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Nash implementation theory -- A note on full characterizations

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  • Korpela, Ville

Abstract

The first full characterization of social choice correspondences that are implementable in Nash equilibrium, given in Moore and Repullo (1990), together with the working principle behind an algorithm to check this condition, given in Sjöström (1991), can be used to give a simple necessary and sufficient condition for implementation that is a generalization of monotonicity.

Suggested Citation

  • Korpela, Ville, 2010. "Nash implementation theory -- A note on full characterizations," Economics Letters, Elsevier, vol. 108(3), pages 283-285, September.
    • Handle: RePEc:eee:ecolet:v:108:y:2010:i:3:p:283-285
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    References listed on IDEAS

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    1. Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 121-128.
    2. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    3. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
    4. Benoit, Jean-Pierre & Ok, Efe A., 2006. "Maskin's Theorem with limited veto power," Games and Economic Behavior, Elsevier, vol. 55(2), pages 331-339, May.
    5. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
    6. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
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    1. Doghmi, Ahmed & Ziad, Abderrahmane, 2015. "Nash implementation in private good economies with single-plateaued preferences and in matching problems," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 32-39.
    2. Korpela, Ville, 2013. "A simple sufficient condition for strong implementation," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2183-2193.
    3. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2016. "Strategy proofness and unanimity in many-to-one matching markets," MPRA Paper 75927, University Library of Munich, Germany, revised 08 Dec 2016.
    4. Chopra, Anand & Gavan, Malachy James & Penta, Antonio, 2026. "Safe implementation in mixed Nash equilibrium," Journal of Mathematical Economics, Elsevier, vol. 122(C).
    5. Jain, Ritesh & Korpela, Ville & Lombardi, Michele, 2025. "Two-player rationalizable implementation," Journal of Economic Theory, Elsevier, vol. 227(C).

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