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Are qualified majority rules special?

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  • Shmuel Nitzan
  • Jacob Paroush

Abstract

This essay provides a formal justification for qualified majority rules. Specifically, within an uncertain dichotomous choice framework, in which individual preferences are identical but actual judgments may differ, special majority rules emerge as decision rules that maximize the probability of making correct decisions. The main result specifies the optimal special majority as a function of a priori bias in favor of the status quo, ability, and size of the decision-making body. The analysis of the relationships among these three variables in generating certain common qualified majority rules is then pursued. Copyright Martinus Nijhoff Publishers 1984

Suggested Citation

  • Shmuel Nitzan & Jacob Paroush, 1984. "Are qualified majority rules special?," Public Choice, Springer, vol. 42(3), pages 257-272, January.
    • Handle: RePEc:kap:pubcho:v:42:y:1984:i:3:p:257-272
    DOI: 10.1007/BF00124945
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    References listed on IDEAS

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    1. Rae, Douglas W., 1969. "Decision-Rules and Individual Values in Constitutional Choice," American Political Science Review, Cambridge University Press, vol. 63(1), pages 40-56, March.
    2. Raphael Kazmann, 1973. "Democratic organization: A preliminary mathematical model," Public Choice, Springer, vol. 16(1), pages 17-26, September.
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    Cited by:

    1. Christian List, 2002. "On the Significance of the Absolute Margin," Public Economics 0211004, University Library of Munich, Germany.
    2. Ben-Yashar, Ruth & Khuller, Samir & Kraus, Sarit, 2001. "Optimal collective dichotomous choice under partial order constraints," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 349-364, May.
    3. Vitaly Malyshev, 2021. "Optimal majority threshold in a stochastic environment," Group Decision and Negotiation, Springer, vol. 30(2), pages 427-446, April.
    4. Bryan C. McCannon & Paul Walker, 2016. "Endogenous competence and a limit to the Condorcet Jury Theorem," Public Choice, Springer, vol. 169(1), pages 1-18, October.
    5. Karotkin, Drora & Nitzan, Shmuel, 1995. "The effect of expansions and substitutions on group decision-making," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 263-271, December.
    6. Ben-Yashar, Ruth & Nitzan, Shmuel, 1998. "Quality and structure of organizational decision-making," Journal of Economic Behavior & Organization, Elsevier, vol. 36(4), pages 521-534, September.
    7. Roland Kirstein, "undated". "The Condorcet Jury-Theorem with Two Independent Error-Probabilities," German Working Papers in Law and Economics 2006-1-1154, Berkeley Electronic Press.
    8. Christian List, 2003. "What is special about the proportion? A research report on special majority voting and the classical Condorcet jury theorem," Public Economics 0304004, University Library of Munich, Germany.
    9. Lloyd Shapley & Bernard Grofman, 1984. "Optimizing group judgmental accuracy in the presence of interdependencies," Public Choice, Springer, vol. 43(3), pages 329-343, January.
    10. Eyal Baharad & Ruth Ben-Yashar, 2009. "The robustness of the optimal weighted majority rule to probability distortion," Public Choice, Springer, vol. 139(1), pages 53-59, April.
    11. Andras Pete & David L. Kleinman & Krishna R. Pattipati, 1993. "Tasks and Organizations: A Signal Detection Model of Organizational Decision Making," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 2(4), pages 289-303, December.
    12. Peter Coughlin, 1989. "Economic policy advice and political preferences," Public Choice, Springer, vol. 61(3), pages 201-216, June.

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