Abstract
The expected utility hypothesis is one of the building blocks of classical economic theory and founded on Savage’s Sure-Thing Principle. It has been put forward, e.g. by situations such as the Allais and Ellsberg paradoxes, that real-life situations can violate Savage’s Sure-Thing Principle and hence also expected utility. We analyze how this violation is connected to the presence of the ‘disjunction effect’ of decision theory and use our earlier study of this effect in concept theory to put forward an explanation of the violation of Savage’s Sure-Thing Principle, namely the presence of ‘quantum conceptual thought’ next to ‘classical logical thought’ within a double layer structure of human thought during the decision process. Quantum conceptual thought can be modeled mathematically by the quantum mechanical formalism, which we illustrate by modeling the Hawaii problem situation — a well-known example of the disjunction effect — generated by the entire conceptual landscape surrounding the decision situation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Aerts, D.: Quantum interference and superposition in cognition: Development of a theory for the disjunction of concepts (2007a), Archive Reference and Link: http://arxiv.org/abs/0705.0975
Aerts, D.: General quantum modeling of combining concepts: A quantum field model in Fock space (2007b), Archive reference and link: http://arxiv.org/abs/0705.1740
Aerts, D.: Quantum structure in cognition. J. Math. Psy. 53, 314–348 (2009)
Aerts, D., Aerts, S.: Applications of quantum statistics in psychological studies of decision processes. Foundations of Science 1, 85–97 (1994)
Aerts, D., Apostel, L., De Moor, B., Hellemans, S., Maex, E., Van Belle, H., Van der Veken, J.: Worldviews, from Fragmentation towards Integration. VUBPress (1994)
Aerts, D., Broekaert, J., Gabora, L.: A case for applying an abstracted quantum formalism to cognition. New Ideas in Psychology 29, 136–146 (2010)
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., Gabora, L.: A theory of concepts and their combinations I: The structure of the sets of contexts and properties. Kybernetes 34, 167–191 (2005a)
Aerts, D., Gabora, L.: A theory of concepts and their combinations II: A Hilbert space representation. Kybernetes 34, 192–221 (2005b)
Aerts, D., Van Belle, H., Van der Veken, J. (eds.): Worldviews and the Problem of Synthesis. Springer, Dordrecht (1999)
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)
Bagassi, M., Macchi, L.: The ‘vanishing’ of the disjunction effect by sensible procrastination. Mind & Society 6, 41–52 (2007)
Busemeyer, J.R., Wang, Z., Townsend, J.T.: Quantum dynamics of human decision-making. Journal of Mathematical Psychology 50, 220–241 (2006)
Busemeyer, J.R., Pothos, E., Franco, R., Trueblood, J.: A quantum theoretical explanation for probability judgment ‘errors’. Psychological Review 118(2), 193–218 (2011)
Danilov, V.I., Lambert-Mogiliansky, A.: Measurable systems and behavioral sciences. Mathematical Social Sciences 55(3), 315–340 (2008)
Ellsberg, D.: Risk, ambiguity, and the Savage axioms. Quarterly Journal of Economics 75(4), 643–669 (1961)
Franco, R.: Risk, Ambiguity and Quantum Decision Theory (2007), Archive reference and link: http://arxiv.org/abs/0711.0886
Gabora, L., Aerts, D.: Contextualizing concepts using a mathematical generalization of the quantum formalism. Journal of Experimental and Theoretical Artificial Intelligence 14, 327–358 (2002)
Hampton, J.A.: Disjunction of natural concepts. Memory & Cognition 16, 579–591 (1988)
Khrennikov, A.: Quantum-like model of cognitive decision making and information processing. Biosystems 95, 179–187 (2008)
Pothos, E.M., Busemeyer, J.R.: A quantum probability explanation for violations of ‘rational’ decision theory. Proceedings of the Royal Society B (2009)
Savage, L.J.: The Foundations of Statistics. Wiley, New-York (1954)
Tversky, A., Shafir, E.: The disjunction effect in choice under uncertainty. Psychological Science 3, 305–309 (1992)
von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)
Yukalov, V.I., Sornette, D.: Decision theory with prospect interference and entanglement. Theory and Decision 70, 283–328 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aerts, D., Broekaert, J., Czachor, M., D’Hooghe, B. (2011). A Quantum-Conceptual Explanation of Violations of Expected Utility in Economics. 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_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-24971-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24970-9
Online ISBN: 978-3-642-24971-6
eBook Packages: Computer ScienceComputer Science (R0)