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A Simplified Proof of an Impossibility Theorem

Published online by Cambridge University Press:  14 March 2022

Alfred F. Mackay
Alfred F. Mackay*
Affiliation:
Oberlin College
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Abstract

In this paper I prove a theorem which is similar to Arrow's famous impossibility theorem. I show that no social welfare function can be both minimally majoritarian and also independent of irrelevant alternatives. My condition of minimal majoritarianism is substantially weaker than simple majority rule.

Type
Research Article
Information
Philosophy of Science , Volume 40 , Issue 2 , June 1973 , pp. 175 - 177
Copyright
Copyright © 1973 by The Philosophy of Science Association

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References

REFERENCES

[1] Arrow, K. J. Social Choice and Individual Values. 2nd ed. New York: John Wiley & Sons, 1963.Google Scholar
[2] Black, D. The Theory of Committees and Elections. Cambridge: Cambridge University Press, 1958.Google Scholar