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Weighted Voting

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The Mathematics of Elections and Voting
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Abstract

Most elections involve electorates sufficiently large that ties are extremely unlikely. However, some situations, particularly committees, involve small numbers of voters. In this chapter we shall discuss some of these cases.

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References

  1. Banzhaf, J.F.: Weighted voting doesn’t work: a mathematical analysis. Rutgers Law Rev. 19, 317–343 (1965)

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  3. http://history.house.gov/Institution/Presidential-Vetoes/Presidential-Vetoes/

  4. http://www.ohrt.com/odds/binomial.php

  5. Penrose, L.: The elementary statistics of majority voting. J. R. Stat. Soc. 109, 53–57 (1946)

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  6. http://www.rapidtables.com/calc/math/Factorial_Calculator.htm

  7. Shapley, L.S., Shubik, R.: A method for evaluating the distribution of power in a committee system. Am. Pol. Sci. Rev. 48, 787–792 (1954)

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© 2014 Springer International Publishing Switzerland

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Wallis, W.D. (2014). Weighted Voting. In: The Mathematics of Elections and Voting. Springer, Cham. https://doi.org/10.1007/978-3-319-09810-4_8

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