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Harsanyi’s Utilitarian Theorem: A Simpler Proof and Some Ethical Connotations

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Rational Interaction

Abstract

Harsanyi’s utilitarian theorem states that the social welfare function is the weighted sum of individuals’ utility functions if: (i) society maximizes expected social welfare; (ii) individuals maximize expected utility; (iii) society is indifferent between two probability distributions over social states whenever all individuals are. After giving a simpler proof, an alternative axiomatic foundation for Vickrey-Harsanyi utilitarianism is provided. By making using an extended version of Harsanyi’s concept of a player’s “type” in the theory of games with incomplete information, the problem of forming social objectives when there is incomplete information can also be resolved, at least in principle.

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© 1992 Springer-Verlag Berlin Heidelberg

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Hammond, P.J. (1992). Harsanyi’s Utilitarian Theorem: A Simpler Proof and Some Ethical Connotations. In: Selten, R. (eds) Rational Interaction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09664-2_17

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  • DOI: https://doi.org/10.1007/978-3-662-09664-2_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08136-1

  • Online ISBN: 978-3-662-09664-2

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