Advanced Search
MyIDEAS: Login

A Single-Stage Approach to Anscombe and Aumann's Expected Utility

Contents:

Author Info

  • Sarin, R.
  • Wakker, P.P.

    (Tilburg University, Center for Economic Research)

Abstract

F. J. Anscombe and R. J. Aumann (1963) showed that, if one accepts the existence of a physical randomizing device such as a roulette wheel, then L. J. Savage's derivation of subjective expected utility can be considerably simplified. They, however, invoked compound gambles to define their axioms. The authors demonstrate that the subjective expected utility derivation can be further simplified and need not invoke compound gambles. Their simplification is obtained by closely following the steps by which probabilities and utilities are elicited. Copyright 1997 by The Review of Economic Studies Limited.

(This abstract was borrowed from another version of this item.)

Download Info

If 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.
File URL: http://arno.uvt.nl/show.cgi?fid=3402
Download Restriction: no

Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1996-45.

as in new window
Length:
Date of creation: 1996
Date of revision:
Handle: RePEc:dgr:kubcen:199645

Contact details of provider:
Web page: http://center.uvt.nl

Related research

Keywords: expected utility theory; decision analysis; revealed preference;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
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.:
as in new window
  1. Maxwell B. Stinchcombe, 1994. "Countably Additive Subjective Probabilities," CARE Working Papers 9403, The University of Texas at Austin, Center for Applied Research in Economics.
  2. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  3. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
  4. Green, Edward J & Osband, Kent, 1991. "A Revealed Preference Theory for Expected Utility," Review of Economic Studies, Wiley Blackwell, vol. 58(4), pages 677-96, July.
  5. 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.
  6. Uzi Segal, 2000. "Two Stage Lotteries Without the Reduction Axiom," Levine's Working Paper Archive 7599, David K. Levine.
  7. Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
  8. Loomes, Graham & Sugden, Robert, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 271-82, April.
  9. Quiggin, John, 1990. "Stochastic Dominance in Regret Theory," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 503-11, July.
  10. Karni, Edi, 1993. "A Definition of Subjective Probabilities with State-Dependent Preferences," Econometrica, Econometric Society, vol. 61(1), pages 187-98, January.
  11. Eichberger, J. & Kelsey, D., 1993. "Uncertainty Aversion and Dynamic Consistency," Discussion Papers 93-08, Department of Economics, University of Birmingham.
  12. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-72, November.
  13. Frederick Mosteller & Philip Nogee, 1951. "An Experimental Measurement of Utility," Journal of Political Economy, University of Chicago Press, vol. 59, pages 371.
  14. F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
  15. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
  16. R. Duncan Luce & Detlof von Winterfeldt, 1994. "What Common Ground Exists for Descriptive, Prescriptive, and Normative Utility Theories?," Management Science, INFORMS, vol. 40(2), pages 263-279, February.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Machina, Mark J, 2001. "Almost-Objective Uncertainty," University of California at San Diego, Economics Working Paper Series qt3ps1k85f, Department of Economics, UC San Diego.
  2. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2013. "Mixed Extensions of Decision Problems under Uncertainty," Working Papers 485, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  3. Vincent Feltkamp & Yoram Halevy, 2000. "A Bayesian Approach to Uncertainty Aversion," Econometric Society World Congress 2000 Contributed Papers 1125, Econometric Society.
  4. Francis C. Chu & Joseph Y. Halpern, 2004. "Great expectations. Part II: Generalized expected utility as a universal decision rule," Game Theory and Information 0411004, EconWPA.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:dgr:kubcen:199645. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman).

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.