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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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Bibliographic Info

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. Kim C. Border & Uzi Segal, 2001. "Coherent Odds and Subjective Probability," Boston College Working Papers in Economics 513, Boston College Department of Economics.
  2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  3. Matthew Rabin, 2001. "Risk Aversion and Expected Utility Theory: A Calibration Theorem," Levine's Working Paper Archive 7667, David K. Levine.
  4. Varian, Hal R, 1987. "The Arbitrage Principle in Financial Economics," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 55-72, Fall.
  5. 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.
  6. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  7. 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.
  8. Border, Kim C & Segal, Uzi, 1994. "Dutch Books and Conditional Probability," Economic Journal, Royal Economic Society, vol. 104(422), pages 71-75, January.
  9. Wilhelm Neuefeind & Walter Trockel, 1994. "Continuous Linear Representability of Binary Relations," Game Theory and Information 9405002, EconWPA.
  10. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  11. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
  12. Wakker, Peter P & Thaler, Richard H & Tversky, Amos, 1997. "Probabilistic Insurance," Journal of Risk and Uncertainty, Springer, vol. 15(1), pages 7-28, October.
  13. 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.
  14. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  15. 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.
  16. Loehman, Edna, 1998. "Testing risk aversion and nonexpected utility theories," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 285-302, January.
  17. 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.
  18. 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.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Diecidue, E. & Wakker, P.P. & Zeelenberg, M., 2007. "Eliciting decision weights by adapting de Finetti's betting-odds method to prospect theory," Open Access publications from Tilburg University urn:nbn:nl:ui:12-225938, Tilburg University.
  7. Robert Kast & André Lapied, 2010. "Valuing future cash flows with non separable discount factors and non additive subjective measures: conditional Choquet capacities on time and on uncertainty," Theory and Decision, Springer, vol. 69(1), pages 27-53, July.
  8. 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.
  9. Kast, Robert & Lapied, Andre, 2003. "Comonotonic book making and attitudes to uncertainty," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 1-7, August.
  10. Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.
  11. 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.
  12. 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.
  13. Matthew Rabin & Georg Weizsacker, 2009. "Narrow Bracketing and Dominated Choices," American Economic Review, American Economic Association, vol. 99(4), pages 1508-43, September.
  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. 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.
  16. Robert Kast & André Lapied, 2007. "Dynamically Consistent Conditional Choquet Capacities," ICER Working Papers - Applied Mathematics Series 20-2007, ICER - International Centre for Economic Research.
  17. 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.
  18. Robert Kast, 2011. "Managing financial risks due to natural catastrophes," Working Papers hal-00610241, HAL.

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