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Minimal manipulability: unanimity and non-dictatorship

Author

Listed:
  • Maus, S.

    (Quantitative Economics)

  • Peters, H.J.M.

    (Quantitative Economics)

  • Storcken, A.J.A.

    (Quantitative Economics)

Abstract

This paper is concerned with the number of profiles at which a nondictatorial social choice function is manipulable. For three or more alternatives the lower bound is derived when the social choice function is nondictatorial and unanimous. In the case of three alternatives the lower bound is also derived when the social choice function is nondictatorial and surjective. In both cases all social choice functions reaching that lower bound are characterized when there are at least three agents. In the case of two agents the characterized social choice functions are only a subset of the set of all social choice functions reaching the minimum.
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Suggested Citation

  • Maus, S. & Peters, H.J.M. & Storcken, A.J.A., 2004. "Minimal manipulability: unanimity and non-dictatorship," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2004006
    DOI: 10.26481/umamet.2004006
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    Cited by:

    1. Hans Peters & Souvik Roy & Ton Storcken, 2012. "On the manipulability of approval voting and related scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 399-429, July.
    2. Lok, R.B. & Romero Morales, D. & Vermeulen, A.J., 2005. "The agents-are-substitutes property in continuous generalized assignment problems," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Donald Campbell & Jerry Kelly, 2009. "Gains from manipulating social choice rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 349-371, September.
    4. Bednay, Dezső & Moskalenko, Anna & Tasnádi, Attila, 2019. "Dictatorship versus manipulability," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 72-76.
    5. Maus, Stefan & Peters, Hans & Storcken, Ton, 2007. "Anonymous voting and minimal manipulability," Journal of Economic Theory, Elsevier, vol. 135(1), pages 533-544, July.
    6. Pritchard, Geoffrey & Wilson, Mark C., 2009. "Asymptotics of the minimum manipulating coalition size for positional voting rules under impartial culture behaviour," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 35-57, July.
    7. Stefan Maus & Hans Peters & Ton Storcken, 2007. "Minimal manipulability: anonymity and unanimity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 247-269, September.

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