Randomization vs. Selection: How to Choose in the Absence of Preference?
Decision makers sometimes have to choose between alternative options about which they have no preference: either they judge the options equally valuable (indifference) or they have no judgment about their relative value (noncomparability). Choosing randomly is generally considered a natural way to deal with such situations. This paper shows, however, that systematic randomization between noncomparable options may lead to a chain of decisions resulting in monetary losses (a money pump). Furthermore, these losses can be avoided by deliberately selecting one of the noncomparable options instead of randomizing. Thus, randomization among noncomparable options is costly relative to deliberate selection. On the other hand, randomization among indifferent options is costless relative to deliberate selection.
Volume (Year): 56 (2010)
Issue (Month): 3 (March)
|Contact details of provider:|| Postal: |
Web page: http://www.informs.org/
More information through EDIRC
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.:
- Enrico Diecidue, 2006. "Deriving Harsanyiâ€™s Utilitarianism from De Finettiâ€™s Book-Making Argument," Theory and Decision, Springer, vol. 61(4), pages 363-371, December.
- Leandro Nascimento & Gil Riella, 2009.
"A Class of Incomplete and Ambiguity Averse Preferences,"
Working Papers Series
180, Central Bank of Brazil, Research Department.
- Nascimento, Leandro & Riella, Gil, 2011. "A class of incomplete and ambiguity averse preferences," Journal of Economic Theory, Elsevier, vol. 146(2), pages 728-750, March.
- Dan Ariely & George Loewenstein & Drazen Prelec, 2003. ""Coherent Arbitrariness": Stable Demand Curves Without Stable Preferences," The Quarterly Journal of Economics, MIT Press, vol. 118(1), pages 73-105, February.
- Efe A. Ok & Pietro Ortoleva & Gil Riella, 2012. "Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes," Econometrica, Econometric Society, vol. 80(4), pages 1791-1808, 07.
- Mandler, Michael, 2005. "Incomplete preferences and rational intransitivity of choice," Games and Economic Behavior, Elsevier, vol. 50(2), pages 255-277, February.
- Tapki, Ipek Gursel, 2007. "Revealed incomplete preferences under status-quo bias," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 274-283, May.
- Fabio Maccheroni, 2000.
"Yaari dual theory without the completeness axiom,"
ICER Working Papers - Applied Mathematics Series
30-2001, ICER - International Centre for Economic Research, revised Oct 2001.
- Fabio Maccheroni, 2004. "Yaari's dual theory without the completeness axiom," Economic Theory, Springer, vol. 23(3), pages 701-714, March.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
- Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
- Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
- Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
- Juan Dubra & Efe A. Ok, 2002. "A Model of Procedural Decision Making in the Presence of Risk," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1053-1080, November.
- Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
- Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
- Paola Manzini & Marco Mariotti, 2003. "How vague can one be? Rational preferences without completeness or transitivity," Game Theory and Information 0312006, EconWPA, revised 16 Jul 2004.
When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:56:y:2010:i:3:p:503-518. 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: (Mirko Janc)
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.