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Stochastic Dominance and Cumulative Prospect Theory

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  • Baucells Alibés Manel

    ()
    (UNIVERSITY OF NAVARRA)

  • Heukamp Franz H.

    ()
    (UNIVERSIDAD DE NAVARRA)

Abstract

We generalize and extend the second order stochastic dominance condition available for Expected Utility to Cumulative Prospect Theory. The new definitions include, among others, preferences represented by S-shaped value and inverse S-shaped probability weighting functions. The stochastic dominance conditions supply a framework to test different features of Cumulative Prospect Theory. In the experimental part of the working paper we offer a test of several joint hypotheses on the value function and the probability weighting function. Assuming empirically relevant weighting functions, we can reject the inverse S-shaped value function recently advocated by Levy and Levy (2002a), in favor of the S-shaped form. In addition, we find generally supporting evidence for loss aversion. Violations of loss aversion can be linked to subjects using the overall probability of winning as heuristic.

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Bibliographic Info

Paper provided by Fundacion BBVA / BBVA Foundation in its series Working Papers with number 201061.

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Length: 44
Date of creation: Jan 2007
Date of revision:
Handle: RePEc:fbb:wpaper:201061

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Keywords: Second order stochastic dominance; cumulative prospect theory; value function; probability weighting function.;

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Cited by:
  1. Stoyanov, Stoyan V. & Rachev, Svetlozar T. & Fabozzi, Frank J., 2009. "Construction of probability metrics on classes of investors," Economics Letters, Elsevier, vol. 103(1), pages 45-48, April.
  2. Schmidt, Ulrich & Starmer, Chris & Sugden, Robert, 2008. "Third-generation prospect theory," Open Access Publications from Kiel Institute for the World Economy 28932, Kiel Institute for the World Economy (IfW).
  3. Baucells, Manel & Rata, Cristina, 2004. "Framing and stakes: A survey study of decisions under uncertainty," IESE Research Papers D/568, IESE Business School.
  4. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
  5. Sergio Ortobelli & Svetlozar Rachev & Haim Shalit & Frank Fabozzi, 2009. "Orderings and Probability Functionals Consistent with Preferences," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(1), pages 81-102.
  6. Matteo Del Vigna, 2012. "Stochastic dominance for law invariant preferences: The happy story of elliptical distributions," Working Papers - Mathematical Economics 2012-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  7. Peter Brooks & Simon Peters & Horst Zank, 2014. "Risk behavior for gain, loss, and mixed prospects," Theory and Decision, Springer, vol. 77(2), pages 153-182, August.

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