Parametric representation of preferences
A preference is invariant with respect to a set of transformations if the ranking of acts is unaffected by reshuffling the states under these transformations. For example, transformations may correspond to the set of finite permutations, or the shift in a dynamic choice model. Our main result is that any invariant preference must be parametric: there is a unique sufficient set of parameters such that the preference ranks acts according to their expected utility given the parameters. Parameters are characterized in terms of objective frequencies, and can thus be interpreted as objective probabilities. By contrast, uncertainty about parameters is subjective. The preferences for which the above results hold are only required to be reflexive, transitive, monotone, continuous, and mixture linear.
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- Sujoy Mukerji & Peter Klibanoff, 2002.
"A Smooth Model of Decision,Making Under Ambiguity,"
Economics Series Working Papers
113, University of Oxford, Department of Economics.
- Tomasz Strzalecki, 2011.
"Axiomatic Foundations of Multiplier Preferences,"
Levine's Working Paper Archive
786969000000000126, David K. Levine.
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo & Siniscalchi, Marciano, 2001.
"A Subjective Spin on Roulette Wheels,"
1127, California Institute of Technology, Division of the Humanities and Social Sciences.
- Epstein, Larry G. & Seo, Kyoungwon, 2010.
"Symmetry of evidence without evidence of symmetry,"
Econometric Society, vol. 5(3), September.
- Larry G. Epstein & Kyoungwon Seo, 2008. "Symmetry Of Evidence Without Evidence Of Symmetry," Boston University - Department of Economics - Working Papers Series wp2008-018, Boston University - Department of Economics.
- Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008.
"Uncertainty Averse Preferences,"
Carlo Alberto Notebooks
77, Collegio Carlo Alberto.
- Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2008.
"Objective and Subjective Rationality in a Multiple Prior Model,"
Carlo Alberto Notebooks
73, Collegio Carlo Alberto, revised 2008.
- Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2010. "Objective and Subjective Rationality in a Multiple Prior Model," Econometrica, Econometric Society, vol. 78(2), pages 755-770, 03.
- Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013.
"Ambiguity and robust statistics,"
Journal of Economic Theory,
Elsevier, vol. 148(3), pages 974-1049.
- Chew, Soo Hong & Sagi, Jacob S., 2008. "Small worlds: Modeling attitudes toward sources of uncertainty," Journal of Economic Theory, Elsevier, vol. 139(1), pages 1-24, March.
- Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
- William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
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