Threshold strategy-proofness: on manipulability in large voting problems
Abstract
In voting problems where agents have well behaved (Lipschitz continuous) utility functions on a multidimensional space of alternatives, a voting rule is threshold strategy-proof if any agent can only obtain a limited utility gain by not voting for a most preferred alternative,given that the number of agents is large enough. For anonymous voting rules it is shown that this condition is not only implied by but in fact equivalent to the influence of any single agent reducing to zero as the number of agents grows. If there are at least five agents, the mean rule (taking the average vote) is shown to be the unique anonymous and unanimous voting rule that meets a lower bound with respect to the number of agents needed to obtain threshold strategy-proofness.(This abstract was borrowed from another version of this item.)
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Paper provided by Maastricht University in its series Open Access publications from Maastricht University with number urn:nbn:nl:ui:27-12233.Length:
Date of creation: 2004
Date of revision:
Publication status: Published in Games and economic behavior (2004) v.49, p.103-116
Handle: RePEc:ner:maastr:urn:nbn:nl:ui:27-12233
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Related research
Keywords:Other versions of this item:
- Ehlers, Lars & Peters, Hans & Storcken, Ton, 2004. "Threshold strategy-proofness: on manipulability in large voting problems," Games and Economic Behavior, Elsevier, vol. 49(1), pages 103-116, October.
- Ehlers,L. & Peters,Hans & Storcken,Ton, 2000. "Threshold Strategy-Proofness: On Manipulability in Large Voting Problems," Research Memoranda 038, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Maus,Stefan & Peters,Hans & Storcken,Ton, 2005.
"Anonymous voting and minimal manipulability,"
Research Memoranda
009, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Maus, Stefan & Peters, Hans & Storcken, Ton, 2007. "Anonymous voting and minimal manipulability," Journal of Economic Theory, Elsevier, vol. 135(1), pages 533-544, July.
- Donald Campbell & Jerry Kelly, 2009. "Gains from manipulating social choice rules," Economic Theory, Springer, vol. 40(3), pages 349-371, September.
- Régis Renault & Alain Trannoy, 2011. "Assessing the extent of strategic manipulation: the average vote example," SERIEs, Spanish Economic Association, vol. 2(4), pages 497-513, December.
- Marchese, Carla & Montefiori, Marcello, 2011. "Strategy versus sincerity in mean voting," Journal of Economic Psychology, Elsevier, vol. 32(1), pages 93-102, February.
- Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.
- Salvador Barberà, 2010.
"Strategy-proof social choice,"
Working Papers
420, Barcelona Graduate School of Economics.
- Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Marchese, Carla & Montefiori, Marcello, 2005. "Mean voting rule and strategical behavior: an experiment," POLIS Working Papers 49, Institute of Public Policy and Public Choice - POLIS.
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