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Parametric Weighting Functions Author info | Abstract | Publisher info | Download info | Related research | Statistics Enrico Diecidue
Ulrich Schmidt
Horst Zank
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This paper provides preference foundations for parametric weighting functions under rankdependent utility. This is achieved by decomposing the independence axiom of expected utility into separate meaningful properties. These conditions allow us to characterize rank-dependent utility with power and exponential weighting functions. Moreover, by allowing probabilistic risk attitudes to vary within the probability interval, a preference foundation for rank-dependent utility with parametric inverse-S shaped weighting function is obtained.
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Paper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number
1395.
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Length: 33 pages
Date of creation: Jan 2008Date of revision:
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Keywords: Comonotonic independence ; probability weighting function ; preference foundation ; rank-dependent utility ; Other versions of this item:
Paper Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2006.
"Parametric Weighting Functions ,"
The School of Economics Discussion Paper Series
0622, Economics, The University of Manchester.
[Downloadable!] Zank, Horst & Schmidt, Ulrich & Diecidue, Enrico, 2007.
"Parametric Weighting Functions ,"
Economics Working Papers
2007,01, Christian-Albrechts-University of Kiel, Department of Economics.
[Downloadable!] Find related papers by JEL classification: D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
This paper has been announced in the following NEP Reports :
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.: Marc Rieger & Mei Wang, 2006.
"Cumulative prospect theory and the St. Petersburg paradox ,"
Economic Theory ,
Springer, vol. 28(3), pages 665-679, 08.
[Downloadable!] (restricted)
Drazen Prelec, 1998.
"The Probability Weighting Function ,"
Econometrica ,
Econometric Society, vol. 66(3), pages 497-528, May.
Ulrich Schmidt & Horst Zank, 2005.
"What is Loss Aversion? ,"
Journal of Risk and Uncertainty ,
Springer, vol. 30(2), pages 157-167, January.
[Downloadable!] (restricted)
Other versions: Fishburn, Peter C., 1983.
"Transitive measurable utility ,"
Journal of Economic Theory ,
Elsevier, vol. 31(2), pages 293-317, December.
[Downloadable!] (restricted)
Luce, R Duncan & Mellers, Barbara A & Chang, Shi-jie, 1993.
" Is Choice the Correct Primitive? On Using Certainty Equivalents and Reference Levels to Predict Choices among Gambles ,"
Journal of Risk and Uncertainty ,
Springer, vol. 6(2), pages 115-43, April.
Tversky, Amos & Kahneman, Daniel, 1992.
" Advances in Prospect Theory: Cumulative Representation of Uncertainty ,"
Journal of Risk and Uncertainty ,
Springer, vol. 5(4), pages 297-323, October.
Chew, S H & Epstein, Larry G & Segal, U, 1991.
"Mixture Symmetry and Quadratic Utility ,"
Econometrica ,
Econometric Society, vol. 59(1), pages 139-63, January.
[Downloadable!] (restricted)
Chateauneuf, Alain, 1999.
"Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences ,"
Journal of Mathematical Economics ,
Elsevier, vol. 32(1), pages 21-45, August.
[Downloadable!] (restricted)
Hey, John D & Orme, Chris, 1994.
"Investigating Generalizations of Expected Utility Theory Using Experimental Data ,"
Econometrica ,
Econometric Society, vol. 62(6), pages 1291-1326, November.
[Downloadable!] (restricted)
Weymark, John A., 1981.
"Generalized gini inequality indices ,"
Mathematical Social Sciences ,
Elsevier, vol. 1(4), pages 409-430, August.
[Downloadable!] (restricted)
Wakker, Peter P, 2001.
"Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle ,"
Econometrica ,
Econometric Society, vol. 69(4), pages 1039-59, July.
Nakamura, Yutaka, 1995.
"Rank dependent utility for arbitrary consequence spaces ,"
Mathematical Social Sciences ,
Elsevier, vol. 29(2), pages 103-129, April.
[Downloadable!] (restricted)
Wu, George, 1994.
"An Empirical Test of Ordinal Independence ,"
Journal of Risk and Uncertainty ,
Springer, vol. 9(1), pages 39-60, July.
Wakker, Peter P. & Zank, Horst, 2002.
"A simple preference foundation of cumulative prospect theory with power utility ,"
European Economic Review ,
Elsevier, vol. 46(7), pages 1253-1271, July.
[Downloadable!] (restricted)
Dekel, Eddie, 1986.
"An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom ,"
Journal of Economic Theory ,
Elsevier, vol. 40(2), pages 304-318, December.
[Downloadable!] (restricted)
Birnbaum, Michael H & Navarrete, Juan B, 1998.
"Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence ,"
Journal of Risk and Uncertainty ,
Springer, vol. 17(1), pages 49-78, October.
[Downloadable!] (restricted)
Luce, R Duncan & Fishburn, Peter C, 1991.
" Rank- and Sign-Dependent Linear Utility Models for Finite First-Order Gambles ,"
Journal of Risk and Uncertainty ,
Springer, vol. 4(1), pages 29-59, January.
Tversky, Amos & Wakker, Peter, 1995.
"Risk Attitudes and Decision Weights ,"
Econometrica ,
Econometric Society, vol. 63(6), pages 1255-80, November.
[Downloadable!] (restricted)
Chateauneuf, Alain & Wakker, Peter, 1993.
"From local to global additive representation ,"
Journal of Mathematical Economics ,
Elsevier, vol. 22(6), pages 523-545.
[Downloadable!] (restricted)
Machina, Mark J, 1982.
