Continuity and completeness under risk
Suppose some non-degenerate preferences R, with strict part P, over risky outcomes satisfy Independence. Then, when they satisfy any two of the following axioms, they satisfy the third. Herstein-Milnor: for all lotteries p,q,r, the set of a's for which ap+(1-a)qRr is closed. Archimedean: for all p,q,r there exists a>0 such that if pPq, then ap+(1-a)rPq. Complete: for all p,q, either pRq or qRp.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
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.:
- Karni, Edi, 2007. "Archimedean and continuity," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 332-334, May.
- Juan Dubra & Fabio Maacheroni & Efe A. Ok, 2001.
"Expected Utility Theory without the Completeness Axiom,"
Cowles Foundation Discussion Papers
1294, Cowles Foundation for Research in Economics, Yale University.
- Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
- Juan Dubra & Fabio Maccheroni & Efe Oki, 2001. "Expected utility theory without the completeness axiom," ICER Working Papers - Applied Mathematics Series 11-2001, ICER - International Centre for Economic Research.
- SCHMEIDLER, David, .
"A condition for the completeness of partial preference relations,"
CORE Discussion Papers RP
86, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Schmeidler, David, 1971. "A Condition for the Completeness of Partial Preference Relations," Econometrica, Econometric Society, vol. 39(2), pages 403-04, March.
When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:61:y:2011:i:1:p:80-81. 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: (Zhang, Lei)
If references are entirely missing, you can add them using this form.