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Voting Experiments: Measuring Vulnerability of Voting Procedures to Manipulation

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Abstract

A minimal reduction in strategic voter’s knowledge about other voters’ voting patterns severely limits her ability to strategically manipulate the voting outcome. In this paper I relax the implicit assumption made in the Gibbard-Satterthwaite’s impossibility theorem about strategic voter‘s complete information about all other voters’ preference profiles. Via a series of computation-based simulations I find that vulnerability to strategic voting is decreasing in the number of voters and increasing in the number of alternatives. Least vulnerable voting procedures are Condorcet-consistent procedures, followed by elimination procedures, while most prone to manipulation are the simplest rules. Strategic voting is vulnerable both to an absolute and relative reduction in amount of information.

Suggested Citation

  • Ján Palguta, 2011. "Voting Experiments: Measuring Vulnerability of Voting Procedures to Manipulation," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 5(3), pages 324-345, November.
    • Handle: RePEc:fau:aucocz:au2011_324
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    1. Carmelo Rodríguez-Álvarez, 2007. "On the manipulation of social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 175-199, September.
    2. Alvarez, R. Michael & Nagler, Jonathan, 2000. "A New Approach for Modelling Strategic Voting in Multiparty Elections," British Journal of Political Science, Cambridge University Press, vol. 30(01), pages 57-75, January.
    3. Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2005. "Corrigendum to "Strategy-proof social choice correspondences" [J. Econ. Theory 101 (2001) 374-394]," Journal of Economic Theory, Elsevier, vol. 120(2), pages 275-275, February.
    4. Jean-François Laslier, 2009. "In Silico Voting Experiments," Working Papers hal-00390376, HAL.
    5. repec:cup:apsrev:v:87:y:1993:i:01:p:102-114_09 is not listed on IDEAS
    6. Pattanaik, Prasanta K., 1973. "On the stability of sincere voting situations," Journal of Economic Theory, Elsevier, vol. 6(6), pages 558-574, December.
    7. Masashi Umezawa, 2009. "Coalitionally strategy-proof social choice correspondences and the Pareto rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 151-158, June.
    8. Conal Duddy & Juan Perote-Pena & Asjley Piggins, 2009. "Manipulating an ordering," Working Papers 0141, National University of Ireland Galway, Department of Economics, revised 2009.
    9. Aaron Edlin & Andrew Gelman & Noah Kaplan, 2007. "Voting as a Rational Choice: Why and How People Vote to Improve the Well-Being of Others," NBER Working Papers 13562, National Bureau of Economic Research, Inc.
    10. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    Keywords

    Voting; manipulation; information; computation-based simulations;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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