Public Choice

, Volume 42, Issue 3, pp 257–272 | Cite as

Are qualified majority rules special?

  • Shmuel Nitzan
  • Jacob Paroush


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.


Decision Rule Public Finance Majority Rule Individual Preference Correct Decision 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Black, D. (1958). The theory of committees and elections. London: Cambridge University Press.Google Scholar
  2. Condorcet, N.C. de (1986). Essai sur l'application de l'annalyse a la probabilité des décisions rendue à la pluralité des voix. Paris.Google Scholar
  3. Fishburn, P.C. (1973). The theory of social choice. Princeton: Princeton University Press.Google Scholar
  4. Fishburn, P.C., and Gehrlein, W.V. (1977). Towards a theory of elections with probabilistic preferences. Econometrica 45: 1907–1924.Google Scholar
  5. Grofman, B. (1978). Judgemental competence of individuals and groups in a dichotomous choice situation: Is a majority of heads better than one? Journal of Mathematical Sociology 6: 47–60.Google Scholar
  6. Kazmann, R. (1973). Democratic organization: A preliminary mathematical model. Public Choice 16: 17–26.Google Scholar
  7. Rae, D.W. (1969). Decision rules and individual values in constitutional choice. American Political Science Review 63: 40–63.Google Scholar
  8. Schofield, N.J. (1972). Is majority rule special? In R.G. Niemi and H.F. Weisberg (Eds.), Probability models of collective decision making. Columbus, Ohio: Merill.Google Scholar
  9. Sen, A.K. (1970). Collective choice and social welfare. San Francisco: Holden Day.Google Scholar
  10. Straffin Jr., P.D. (1977). Majority rule and general decision rules. Theory and Decision 8: 351–360.Google Scholar

Copyright information

© Martinus Nijhoff Publishers 1984

Authors and Affiliations

  • Shmuel Nitzan
    • 1
  • Jacob Paroush
    • 2
  1. 1.Department of EconomicsThe Hebrew University of JerusalemIsrael
  2. 2.Department of EconomicsBar Ilan UniversityRamat Gan

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