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Impossibility theorems are modified and unified

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  • Uuganbaatar Ninjbat

Abstract

Arrow’s impossibility theorem and the Muller–Satterthwaite theorem are further interconnected by showing that translating one result into the other’s setting leads to similar results. This approach generated more impossibility theorems which are interesting on their own. Moreover, an implication of having these impossibility results on a unifying impossibility theorem in Eliaz (Soc Choice Welf 22:317–330, 2004 ) is also discussed. Copyright Springer-Verlag Berlin Heidelberg 2015

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  • Uuganbaatar Ninjbat, 2015. "Impossibility theorems are modified and unified," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 849-866, December.
    • Handle: RePEc:spr:sochwe:v:45:y:2015:i:4:p:849-866
    DOI: 10.1007/s00355-015-0887-2
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    Cited by:

    1. Susumu Cato, 2019. "The possibility of Paretian anonymous decision-making with an infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 587-601, December.
    2. Uuganbaatar Ninjbat, 2018. "Impossibility theorems with countably many individuals," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(3), pages 333-350, August.
    3. Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.

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