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A Note on “An Axiomatic Model of Voting Bodies”

Published online by Cambridge University Press:  01 August 2014

Lawrence S. Mayer
Lawrence S. Mayer*
Affiliation:
Ohio State University
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Extract

Brams and O'Leary (this Review, 64 [June 1970], pp. 449–470) generate a model of the behavior of a voting body by first applying a simple combinatorial argument to the results of voting on a single issue and then extending this model by assuming voting behavior is independent across issues. In this note we show that their argument can be extended to cover voting across issues without relying on the assumption of independence. This alternative approach gives insight into the Brams and O'Leary model and strengthens their results by making several of their indices exact instead of approximate. Thus if the modification proposed in this note is used, the indices proposed by Brains and O'Leary can be used empirically without worrying about independence.

Type
Articles
Information
American Political Science Review , Volume 65 , Issue 3 , September 1971 , pp. 764 - 765
Copyright
Copyright © American Political Science Association 1971

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References

1 Note that it is not correct to talk about independence of probabilities since probabilities are merely numbers. The authors should talk about the independence of events, random variables, or sigma fields.

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