Weighted Voting

A Mathematical Analysis for Instrumental Judgments

by W. H. Riker, Lloyd S. Shapley

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A mathematical analysis of weighted voting, designed to demonstrate the utility of such analysis for political philosophy. On the basis of the analysis, it is found that the mathematical approach demonstrates a complete reversal of judgment on the appropriateness of weighted voting for realizing a given conception of justice. Those whom the advocates of weighted voting claim as beneficiaries of the system appear to suffer most from it, while its supposed victims benefit.

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