Skip to main content
Log in

Almost all social choice rules are highly manipulable, but a few aren't

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

Abstract

Explores, for several classes of social choice rules, the distribution of the number of profiles at which a rule can be strategically manipulated. In this paper, we will do comparative social choice, looking for information about how social choice rules compare in their vulnerability to strategic misrepresentation of preferences.

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

  • Black D (1958) Theory of committees and elections. Cambridge University Press, Cambridge

    Google Scholar 

  • Blair D (1981) On the ubiquity of strategic voting opportunities. Int Econ Rev 22: 649–655

    Google Scholar 

  • Chamberlin JR (1985) An investigation into the relative manipulability of four voting systems. Behav Sci 30: 195–203

    Google Scholar 

  • Feldman A (1980) Welfare economics and social choice theory. Martinus Nijhoff, Boston

    Google Scholar 

  • Gibbard A (1973) Manipulation of voting schemes: a general result. Econometrica 41: 587–602

    Article  CAS  PubMed  Google Scholar 

  • Kelly JS (1988) Conjectures and unsolved problems: 4. Minimal manipulability and local strategy-proofness. Soc Choice Welfare 5: 81–85

    Google Scholar 

  • Kelly JS (1989) Conjectures and unsolved problems: 8. Interjacency. Soc Choice Welfare 6: 331–335

    Google Scholar 

  • Kelly JS (1990) Impossibility results with resoluteness. Econ Lett 34: 15–19

    Google Scholar 

  • Kemeny J (1959) Mathematics without numbers. Daedalus 88: 577–591

    Google Scholar 

  • Lacroix SF (1800) Eloge historique de Jean-Charles Borda. Paris

  • Lepelley D, Mbih B (1987) The proportion of coalitionally unstable situations under the plurality rule. Econ Lett 24: 311–315

    Google Scholar 

  • Luce RD, Raiffa H (1957) Games and decision: introduction and critical survey. Wiley, New York

    Google Scholar 

  • Mascart J (1919) La vie et les travaux du Chevalier Jean-Charles de Borda (1733–1799): épisodes de la vie scientifique au XVIIIe siècle. Lyon

  • Muller E, Satterthwaite MA (1977) The equivalence of strong positive association and strategy-proofness. J Econ Theory 14: 412–418

    Google Scholar 

  • Nitzan SI (1985) The vulnerability of point-voting schemes to preference variation and strategic manipulation. Publ Choice 47: 349–370

    Google Scholar 

  • Nurmi H (1987) Comparing voting systems. Reidel, Dordrecht

    Google Scholar 

  • Pattanaik PK (1978) Strategy and group chocie. North-Holland, Amsterdam

    Google Scholar 

  • Riker WH (1982) Liberalism against populism. W.H. Freeman, San Francisco

    Google Scholar 

  • Saari DG (1987) Susceptibility to manipulation. Publ Choice 64: 21–41

    Google Scholar 

  • Satterthwaite MA (1975) Strategy-proofness and Arrow's conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10: 187–217

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I am indebted to Universidad Internacional Menendez Pelayo for an invitation to present an early version of this paper at a June, 1989 conference at Valencia, Spain. Thanks for comments go to the participants of that conference, especially Salvador Barbera; also for comments at seminars at Syracuse University and the University of Rochester.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kelly, J.S. Almost all social choice rules are highly manipulable, but a few aren't. Soc Choice Welfare 10, 161–175 (1993). https://doi.org/10.1007/BF00183344

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00183344

Keywords

Navigation