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Arrow, and unexpected consequences of his theorem

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  • Donald G. Saari

    (University of California)

Abstract

A new way to interpret Arrow’s impossibility theorem leads to valued insights that extend beyond voting and social choice to address other mysteries ranging from the social sciences to even the “dark matter” puzzle of astronomy.

Suggested Citation

  • Donald G. Saari, 2019. "Arrow, and unexpected consequences of his theorem," Public Choice, Springer, vol. 179(1), pages 133-144, April.
    • Handle: RePEc:kap:pubcho:v:179:y:2019:i:1:d:10.1007_s11127-018-0531-7
    DOI: 10.1007/s11127-018-0531-7
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    References listed on IDEAS

    as
    1. Saari, Donald G., 2014. "Unifying voting theory from Nakamura’s to Greenberg’s theorems," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 1-11.
    2. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    3. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163.
    4. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521731607.
    5. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046.
    6. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521516051.
    7. Donald G. Saari, 2014. "A New Way to Analyze Paired Comparison Rules," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 647-655, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Donald G. Saari, 2023. "Selecting a voting method: the case for the Borda count," Constitutional Political Economy, Springer, vol. 34(3), pages 357-366, September.

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