Abstract
The expected utility hypothesis is one of the foundations of classical approaches to economics and decision theory and Savage’s Sure-Thing Principle is a fundamental element of it. It has been put forward that real-life situations exist, illustrated by the Allais and Ellsberg paradoxes, in which the Sure-Thing Principle is violated, and where also the expected utility hypothesis does not hold. We have recently presented strong arguments for the presence of a double layer structure, a classical logical and a quantum conceptual, in human thought and that the quantum conceptual mode is responsible of the above violation. We consider in this paper the Ellsberg paradox, perform an experiment with real test subjects on the situation considered by Ellsberg, and use the collected data to elaborate a model for the conceptual landscape surrounding the decision situation of the paradox. We show that it is the overall conceptual landscape which gives rise to a violation of the Sure-Thing Principle and leads to the paradoxical situation discovered by Ellsberg.
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References
von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)
Savage, L.J.: The Foundations of Statistics. Wiley, New York (1954)
Allais, M.: Le Comportement de l’Homme Rationnel Devant le Risque: Critique des Postulats et Axiomes de l’École Américaine. Econometrica 21, 503–546 (1953)
Ellsberg, D.: Risk, Ambiguity, and the Savage Axioms. Quart. J. Econ. 75(4), 643–669 (1961)
Hampton, J.A.: Disjunction of Natural Concepts. Memory & Cognition 16, 579–591 (1988)
Tversky, A., Shafir, E.: The Disjunction Effect in Choice Under Uncertainty. Psych. Sci. 3, 305–309 (1992)
Gabora, L., Aerts, D.: Contextualizing Concepts Using a Mathematical Generalization of the Quantum Formalism. J. Exp. Theor. Art. Int. 14, 327–358 (2002)
Aerts, D., Gabora, L.: A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties. Kybernetes 34, 167–191 (2005)
Aerts, D., Gabora, L.: A Theory of Concepts and Their Combinations II: A Hilbert Space Representation. Kybernetes 34, 192–221 (2005)
Aerts, D.: Quantum Structure in Cognition. J. Math. Psych. 53, 314–348 (2009)
Aerts, D., D’Hooghe, B.: Classical Logical Versus Quantum Conceptual Thought: Examples in Economics, Decision Theory and Concept Theory. In: Bruza, P., Sofge, D., Lawless, W., van Rijsbergen, K., Klusch, M. (eds.) QI 2009. LNCS, vol. 5494, pp. 128–142. Springer, Heidelberg (2009)
Aerts, D.: Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts. In: Aerts, D., D’Hooghe, B., Note, N. (eds.) Worldviews, Science and Us: Bridging Knowledge and Its Implications for Our Perspectives of the World. World Scientific, Singapore (2011) (in print) Archive reference and link, http://arxiv.org/abs/0705.1740 (2007)
Aerts, D.: General Quantum Modeling of Combining Concepts: A Quantum Field Model in Fock Space (2007), Archive reference and link: http://arxiv.org/abs/0705.1740
Aerts, D., Broekaert, J., Czachor, M., D’Hooghe, B.: A Quantum-Conceptual Explanation of Violations of Expected Utility in Economics. In: Song, D., et al. (eds.) QI 2011. LNCS, vol. 7052, pp. 192–198. Springer, Heidelberg (2011)
Busemeyer, J.R., Wang, Z., Townsend, J.T.: Quantum Dynamics of Human Decision-Making. J. Math. Psych. 50, 220–241 (2006)
Franco, R.: Risk, Ambiguity and Quantum Decision Theory(2007), Archive reference and link: http://arxiv.org/abs/0711.0886
Khrennikov, A.Y., Haven, E.: Quantum Mechanics and Violations of the Sure-Thing Principle: The Use of Probability Interference and Other Concepts. J. Math. Psych. 53, 378–388 (2009)
Pothos, E.M., Busemeyer, J.R.: A Quantum Probability Explanation for Violations of ‘Rational’ Decision Theory. Proc. Roy. Soc. B 276, 2171–2178 (2009)
Knight, F.H.: Risk, Uncertainty and Profit. Houghton Mifflin, Boston (1921)
Aerts, D., Sozzo, S.: Contextual risk and its relevance in economics. Accepted for Publication in J. Eng. Sci. Tech. Rev. (2011)
Aerts, D., Sozzo, J.: A contextual risk model for the Ellsberg paradox. Accepted for Publication in J. Eng. Sci. Tech. Rev. (2011)
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Aerts, D., D’Hooghe, B., Sozzo, S. (2011). A Quantum Cognition Analysis of the Ellsberg Paradox. In: Song, D., Melucci, M., Frommholz, I., Zhang, P., Wang, L., Arafat, S. (eds) Quantum Interaction. QI 2011. Lecture Notes in Computer Science, vol 7052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24971-6_10
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DOI: https://doi.org/10.1007/978-3-642-24971-6_10
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