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Anonymous voting and minimal manipulability

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  • Maus, Stefan
  • Peters, Hans
  • Storcken, Ton

Abstract

We compare the manipulability of different choice rules by considering the number of manipulable profiles. We establish the minimal number of such profiles for tops-only, anonymous, and surjective choice rules, and show that this number is attained by unanimity rules with status quo.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 135 (2007)
Issue (Month): 1 (July)
Pages: 533-544

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Handle: RePEc:eee:jetheo:v:135:y:2007:i:1:p:533-544

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Stefan Maus & Hans Peters & Ton Storcken, 2007. "Minimal manipulability: anonymity and unanimity," Social Choice and Welfare, Springer, vol. 29(2), pages 247-269, September.
  2. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  3. Pattanaik, Prasanta K, 1976. "Counter-threats and Strategic Manipulation under Voting Schemes," Review of Economic Studies, Wiley Blackwell, vol. 43(1), pages 11-18, February.
  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.
  5. Maus,Stefan & Peters,Hans & Storcken,Ton, 2004. "Minimal manipulability: Unanimity and Nondictatorship," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Kim, K.H. & Roush, F.W., 1984. "Nonmanipulability in two dimensions," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 29-43, August.
  7. Dutta, Bhaskar, 1980. "Strategic Voting in a Probabilistic Framework," Econometrica, Econometric Society, vol. 48(2), pages 447-56, March.
  8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  9. 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).
  10. Gibbard, Allan, 1978. "Straightforwardness of Game Forms with Lotteries as Outcomes," Econometrica, Econometric Society, vol. 46(3), pages 595-614, May.
  11. Pattanaik, Prasanta K, 1976. "Threats, Counter-Threats, and Strategic Voting," Econometrica, Econometric Society, vol. 44(1), pages 91-103, January.
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Cited by:
  1. 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.
  2. Maus,Stefan & Peters,Hans & Storcken,Ton, 2004. "Minimal Manipulability: Anonymity and Unanimity," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Cahiers de recherche 18-2010, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
  4. 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.
  5. 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 ├ęconomie quantitative, CIREQ.

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