Power and Satisfaction in an Ideologically Divided Voting Body

  • P. D. StraffinJr.
  • M. D. Davis
  • S. J. Brams
Conference paper

Abstract

In a voting body making dichotomous (for or against) decisions under a specified decision rule, there are two questions which are important to an individual member concerned with evaluating his or her position in the body. We will phrase these questions in probabilistic terms.

Keywords

Assure Fami 

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References

  1. Banzhaf, J.F.: Weighted voting doesn’t work: a mathematical analysis. Rutgers Law Review 19, 1965, 317–343.Google Scholar
  2. Blair, D.H.: On a class of power measures for voting rules. University of Pennsylvania Department of Economics Discussion Paper #361, 1976.Google Scholar
  3. Brams, S.J.: Game Theory and Politics. New York 1975.Google Scholar
  4. Brams, S.J., and M. Lake: Power and satisfaction in a representative democracy. Game Theory and Political Science. Ed. by P.C. Ordeshook. New York 1978, 529–562.Google Scholar
  5. Dahl, R.A., and E.R. Tufte: Size and Democracy. Stanford 1973.Google Scholar
  6. Dubey, P., and L.S. Shapley: Mathematical properties of the Banzhaf power index. Rand Paper P-6016. Santa Monica 1977.Google Scholar
  7. Imrie, R.W.: The impact of the weighted vote on representation in municipal governing bodies of New York State. Annals of the New York Academy of Sciences 219, 1973, 192–199.CrossRefGoogle Scholar
  8. Lucas, W.F.: Measuring power in weighted voting systems. Case Studies in Applied Mathematics. Mathematical Assoc. of America, 1976, 42–106.Google Scholar
  9. Rae, D.: Decision rules and individual values in constitutional choice, American Political Science Review 63, 1969, 40–56.CrossRefGoogle Scholar
  10. Riker, W.H., and P.C. Ordeshook: An Introduction to Positive Political Theory. Englewood Cliffs 1973.Google Scholar
  11. Shapley, L.S.: Simple games: an outline of the descriptive theory. Behavioral Science 7, 1962, 59–66.CrossRefGoogle Scholar
  12. Shapley, L.S.: A comparison of power indices and a non-symmetric generalization. Rand Paper P-5872. Santa Monica 1977.Google Scholar
  13. Shapley, L.S., and M. Shubik: A method for evaluating the distribution of power in a committee system. American Political Science Review 48, 1954, 787–792.CrossRefGoogle Scholar
  14. Straffin, P.D.: Power Indices in Politics. Modules in Applied Mathematics. Mathematical Assoc. of America. Cornell University 1976.Google Scholar
  15. Straffin, P.D.: Homogeneity, independence and power indices. Public Choice 30, 1977a, 107–118.CrossRefGoogle Scholar
  16. Straffin, P.D.: Majority rule and general decision rules. Theory and Decision 8, 1977b, 351–360.CrossRefGoogle Scholar
  17. Straffin, P.D.: Probability models for power indices. Game Theory and Political Science. Ed. by P.C. Ordeshook. New York 1978, 477–510.Google Scholar

Copyright information

© Physica-Verlag, Würzburg (Germany) 1981

Authors and Affiliations

  • P. D. StraffinJr.
    • 1
  • M. D. Davis
    • 2
  • S. J. Brams
    • 2
  1. 1.BeloitUSA
  2. 2.New YorkUSA

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