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Utilitarian Theorems and Equivalence of Utility Theories

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  • Yuhki Hosoya

Abstract

In this paper, we consider an environment in which the utilitarian theorem for the NM utility function derived by Harsanyi and the utilitarian theorem for Alt's utility function derived by Harvey hold simultaneously, and prove that the NM utility function coincides with Alt's utility function under this setup. This result is so paradoxical that we must presume that at least one of the utilitarian theorems contains a strong assumption. We examine the assumptions one by one and conclude that one of Harsanyi's axioms is strong.

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  • Yuhki Hosoya, 2023. "Utilitarian Theorems and Equivalence of Utility Theories," Papers 2304.09973, arXiv.org, revised Sep 2023.
    • Handle: RePEc:arx:papers:2304.09973
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    File URL: http://arxiv.org/pdf/2304.09973
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    1. Hosoya, Yuhki, 2022. "An axiom for concavifiable preferences in view of Alt’s theory," Journal of Mathematical Economics, Elsevier, vol. 98(C).
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