""Expected Utility" Analysis without the Independence Axiom ,"
Econometrica ,
Econometric Society, vol. 50(2), pages 277-323, March.
[Downloadable!] (restricted)
Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987.
"Risk aversion in the theory of expected utility with rank dependent probabilities ,"
Journal of Economic Theory ,
Elsevier, vol. 42(2), pages 370-381, August.
[Downloadable!] (restricted)
Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity ,"
Econometrica ,
Econometric Society, vol. 57(3), pages 571-87, May.
[Downloadable!] (restricted)
Quiggin, John, 1982.
"A theory of anticipated utility ,"
Journal of Economic Behavior & Organization ,
Elsevier, vol. 3(4), pages 323-343, December.
[Downloadable!] (restricted)
Safra, Zvi & Segal, Uzi, 1998.
"Constant Risk Aversion ,"
Journal of Economic Theory ,
Elsevier, vol. 83(1), pages 19-42, November.
[Downloadable!] (restricted)
Yaari, Menahem E, 1987.
"The Dual Theory of Choice under Risk ,"
Econometrica ,
Econometric Society, vol. 55(1), pages 95-115, January.
[Downloadable!] (restricted)
Gerard Debreu, 1959.
"Topological Methods in Cardinal Utility Theory ,"
Cowles Foundation Discussion Papers
76, Cowles Foundation, Yale University.
[Downloadable!]
Machina, Mark J, 1989.
"Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty ,"
Journal of Economic Literature ,
American Economic Association, vol. 27(4), pages 1622-68, December.
[Downloadable!] (restricted)
Jullien Bruno & Green Jerry G, 1988.
"Ordinal independence in non-linear utility theory ,"
CEPREMAP Working Papers (Couverture Orange)
8818, CEPREMAP.
Other versions: Alain Chateauneuf & Michèle Cohen & Isaac Meilijson, 2004.
"Four notions of mean preserving increase in risk, risk attitudes and applications to the Rank-Dependent Expected Utility model ,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
halshs-00212281_v1, HAL.
[Downloadable!]
Other versions:
Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004.
"Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model ,"
Journal of Mathematical Economics ,
Elsevier, vol. 40(5), pages 547-571, August.
[Downloadable!] (restricted) Wakker, Peter, 1993.
"Additive representations on rank-ordered sets : II. The topological approach ,"
Journal of Mathematical Economics ,
Elsevier, vol. 22(1), pages 1-26.
[Downloadable!] (restricted)
Roell, Ailsa A, 1987.
"Risk Aversion in Quiggin and Yaari's Rank-Order Model of Choice under Uncertainty ,"
Economic Journal ,
Royal Economic Society, vol. 97(388a), pages 143-59, Supplemen.
[Downloadable!] (restricted)
Wakker, Peter & Erev, Ido & Weber, Elke U, 1994.
"Comonotonic Independence: The Critical Test between Classical and Rank-Dependent Utility Theories ,"
Journal of Risk and Uncertainty ,
Springer, vol. 9(3), pages 195-230, December.
Chateauneuf, Alain & Cohen, Michele, 1994.
"Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model ,"
Journal of Risk and Uncertainty ,
Springer, vol. 9(1), pages 77-91, July.
Nathalie Etchart-Vincent, 2004.
"Is Probability Weighting Sensitive to the Magnitude of Consequences? An Experimental Investigation on Losses ,"
Journal of Risk and Uncertainty ,
Springer, vol. 28(3), pages 217-235, 05.
[Downloadable!]
Epstein, Larry G. & Zin, Stanley E., 1990.
"'First-order' risk aversion and the equity premium puzzle ,"
Journal of Monetary Economics ,
Elsevier, vol. 26(3), pages 387-407, December.
[Downloadable!] (restricted)
Massimo Marinacci & Paolo Ghirardato, 2001.
"Risk, ambiguity, and the separation of utility and beliefs ,"
ICER Working Papers - Applied Mathematics Series
21-2001, ICER - International Centre for Economic Research.
[Downloadable!]
Other versions:
Ghirardato, Paolo & Marinacci, Massimo, 2000.
"Risk, Ambigity and the Separation of Utility and Beliefs ,"
Working Papers
1085, California Institute of Technology, Division of the Humanities and Social Sciences.
[Downloadable!] Paolo Ghirardato & Massimo Marinacci, 2000.
"Risk, Ambiguity and the Separation of Utility and Beliefs ,"
Econometric Society World Congress 2000 Contributed Papers
1143, Econometric Society.
[Downloadable!] Paolo Ghirardato & Massimo Marinacci, 2000.
"Risk, Ambiguity, and the Separation of Utility and Beliefs ,"
Levine's Bibliography
7616, UCLA Department of Economics.
[Downloadable!] Camerer, Colin F & Ho, Teck-Hua, 1994.
"Violations of the Betweenness Axiom and Nonlinearity in Probability ,"
Journal of Risk and Uncertainty ,
Springer, vol. 8(2), pages 167-96, March.
Quiggin, John & Horowitz, John, 1995.
"Time and Risk ,"
Journal of Risk and Uncertainty ,
Springer, vol. 10(1), pages 37-55, January.
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Nathalie Etchart-Vincent, 2009.
"Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses ,"
Journal of Risk and Uncertainty ,
Springer, vol. 39(1), pages 45-63, August.
[Downloadable!] (restricted)
Mohammed Abdellaoui & Olivier l’Haridon & Horst Zank, 2009.
"Separating Curvature and Elevation: A Parametric Weighting Function ,"
The School of Economics Discussion Paper Series
0901, Economics, The University of Manchester.
[Downloadable!]
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