An additively separable representation in the Savage framework
AbstractThis paper proposes necessary and sufficient conditions for an additively separable representation of preferences in the Savage framework (where the objects of choice are acts: measurable functions from an infinite set of states to a potentially finite set of consequences). A preference relation over acts is represented by the integral over the subset of the product of the state space and the consequence space which corresponds to the act, where this integral is calculated with respect to an evaluation measure on this space. The result requires neither Savage's P3 (monotonicity) nor his P4 (weak comparative probability). Nevertheless, the representation it provides is as useful as Savage's for many economic applications.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 145 (2010)
Issue (Month): 5 (September)
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Web page: http://www.elsevier.com/locate/inca/622869
Expected utility Additive representation State-dependent utility Monotonicity;
Other versions of this item:
- Brian, HILL, 2007. "An additively separable representation in the Savage framework," Les Cahiers de Recherche 882, HEC Paris.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mohammed Abdellaoui & Peter Wakker, 2005. "The Likelihood Method for Decision under Uncertainty," Theory and Decision, Springer, vol. 58(1), pages 3-76, 02.
- Karni Edi, 1993. "Subjective Expected Utility Theory with State-Dependent Preferences," Journal of Economic Theory, Elsevier, vol. 60(2), pages 428-438, August.
- Karni, Edi, 1996. "Probabilities and Beliefs," Journal of Risk and Uncertainty, Springer, vol. 13(3), pages 249-62, November.
- Karni, E. & Mongin, P., 1997.
"On the Determination of Subjective Probability by Choices,"
9737, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Edi Karni & Philippe Mongin, 2000. "On the Determination of Subjective Probability by Choices," Management Science, INFORMS, vol. 46(2), pages 233-248, February.
- E. Karni & Ph. Mongin, 1997. "On the determination of subjective probability by choices," THEMA Working Papers 97-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Hill, Brian, 2009.
"When is there state independence?,"
Journal of Economic Theory,
Elsevier, vol. 144(3), pages 1119-1134, May.
- Erio Castagnoli & Marco LiCalzi, 2005.
"Benchmarking real-valued acts,"
- Karni, E. & Schmeidler, D., 1991.
"On the Uniqueness of Subjective Probabilities,"
1-92, Tel Aviv - the Sackler Institute of Economic Studies.
- Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
- Karni, Edi & Schmeidler, David & Vind, Karl, 1983. "On State Dependent Preferences and Subjective Probabilities," Econometrica, Econometric Society, vol. 51(4), pages 1021-31, July.
- Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
- Edi Karni, 2009. "A Theory of Bayesian Decision Making," Economics Working Paper Archive 550, The Johns Hopkins University,Department of Economics.
- Edi Karni, 2009. "A Theory of Bayesian Decision Making," EIEF Working Papers Series 0904, Einaudi Institute for Economics and Finance (EIEF), revised May 2009.
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