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Nonmonotonic Choquet integrals

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  • De Waegenaere, Anja
  • Wakker, Peter P.

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  • De Waegenaere, Anja & Wakker, Peter P., 2001. "Nonmonotonic Choquet integrals," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 45-60, September.
  • Handle: RePEc:eee:mateco:v:36:y:2001:i:1:p:45-60
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    References listed on IDEAS

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    1. Shalev, Jonathan, 1997. "Loss aversion in a multi-period model," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 203-226, June.
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    6. 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.
    7. George Loewenstein & Richard H Thaler, 2003. "Anomalies: Intertemporal Choice," Levine's Working Paper Archive 618897000000000784, David K. Levine.
    8. F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
    9. A. Chateauneuf & R. Kast & A. Lapied, 1996. "Choquet Pricing For Financial Markets With Frictions1," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 323-330, July.
    10. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    11. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    12. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    13. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
    14. Oginuma, Takashi, 1994. "A theory of expected utility with nonadditive probability," Journal of Mathematical Economics, Elsevier, vol. 23(5), pages 451-473, September.
    15. Gilboa, Itzhak, 1989. "Expectation and Variation in Multi-period Decisions," Econometrica, Econometric Society, vol. 57(5), pages 1153-1169, September.
    16. Peter J. Hammond, 1976. "Changing Tastes and Coherent Dynamic Choice," Review of Economic Studies, Oxford University Press, vol. 43(1), pages 159-173.
    17. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    18. Uri Benzion & Amnon Rapoport & Joseph Yagil, 1989. "Discount Rates Inferred from Decisions: An Experimental Study," Management Science, INFORMS, vol. 35(3), pages 270-284, March.
    19. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
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    21. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    22. Pollak, Robert A, 1970. "Habit Formation and Dynamic Demand Functions," Journal of Political Economy, University of Chicago Press, vol. 78(4), pages 745-763, Part I Ju.
    23. Ng, Yew-Kwang, 1997. "A Case for Happiness, Cardinalism, and Interpersonal Comparability," Economic Journal, Royal Economic Society, vol. 107(445), pages 1848-1858, November.
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    Cited by:

    1. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
    2. André Lapied & Olivier Renault, 2012. "An Investigation of Time Consistency for Subjective Discontinued Utility," AMSE Working Papers 1210, Aix-Marseille School of Economics, France.
    3. De Waegenaere, Anja & Kast, Robert & Lapied, Andre, 2003. "Choquet pricing and equilibrium," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 359-370, July.
    4. Lorenza Campagnolo & Carlo Carraro & Marinella Davide & Fabio Eboli & Elisa Lanzi & Ramiro Parrado, 2016. "Can climate policy enhance sustainability?," Climatic Change, Springer, vol. 137(3), pages 639-653, August.
    5. repec:eee:jbfina:v:83:y:2017:i:c:p:70-84 is not listed on IDEAS
    6. Chen, Zengjing & Kulperger, Reg, 2006. "Minimax pricing and Choquet pricing," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 518-528, June.
    7. Schmidt, Ulrich & Zank, Horst, 2009. "A simple model of cumulative prospect theory," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 308-319, March.
    8. Silvia Bortot & Mario Fedrizzi & Silvio Giove, 2011. "Modelling fraud detection by attack trees and Choquet integral," DISA Working Papers 2011/09, Department of Computer and Management Sciences, University of Trento, Italy, revised 31 Aug 2011.
    9. André Lapied & Robert Kast, 2005. "Updating Choquet valuation and discounting information arrivals," Working Papers 05-09, LAMETA, Universtiy of Montpellier, revised Jan 2005.
    10. Marta Cardin, 2005. "Preference Rapresentation for Multicriteria Decision Making," GE, Growth, Math methods 0511009, University Library of Munich, Germany.
    11. repec:dau:papers:123456789/5446 is not listed on IDEAS
    12. André Lapied & Robert Kast, 2005. "Updating Choquet valuation and discounting information arrivals," Working Papers 05-09, LAMETA, Universtiy of Montpellier, revised Jan 2005.
    13. Fernández, J.R. & Gallego, I. & Jiménez-Losada, A. & Ordóñez, M., 2016. "Cooperation among agents with a proximity relation," European Journal of Operational Research, Elsevier, vol. 250(2), pages 555-565.
    14. Wakai, Katsutoshi, 2011. "Modeling nonmonotone preferences: The case of utility smoothing," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 213-226, March.
    15. Chateauneuf, Alain & Ventura, Caroline, 2013. "G-continuity, impatience and myopia for Choquet multi-period utilities," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 97-105.
    16. Kirsten Rohde, 2010. "A preference foundation for Fehr and Schmidt’s model of inequity aversion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 537-547, April.
    17. repec:spr:annopr:v:262:y:2018:i:2:d:10.1007_s10479-015-2079-y is not listed on IDEAS
    18. Chateauneuf, Alain & Rebille, Yann, 2004. "Some characterizations of non-additive multi-period models," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 235-250, November.
    19. Balbás, Alejandro & Balbás, Raquel & Garrido, José, 2010. "Extending pricing rules with general risk functions," European Journal of Operational Research, Elsevier, vol. 201(1), pages 23-33, February.

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