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Evaluation of a Presidential Election Game

Published online by Cambridge University Press:  01 August 2014

Guillermo Owen
Guillermo Owen*
Affiliation:
Rice University
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Abstract

The Shapley value of the presidential election “game” is approximated by the method of multilinear extensions; the likely error in this approximation is computed by studying the error in the electoral college game. A comparison with the Banzhaf ratio is also given. The several biases inherent in the electoral system are analyzed from a mathematical point of view. It is shown that the system incorporates a strong bias in favor of the larger states, and a small bias in favor of the smallest states.

Type
Research Article
Information
American Political Science Review , Volume 69 , Issue 3 , September 1975 , pp. 947 - 953
Copyright
Copyright © American Political Science Association 1975

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References

Additional Bibliography

Banzhaf, John F. III, “Weighted Voting Doesn't Work: A Mathematical Analysis,” Rutgers Law Review, 19 (1965), 317–343.Google Scholar
Lucas, William F., “Measuring Power in Weighted Voting Systems,” unpublished manuscript, Cornell University, Center for Applied Mathematics, 10 1973.Google Scholar
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