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Choices under ambiguity with familiar and unfamiliar outcomes

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Author Info

  • Marcello Basili

    ()
    (Université de Sienne)

  • Alain Chateauneuf

    ()
    (CERMSEM)

  • Fulvio Fontini

    ()
    (Université de Florence)

Abstract

This paper considers a decision-making process under ambiguity in which the decision-maker is supposed to split outcomes between familiar and unfamiliar ones. She is assumed to behave differently with respect to unfamiliar gains, unfamiliar losses and customary (familiar) outcomes. In particular, she is supposed to be pessimistic on gains, optimistic on losses and ambiguity neutral on the familiar outcomes. A generalization of the usual Choquet integral is formalized when the decision-maker holds both capacities and probabilities. A characterization of the decision-maker's behaviour is provided for a specific subset of capacities, in which it is shown that the decision-maker underestimates the unfamiliar outcomes while is linear in probabilities on customary ones.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04115.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04115.

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Length: 11 pages
Date of creation: Oct 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04115

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Keywords: Ambiguity; capacity; Choquet integral; representation theorem; cumulative prospect theory.;

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References

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  1. Lattimore, Pamela K. & Baker, Joanna R. & Witte, Ann D., 1992. "The influence of probability on risky choice: A parametric examination," Journal of Economic Behavior & Organization, Elsevier, vol. 17(3), pages 377-400, May.
  2. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  3. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-89, November.
  4. Wakker, Peter & Tversky, Amos, 1993. " An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-75, October.
  5. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November.
  6. Bleichrodt, Han, 2001. " Probability Weighting in Choice under Risk: An Empirical Test," Journal of Risk and Uncertainty, Springer, vol. 23(2), pages 185-98, September.
  7. Chateauneuf, Alain & Wakker, Peter, 1999. "An Axiomatization of Cumulative Prospect Theory for Decision under Risk," Journal of Risk and Uncertainty, Springer, vol. 18(2), pages 137-45, August.
  8. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  9. 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.
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  11. Michael Kilka & Martin Weber, 2001. "What Determines the Shape of the Probability Weighting Function Under Uncertainty?," Management Science, INFORMS, vol. 47(12), pages 1712-1726, December.
  12. Schmidt, Ulrich & Traub, Stefan, 2002. " An Experimental Test of Loss Aversion," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 233-49, November.
  13. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
  14. Moshe Levy & Haim Levy, 2002. "Prospect Theory: Much Ado About Nothing?," Management Science, INFORMS, vol. 48(10), pages 1334-1349, October.
  15. 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.
  16. Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
  17. Pamela K. Lattimore & Joanna R. Baker & A. Dryden Witte, 1992. "The Influence Of Probability on Risky Choice: A parametric Examination," NBER Technical Working Papers 0081, National Bureau of Economic Research, Inc.
  18. 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.
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Citations

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Cited by:
  1. Marcello Basili & Carlo Zappia, 2010. "Ambiguity and uncertainty in Ellsberg and Shackle," Cambridge Journal of Economics, Oxford University Press, vol. 34(3), pages 449-474.
  2. Xiaoxian Ma & Qingzhen Zhao & Jilin Qu, 2008. "Robust portfolio optimization with a generalized expected utility model under ambiguity," Annals of Finance, Springer, vol. 4(4), pages 431-444, October.
  3. Fontini, Fulvio & Umgiesser, Georg & Vergano, Lucia, 2010. "The role of ambiguity in the evaluation of the net benefits of the MOSE system in the Venice lagoon," Ecological Economics, Elsevier, vol. 69(10), pages 1964-1972, August.
  4. Basili, Marcello & Chateauneuf, Alain & Fontini, Fulvio, 2008. "Precautionary principle as a rule of choice with optimism on windfall gains and pessimism on catastrophic losses," Ecological Economics, Elsevier, vol. 67(3), pages 485-491, October.
  5. Fontini, Fulvio & Paloscia, Lorenzo, 2007. "The impact of the new investments in combined cycle gas turbine power plants on the Italian electricity price," Energy Policy, Elsevier, vol. 35(9), pages 4671-4676, September.
  6. José Lara Resende & George Wu, 2010. "Competence effects for choices involving gains and losses," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 109-132, April.

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