Threshold Strategy-Proofness: On Manipulability in Large Voting Problems
AbstractIn 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.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 038.
Date of creation: 2000
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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, Lars & Peters, Hans & Storcken, Ton, 2004. "Threshold strategy-proofness: on manipulability in large voting problems," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12233, Maastricht University.
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- Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-27, January.
- James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Jose M. Cordoba & Peter J. Hammond, 1998.
"Asymptotically Strategy-Proof Walrasian Exchange,"
98005, Stanford University, Department of Economics.
- Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-92, November.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- Pazner, Elisha A & Wesley, Eugene, 1978. "Cheatproofness Properties of the Plurality Rule in Large Societies," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 85-91, February.
- R. J. Gary-Bobo & T. Jaaidane, 1996.
"Polling mechanisms and the demand revelation problem,"
THEMA Working Papers
96-31, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Gary-Bobo, Robert J. & Jaaidane, Touria, 2000. "Polling mechanisms and the demand revelation problem," Journal of Public Economics, Elsevier, vol. 76(2), pages 203-238, May.
- Zhou, Lin, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 107-19, January.
- Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
- 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.
- Salvador Barberà, 2010.
"Strategy-proof social choice,"
420, Barcelona Graduate School of Economics.
- Maus, Stefan & Peters, Hans & Storcken, Ton, 2007.
"Anonymous voting and minimal manipulability,"
Journal of Economic Theory,
Elsevier, vol. 135(1), pages 533-544, July.
- 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.
- Donald Campbell & Jerry Kelly, 2009. "Gains from manipulating social choice rules," Economic Theory, Springer, vol. 40(3), pages 349-371, September.
- Carla Marchese & Marcello Montefiori, 2008. "Voting the public expenditure: an experiment," Labsi Experimental Economics Laboratory University of Siena 020, University of Siena.
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