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A generalized representation theorem for Harsanyi’s (‘impartial’) observer

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  • Simon Grant
  • Atsushi Kajii
  • Ben Polak
  • Zvi Safra

Abstract

We provide an axiomatization of an additively separable social welfare function in the context of Harsanyi’s impartial observer theorem. To do this, we reformulate Harsanyi’s setting to make the lotteries over the identities the observer may assume independent of the social alternative. Copyright Springer-Verlag 2012

Suggested Citation

  • Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2012. "A generalized representation theorem for Harsanyi’s (‘impartial’) observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 833-846, October.
    • Handle: RePEc:spr:sochwe:v:39:y:2012:i:4:p:833-846
    DOI: 10.1007/s00355-011-0563-0
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    References listed on IDEAS

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    1. Karni, Edi & Safra, Zvi, 2000. "An extension of a theorem of von Neumann and Morgenstern with an application to social choice theory," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 315-327, November.
    2. Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2010. "Generalized Utilitarianism and Harsanyi's Impartial Observer Theorem," Econometrica, Econometric Society, vol. 78(6), pages 1939-1971, November.
    3. Mongin, Philippe, 2001. "The impartial observer theorem of social ethics," Economics and Philosophy, Cambridge University Press, vol. 17(2), pages 147-179, October.
    4. Zvi Safra & Einat Weissengrin, 2003. "Harsanyi's impartial observer theorem with a restricted domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 177-187, March.
    5. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    6. Ergin, Haluk & Gul, Faruk, 2009. "A theory of subjective compound lotteries," Journal of Economic Theory, Elsevier, vol. 144(3), pages 899-929, May.
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    Cited by:

    1. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
    2. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 5-40, February.
    3. Sinong Ma & Zvi Safra, 2019. "Fairness and utilitarianism without independence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 29-52, February.
    4. Ma, Sinong & Safra, Zvi, 2016. "Fairness and Utilitarianism without Independence," CRETA Online Discussion Paper Series 20, Centre for Research in Economic Theory and its Applications CRETA.

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