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Anonymous voting and minimal manipulability

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

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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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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  1. 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).
  2. Stefan Maus & Hans Peters & Ton Storcken, 2007. "Minimal manipulability: anonymity and unanimity," Social Choice and Welfare, Springer, vol. 29(2), pages 247-269, September.
  3. 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.
  4. 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).
  5. Pattanaik, Prasanta K, 1976. "Threats, Counter-Threats, and Strategic Voting," Econometrica, Econometric Society, vol. 44(1), pages 91-103, January.
  6. Kim, K.H. & Roush, F.W., 1984. "Nonmanipulability in two dimensions," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 29-43, August.
  7. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  8. Gibbard, Allan, 1978. "Straightforwardness of Game Forms with Lotteries as Outcomes," Econometrica, Econometric Society, vol. 46(3), pages 595-614, May.
  9. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  10. Dutta, Bhaskar, 1980. "Strategic Voting in a Probabilistic Framework," Econometrica, Econometric Society, vol. 48(2), pages 447-56, March.
  11. 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.
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