 1-23, June.
    16. Hideo Konishi & Taiji Furusawa, 2008. "Contributing or Free-Riding? A Theory of Endogenous Lobby Formation," Working Papers 2008.23, Fondazione Eni Enrico Mattei.
    17. 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.
    18. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Economics Working Papers 0033, Institute for Advanced Study, School of Social Science.
    19. Anand Chopra & Malachy James Gavan & Antonio Penta, 2025. "Safe implementation in mixed nash equilibrium," Economics Working Papers 1911, Department of Economics and Business, Universitat Pompeu Fabra.
    20. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    21. Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
    22. Luis Corchón & Matteo Triossi, 2011. "Implementation with renegotiation when preferences and feasible sets are state dependent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 179-198, February.
    23. Jianxin Yi, 2021. "Nash implementation via mechanisms that allow for abstentions," Theory and Decision, Springer, vol. 91(2), pages 279-288, September.
    24. 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.

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