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Conditioning and Aggregation of Preferences

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  • Costis Skiadas

Abstract

This paper develops a general framework for modeling choice under uncertainty that extends subjective expected utility to include nonseparabilities, state-dependence, and the effect of subjective or ill defined consequences. This is accomplished by not including consequences among the formal primitives. Instead, the effect of consequences is modeled indirectly, through conditional preferences over acts. The main results concern the aggregation of conditional utilities to form an unconditional utility, including the case of additive aggregation. Applications, obtained by further specifying the structure of acts and conditional preferences, include disappointment, regret, and the subjective value of information.

Suggested Citation

  • Costis Skiadas, 1997. "Conditioning and Aggregation of Preferences," Econometrica, Econometric Society, vol. 65(2), pages 347-368, March.
  • Handle: RePEc:ecm:emetrp:v:65:y:1997:i:2:p:347-368
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    Cited by:

    1. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 193-232, August.
    2. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    3. Peter Klibanoff & Emre Ozdenoren, 2007. "Subjective recursive expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 49-87, January.
    4. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
    5. Grant, Simon & Kajii, Atsushi & Polak, Ben, 2001. "Different notions of disappointment aversion," Economics Letters, Elsevier, vol. 70(2), pages 203-208, February.
    6. Jürgen Eichberger & Simon Grant & David Kelsey, 2016. "Randomization and dynamic consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 547-566, August.
    7. Qin, Jie, 2015. "A model of regret, investor behavior, and market turbulence," Journal of Economic Theory, Elsevier, vol. 160(C), pages 150-174.
    8. Samuel Drapeau & Asgar Jamneshan, 2014. "Conditional Preference Orders and their Numerical Representations," Papers 1410.5466, arXiv.org, revised Jan 2016.
    9. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    10. repec:kap:jrefec:v:56:y:2018:i:2:d:10.1007_s11146-016-9593-9 is not listed on IDEAS
    11. Grant, Simon & Kajii, Atsushi & Polak, Ben, 2000. "Decomposable Choice under Uncertainty," Journal of Economic Theory, Elsevier, vol. 92(2), pages 169-197, June.
    12. Karni, Edi, 2006. "Subjective expected utility theory without states of the world," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 325-342, June.
    13. Edi Karni, 2007. "Bayesian Decision Theory and the Representation of Beliefs," Discussion Paper Series dp444, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    14. Drapeau, Samuel & Jamneshan, Asgar, 2016. "Conditional preference orders and their numerical representations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 106-118.
    15. Takashi Hayashi, 2012. "Expanding state space and extension of beliefs," Theory and Decision, Springer, vol. 73(4), pages 591-604, October.
    16. Karni, Edi, 2007. "Foundations of Bayesian theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 167-188, January.
    17. Skiadas, Costis, 1997. "Subjective Probability under Additive Aggregation of Conditional Preferences," Journal of Economic Theory, Elsevier, vol. 76(2), pages 242-271, October.
    18. Kraus, Alan & Sagi, Jacob S., 2006. "Asset pricing with unforeseen contingencies," Journal of Financial Economics, Elsevier, vol. 82(2), pages 417-453, November.
    19. Carlos Laciana & Elke Weber, 2008. "Correcting expected utility for comparisons between alternative outcomes: A unified parameterization of regret and disappointment," Journal of Risk and Uncertainty, Springer, vol. 36(1), pages 1-17, February.
    20. Simon Grant & Atsushi Kajii & Ben Polak, 1998. "On the Skiadas 'Conditional Preference Approach' to Choice Under Uncertainty," Cowles Foundation Discussion Papers 1178, Cowles Foundation for Research in Economics, Yale University.
    21. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance,in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742 Elsevier.

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