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Dutch books: avoiding strategic and dynamic complications, and a comonotonic extension

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  • Diecidue, Enrico
  • Wakker, Peter P.

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Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 43 (2002)
Issue (Month): 2 (March)
Pages: 135-149

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Handle: RePEc:eee:matsoc:v:43:y:2002:i:2:p:135-149

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Web page: http://www.elsevier.com/locate/inca/505565

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References

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  1. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  2. Border, Kim C & Segal, Uzi, 1994. "Dutch Books and Conditional Probability," Economic Journal, Royal Economic Society, vol. 104(422), pages 71-75, January.
  3. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  4. Fox, Craig R & Rogers, Brett A & Tversky, Amos, 1996. "Options Traders Exhibit Subadditive Decision Weights," Journal of Risk and Uncertainty, Springer, vol. 13(1), pages 5-17, July.
  5. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
  6. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
  7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  8. Reinhard Selten & Abdolkarim Sadrieh & Klaus Abbink, 1999. "Money Does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Theory and Decision, Springer, vol. 46(3), pages 213-252, June.
  9. 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.
  10. De Waegenaere, A.M.B. & Wakker, P.P., 1997. "Choquet Integrals With Respect to Non-Monotonic Set Functions," Discussion Paper 1997-44, Tilburg University, Center for Economic Research.
  11. Kim C. Border & Uzi Segal, 2001. "Coherent Odds and Subjective Probability," Boston College Working Papers in Economics 513, Boston College Department of Economics.
  12. Loehman, Edna, 1998. "Testing risk aversion and nonexpected utility theories," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 285-302, January.
  13. 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.
  14. Varian, Hal R, 1987. "The Arbitrage Principle in Financial Economics," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 55-72, Fall.
  15. Wakker, P.P. & Thaler, R.H. & Tversky, A., 1997. "Probabilistic insurance," Discussion Paper 1997-35, Tilburg University, Center for Economic Research.
  16. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  17. Wilhelm Neuefeind & Walter Trockel, 1994. "Continuous Linear Representability of Binary Relations," Game Theory and Information 9405002, EconWPA.
  18. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
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Citations

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Cited by:
  1. Matthew Rabin & Georg Weizsacker, 2009. "Narrow Bracketing and Dominated Choices," American Economic Review, American Economic Association, vol. 99(4), pages 1508-43, September.
  2. Robert Kast & André Lapied, 2007. "Dynamically Consistent Conditional Choquet Capacities," ICER Working Papers - Applied Mathematics Series 20-2007, ICER - International Centre for Economic Research.
  3. Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.
  4. Bleichrodt, Han & Eeckhoudt, Louis, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 335-346, April.
  5. Robert Kast & André Lapied, 2008. "Valuing future cash flows with non separable discount factors and non additive subjective measures: Conditional Choquet Capacities on Time and on Uncertainty," Working Papers 08-09, LAMETA, Universtiy of Montpellier, revised Jun 2008.
  6. Hougaard, Jens Leth & Keiding, Hans, 2005. "Rawlsian maximin, Dutch books, and non-additive expected utility," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 239-251, November.
  7. Ludwig, Alexander & Zimper, Alexander, 2004. "Investment Behavior under Ambiguity: The Case of Pessimistic Decision Makers," Sonderforschungsbereich 504 Publications 04-31, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  8. Enrico Diecidue, 2006. "Deriving Harsanyi’s Utilitarianism from De Finetti’s Book-Making Argument," Theory and Decision, Springer, vol. 61(4), pages 363-371, December.
  9. Andrea Capotorti & Giulianella Coletti & Barbara Vantaggi, 2008. "Preferences Representable by a Lower Expectation: Some Characterizations," Theory and Decision, Springer, vol. 64(2), pages 119-146, March.
  10. Enrico Diecidue & Peter Wakker & Marcel Zeelenberg, 2007. "Eliciting decision weights by adapting de Finetti’s betting-odds method to prospect theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 179-199, June.
  11. Robert Kast, 2011. "Managing financial risks due to natural catastrophes," Working Papers hal-00610241, HAL.
  12. Kast, Robert & Lapied, Andre, 2003. "Comonotonic book making and attitudes to uncertainty," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 1-7, August.
  13. Kast, Robert & Lapied, André & Roubaud, David, 2014. "Modelling under ambiguity with dynamically consistent Choquet random walks and Choquet–Brownian motions," Economic Modelling, Elsevier, vol. 38(C), pages 495-503.
  14. 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.
  15. Voorneveld, Mark, 2008. "From preferences to Cobb-Douglas utility," Working Paper Series in Economics and Finance 701, Stockholm School of Economics, revised 13 Oct 2008.
  16. Doctor, Jason N. & Bleichrodt, Han & Miyamoto, John & Temkin, Nancy R. & Dikmen, Sureyya, 2004. "A new and more robust test of QALYs," Journal of Health Economics, Elsevier, vol. 23(2), pages 353-367, March.
  17. Bleichrodt, Han & Diecidue, Enrico & Quiggin, John, 2004. "Equity weights in the allocation of health care: the rank-dependent QALY model," Journal of Health Economics, Elsevier, vol. 23(1), pages 157-171, January.
  18. Enrico Diecidue & Dolchai La-ornual, 2009. "Reconciling support theory and the book-making principle," Journal of Risk and Uncertainty, Springer, vol. 38(3), pages 173-190, June.

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