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Symmetry vs. complexity in proving the Muller-Satterthwaite theorem

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  • Uuganbaatar Ninjbat

    (Department of Economics, Stockholm School of Economics)

Abstract

In this short note, we first provide two rather straightforward proofs for the Muller - Satterthwaite theorem in the baseline cases of 2 person 3 alternatives, and 2 person n ≥ 3 alternatives. We also show that it suffices to prove the result in the special case of 3 alternatives (with arbitrary N individuals) as it then can easily be extended to the general case. We then prove the result in the decisive case of 3 alternatives (with arbitrary N individuals) by induction on N.

Suggested Citation

  • Uuganbaatar Ninjbat, 2012. "Symmetry vs. complexity in proving the Muller-Satterthwaite theorem," Economics Bulletin, AccessEcon, vol. 32(2), pages 1434-1441.
    • Handle: RePEc:ebl:ecbull:eb-11-00813
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    File URL: http://www.accessecon.com/Pubs/EB/2012/Volume32/EB-12-V32-I2-P137.pdf
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    References listed on IDEAS

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    Cited by:

    1. Ninjbat, Uuganbaatar, 2018. "A Missing Proof Of The Gibbard-Satterthwaite Theorem," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 59(1), pages 1-8, June.

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    More about this item

    Keywords

    the Muller-Satterthwaite Theorem; Monotone social choice functions;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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