Skip to main content
Log in

Implementation in generic environments

  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

In this paper, we study implementation in “economic environments”. It is shown that there is a dense subset of the set of preference profiles such that given an arbitrary social choice function, f, and ε>0, there exists another social choice function, f ε, within ε of f uniformly and implementable in Nash equilibrium on the dense subset.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abreu D, Matsushima H (1992) Virtual implementation in iteratively undominated strategies: complete information. Econometrica 60: 993–1008

    Google Scholar 

  • Abreu D, Sen A (1991) Virtual implementation in Nash equilibrium. Econometrica 59: 997–1021

    Google Scholar 

  • Dieudonné J (1969) Foundations of modern analysis. Academic Press, New York

    Google Scholar 

  • Hirsch M (1976) Differential topology. Springer Verlag, Berlin

    Google Scholar 

  • Maskin E (1977) Nash equilibrium and welfare optimality. Mimeo

  • Matsushima H (1988) A new approach to the implementation problem. J Econ Theory 45: 128–144

    Google Scholar 

  • Moore J, Repullo R (1988) Subgame perfect implementation. Econometrica 56: 1191–1220

    Google Scholar 

  • Palfrey T, Srivastava S (1991) Nash equilibrium using undominated strategies. Econometrica 59: 479–501

    Google Scholar 

  • Saijo T (1988) Strategy space reduction in Maskin's theorem: sufficient conditions for Nash implementation. Econometrica 56: 693–700

    Google Scholar 

  • Smale S (1974) Global analysis and economics IIA: extension of a theorem of Debreu. J Math Econ 1: 1–14

    Google Scholar 

  • Williams S (1984) Sufficient conditions for Nash implementation. Institute for Mathematics and its Applications, University of Minnesota

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors thank John Duggan, Ed Green and an anonymous referee for helpful suggestions and comments. Bergin Acknowledges financial support from the Social Sciences and Humanities Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bergin, J., Sen, A. Implementation in generic environments. Soc Choice Welfare 13, 467–478 (1996). https://doi.org/10.1007/BF00182857

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00182857

Keywords

Navigation