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Choquet integrals with respect to non-monotonic set functions

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Author Info
De Waegenaere, A.
Wakker, P. (Tilburg University, Center for Economic Research)

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Abstract

This paper introduces the signed Choquet integral, i.e., a nonmonotonic generalization of the Choquet integral. Applications to welfare theory, multi-period optimization, and asset pricing are described.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 44.

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Date of creation: 1997
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Handle: RePEc:dgr:kubcen:199744

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Keywords: Choquet integral;

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References listed on IDEAS
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  1. Gilboa, Itzhak, 1989. "Expectation and Variation in Multi-period Decisions," Econometrica, Econometric Society, vol. 57(5), pages 1153-69, September. [Downloadable!] (restricted)
  2. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August. [Downloadable!] (restricted)
  3. Waegenaere, A. de & Kast, R. & Lapied, A., 1996. "Non-linear asset valuation on markets with frictions," Discussion Paper 112, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February. [Downloadable!] (restricted)
  5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January. [Downloadable!] (restricted)
  6. Jonathan Shalev, 1994. "Loss Aversion in a Multi-Period Model," Game Theory and Information 9407001, EconWPA, revised 18 Mar 1997. [Downloadable!]
    Other versions:
  7. Lowenstein, George & Prelec, Drazen, 1991. "Negative Time Preference," American Economic Review, American Economic Association, vol. 81(2), pages 347-52, May.
  8. Elchanan Ben Porath & Itzhak Gilboa, 1991. "Linear Measures, the Gini Index and the Income-Equality Tradeoff," Discussion Papers 944, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  9. Kahneman, Daniel & Thaler, Richard H, 1991. "Economic Analysis and the Psychology of Utility: Applications to Compensation Policy," American Economic Review, American Economic Association, vol. 81(2), pages 341-46, May. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  11. 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.
  12. Chateauneuf, A. & Kast, R. & Lapied, A., 1992. "Choquet Pricing for Financial Markets with Frictions," G.R.E.Q.A.M. 92a11, Universite Aix-Marseille III.
  13. Itzhak Gilboa & David Schmeidler, 1992. "Canonical Representation of Set Functions," Discussion Papers 986, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  14. 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. [Downloadable!] (restricted)
  15. Wilson, Charles, 1991. "Incomplete Markets," Working Papers 91-63, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  16. Nakamura, Yutaka, 1990. "Subjective expected utility with non-additive probabilities on finite state spaces," Journal of Economic Theory, Elsevier, vol. 51(2), pages 346-366, August. [Downloadable!] (restricted)
  17. 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.
  18. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February. [Downloadable!] (restricted)
  19. Mukerji, S. & Shin, H.S., 1996. "Is Common Knowledge Possible in Games with Knightian Uncertainty," Discussion Paper Series In Economics And Econometrics 9642, Economics Division, School of Social Sciences, University of Southampton.
  20. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  21. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March. [Downloadable!] (restricted)
  22. Kin Chung Lo, 1995. "Extensive Form Games with Uncertainty Averse Players," Working Papers ecpap-95-03, University of Toronto, Department of Economics. [Downloadable!]
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  23. 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 519-43, June. [Downloadable!] (restricted)
  24. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April. [Downloadable!] (restricted)
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