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Minimal manipulability: anonymity and unanimity

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Author Info

  • Stefan Maus

    ()

  • Hans Peters

    ()

  • Ton Storcken

    ()

Abstract

This paper is concerned with the minimal number of profiles at which a unanimous and anonymous social choice function is manipulable. The lower bound is derived when there are three alternatives to choose from. Examples of social choice functions attaining the lower bound are given. We conjecture that these examples are in fact all minimally manipulable social choice functions. Since some of these examples are even Pareto optimal, we have also derived the lower bound for Pareto optimal and anonymous social choice functions. Some of the minimally manipulable Pareto optimal and anonymous social choice functions can be interpreted as status quo voting.

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File URL: http://hdl.handle.net/10.1007/s00355-006-0202-3
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 29 (2007)
Issue (Month): 2 (September)
Pages: 247-269

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Handle: RePEc:spr:sochwe:v:29:y:2007:i:2:p:247-269

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References

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  1. Maus, Stefan & Peters, Hans & Storcken, Ton, 2007. "Anonymous voting and minimal manipulability," Journal of Economic Theory, Elsevier, vol. 135(1), pages 533-544, July.
  2. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  3. Maus,Stefan & Peters,Hans & Storcken,Ton, 2004. "Minimal Manipulability: Anonymity and Surjectivity," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. Peter Fristrup & Hans Keiding, 1998. "Minimal manipulability and interjacency for two-person social choice functions," Social Choice and Welfare, Springer, vol. 15(3), pages 455-467.
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Cited by:
  1. Wonki Jo Cho, 2013. "Impossibility Results for Parametrized Notions of Efficiency and Strategyproofness in Exchange Economies," The School of Economics Discussion Paper Series 1314, Economics, The University of Manchester.
  2. Ehlers, Lars & Svensson, Lars-Gunnar & Andersson, Tommy, 0. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society.
  3. Ehud Friedgut & Gil Kalai & Noam Nisan, 2008. "Elections Can be Manipulated Often," Levine's Working Paper Archive 122247000000002416, David K. Levine.
  4. Mostapha Diss, 2013. "Strategic manipulability of self-selective social choice rules," Working Papers 1302, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
  5. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2012. "Least Manipulable Envy-free Rules in Economies with Indivisibilities," Working Papers 2012:8, Lund University, Department of Economics, revised 30 Sep 2013.
  6. ANDERSSON, Tommy & EHLERS, Lars, 2013. "An algorithm for identifying agent-k-linked allocations in economies with indivisibilities," Cahiers de recherche 2013-12, Universite de Montreal, Departement de sciences economiques.
  7. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson, 2012. "(Minimally) ?-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 04-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Maus,Stefan & Peters,Hans & Storcken,Ton, 2005. "Anonymous voting and minimal manipulability," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  9. Mostapha Diss, 2013. "Strategic manipulability of self-­selective social choice rules," Working Papers halshs-00785366, HAL.

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