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Frequency Based Analysis of Voting Rules

Author

Listed:
  • Chatterjee, Swarnendu

    (QE Math. Economics & Game Theory, RS: GSBE ETBC)

  • Storcken, Ton

    (QE Math. Economics & Game Theory, RS: GSBE ETBC)

Abstract

In a large electorate it is natural to consider voters’ preference profiles as frequency distributions over the set of all possible preferences. We assume coherence in voters’ preferences resulting in accumulation of voters preferences. We show that such distributions can be studied via superpositions of simpler so called unimodal distributions. At these, it is shown that all well-known rules choose the mode as the outcome. We provide a set of sufficient conditions for a rule to have this trait of choosing the mode under unimodal distributions. Further we show that Condorcet consistent rules, Borda rule, plurality rule are robust under tail-perturbations of unimodal distributions.

Suggested Citation

  • Chatterjee, Swarnendu & Storcken, Ton, 2017. "Frequency Based Analysis of Voting Rules," Research Memorandum 006, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2017006
    DOI: 10.26481/umagsb.2017006
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    References listed on IDEAS

    as
    1. Gillett, Raphael, 1978. "A recursion relation for the probability of the paradox of voting," Journal of Economic Theory, Elsevier, vol. 18(2), pages 318-327, August.
    2. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.
    3. Ilia Tsetlin & Michel Regenwetter & Bernard Grofman, 2003. "The impartial culture maximizes the probability of majority cycles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 387-398, December.
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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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