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A simple graphical proof of arrow's impossibility theorem

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  • John Fountain

Abstract

This paper uses a two-dimensional graphical technique to provide a constructive proof of Arrow's impossibility theorem. Students (and instructors) of intermediate microeconomics should have no problem in following the graphical proof developed here. The meaning of the condition of independence of irrelevant alternatives and its function in Arrow's theorem become transparent in this proof.

Suggested Citation

  • John Fountain, 2000. "A simple graphical proof of arrow's impossibility theorem," New Zealand Economic Papers, Taylor & Francis Journals, vol. 34(1), pages 89-110.
    • Handle: RePEc:taf:nzecpp:v:34:y:2000:i:1:p:89-110
    DOI: 10.1080/00779950009544317
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    References listed on IDEAS

    as
    1. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    2. John Fountain, 1984. "A Production Theory Perspective on Collective Choice Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(4), pages 673-691.
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    Cited by:

    1. Paul Hansen, 2002. "Another Graphical Proof of Arrow's Impossibility Theorem," The Journal of Economic Education, Taylor & Francis Journals, vol. 33(3), pages 217-235, September.

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