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Maximin choice of voting rules for committees

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  • Danilo Coelho

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Abstract

In the context of a probabilistic voting model with dichotomous choice, we investigate the consequences of choosing among voting rules according to the maximin criterion. A voting rule is the minimum number of voters who vote favorably on a change from the status quo required for it to be adopted. We characterize the voting rules that satisfy the maximin criterion as a function of the distribution of voters’ probabilities to favor change from the status quo. We prove that there are at most two maximin voting rules, at least one is Pareto efficient and is often different to the simple majority rule. If a committee is formed only by “conservative voters” (i.e. voters who are more likely to prefer the status quo to change) then the maximin criterion recommends voting rules that require no more voters supporting change than the simple majority rule. If there are only “radical voters”, then this criterion recommends voting rules that require no less than half of the total number of votes. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Danilo Coelho, 2005. "Maximin choice of voting rules for committees," Economics of Governance, Springer, vol. 6(2), pages 159-175, July.
  • Handle: RePEc:spr:ecogov:v:6:y:2005:i:2:p:159-175
    DOI: 10.1007/s10101-004-0085-7
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    Citations

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    Cited by:

    1. Salvador Barberà, 2003. "Designing Decisions Rules for Transnational Infraestructure Projects," Working Papers 61, Barcelona Graduate School of Economics.
    2. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    3. Attanasi, Giuseppe & Corazzini, Luca & Passarelli, Francesco, 2017. "Voting as a lottery," Journal of Public Economics, Elsevier, vol. 146(C), pages 129-137.
    4. Salvador Barbera & Matthew O. Jackson, 2002. "Choosing How to Choose: Self Stable Majority Rules," Microeconomics 0211003, EconWPA.
    5. Claus Beisbart & Stephan Hartmann, 2010. "Welfarist evaluations of decision rules under interstate utility dependencies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(2), pages 315-344, February.
    6. Azrieli, Yaron & Kim, Semin, 2016. "On the self-(in)stability of weighted majority rules," Games and Economic Behavior, Elsevier, vol. 100(C), pages 376-389.
    7. Claus Beisbart & Luc Bovens, 2007. "Welfarist evaluations of decision rules for boards of representatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(4), pages 581-608, December.
    8. Salvador Barbera & Matthew O. Jackson, 2004. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 1011-1048.
    9. Danny Ben-Shahar & Eyal Sulganik, 2005. "Can Co-Owners Agree to Disagree? A Theoretical Examination of Voting Rules in Co-Ownerships," The Journal of Real Estate Finance and Economics, Springer, vol. 31(2), pages 207-223, September.
    10. repec:oup:qjecon:v:119:y:2004:i:3:p:1011-1048 is not listed on IDEAS

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    Keywords

    Maximin; voting; majority; committee;

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