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Implementation via Nash Equilibria

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Author Info
Danilov, Vladimir

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Abstract

This paper is concerned with a problem of implementation of a given social choice correspondence. The authors introduces an essential monotonicity condition and show that any implementable social choice correspondence satisfies this condition. Conversely, in a case of three or more participants, any essentially monotone social choice correspondence is implementable. In a case of two participants, the essential monotonicity condition must be completed by a requirement that the social choice correspondence is close to an individually rational correspondence. Copyright 1992 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 60 (1992)
Issue (Month): 1 (January)
Pages: 43-56
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Handle: RePEc:ecm:emetrp:v:60:y:1992:i:1:p:43-56

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  1. Ismail Saglam, 2007. "A Unified Theory of Implementation," Economics Bulletin, Economics Bulletin, vol. 4(20), pages 1-10. [Downloadable!]
  2. Claudio Mezzetti & Ludovic Renou, 2009. "Implementation in Mixed Nash Equilibrium," The Warwick Economics Research Paper Series (TWERPS) 902, University of Warwick, Department of Economics. [Downloadable!]
    Other versions:
  3. Matthew O. Jackson, 1990. "Undominated Nash Implementation in Bounded Mechanisms," Discussion Papers 966, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  4. Eric Maskin & Tomas Sjostrom, 2001. "Implementation Theory," Economics Working Papers 0006, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  5. Bezalel Peleg & Ariel D. Procaccia, 2007. "Implementation by Mediated Equilibrium," Discussion Paper Series dp463, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem. [Downloadable!]
  6. Luis C. Corchon, 2007. "The theory of implementation : what did we learn?," Economics Working Papers we081207, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  7. Ashraf-Ball, Hezlin & Oswald, Andrew J. & Oswald, James I., 2009. "Hydrogen Transport and the Spatial Requirements of Renewable Energy," The Warwick Economics Research Paper Series (TWERPS) 903, University of Warwick, Department of Economics. [Downloadable!]
  8. BOCHET, Olivier, 2005. "Nash implementation with lottery mechanisms," CORE Discussion Papers 2005072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  9. İpek Özkal-Sanver & M. Sanver, 2006. "Nash implementation via hyperfunctions," Social Choice and Welfare, Springer, vol. 26(3), pages 607-623, June. [Downloadable!] (restricted)
  10. Claus-Jochen Haake & Walter Trockel, 2007. "On Maskin monotonicity of solution based social choice rules," Working Papers 393, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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