A Theory of Bayesian Decision Making
AbstractThis paper presents a complete, choice-based, axiomatic Bayesian decision theory. It introduces a new choice set consisting of information-contingent plans for choosing actions and bets and subjective expected utility model with effect-dependent utility functions and action-dependent subjective probabilities which, in conjunction with the updating of the probabilities using Bayes' rule, gives rise to a unique prior and a set of action-dependent posterior probabilities representing the decision maker's prior and posterior beliefs.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 550.
Date of creation: May 2009
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-05-23 (All new papers)
- NEP-GTH-2009-05-23 (Game Theory)
- NEP-HPE-2009-05-23 (History & Philosophy of Economics)
- NEP-UPT-2009-05-23 (Utility Models & Prospect Theory)
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.:
- Machina Mark J. & Schmeidler David, 1995.
"Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice,"
Journal of Economic Theory,
Elsevier, vol. 67(1), pages 106-128, October.
- Mark J. Machina & David Schmeidler, 1994. "Bayes Without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Discussion Papers 1088, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Karni, Edi, 2006.
"Subjective expected utility theory without states of the world,"
Journal of Mathematical Economics,
Elsevier, vol. 42(3), pages 325-342, June.
- Edi Karni, 2005. "Subjective Expected Utility Theory without States of the World," Economics Working Paper Archive 523, The Johns Hopkins University,Department of Economics.
- Nau, Robert F, 1995. "Coherent Decision Analysis with Inseparable Probabilities and Utilities," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 71-91, January.
- Karni, E. & Schmeidler, D., 1991.
"On the Uniqueness of Subjective Probabilities,"
1-92, Tel Aviv - the Sackler Institute of Economic Studies.
- Wakker, Peter, 1987. "Subjective probabilities for state dependent continuous utility," Mathematical Social Sciences, Elsevier, vol. 14(3), pages 289-298, December.
- Machina,Mark & Schmeidler,David, 1991.
"A more robust definition of subjective probability,"
Discussion Paper Serie A
365, University of Bonn, Germany.
- Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-80, July.
- Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
- Brian, HILL, 2007.
"An additively separable representation in the Savage framework,"
Les Cahiers de Recherche
882, HEC Paris.
- Hill, Brian, 2010. "An additively separable representation in the Savage framework," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2044-2054, September.
- Karni, Edi, 1996. "Probabilities and Beliefs," Journal of Risk and Uncertainty, Springer, vol. 13(3), pages 249-62, November.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Boqun Wang).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.