DOI: 10.14704/nq.2014.12.3.776

Quantum Interpretation to Decision Making Under Risk: The Observer Effect In Allais Paradox

Gelengül Koçaslan

Abstract


As it has served as a basement for all sciences Newtonian Physics has served for Economics as well. Consequently Newtonian causality appeared as economic determinism in economic theory. Recently quantum physics called into question the philosophy of determinism and focused on possibility rather than certainty. Decision making under risk and uncertainty has been reviewed by scientists from different disciplines. Since it is revealed that individual behavior contradicts with the basic tenets of the theory; economists, psychologists, neurologists and physicists have devoted much to better understand the basic motives underlying irrational behavior. This study adapts quantum approach to decision making under risk considering Allais Paradox and reinterpret it not from the side of the subject but from the side of the observer. In this way it is aimed to reconsider Allais Paradox referring to quantum measurement problem and the observer effect.

Keywords


quantum economics; decision making under risk, Allais paradox; Schrödinger’s cat; the observer effect

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References


Accardi L. Quantum Theory and Non-Kolmogorovian Probability, Stochastic Processes in Quantum Theory and Statistical Physics. Lecture Notes in Physics, 173. Springer, 1982.

Aerts D and Sozzo S. Contextual Risk and Its Relevance in Economics. Journal of Engineering Science and Technology Review Special Issue on Econophysics 2011; 4(3):241-245.

Aerts D and Sozzo S. A Contextual Risk Model for the Ellsberg Paradox. Journal of Engineering Science and Technology Review 2012a; 4:246-250.

Aerts D and Sozzo S. Quantum Structure in Economics: The Ellsberg Paradox. In Foundations of Probability and Physics - 6, AIP Conference Proceedings, 1424; D'Ariano M, Fei S -M, Haven E, Hiesmayr B, Jaeger G, Khrennikov A, Larsson J -A (Eds.); 2012b:487-494.

Allais M. Le Comportement de l'Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l'Ecole Americaine. Econometrica 1953; 21 (4): 503-546.

Asano M, Ohya M, Khrennikov A. Quantum-Like Model For Decision Making Process in Two Players Game. Foundations of Physics 2010; 41:538–548.

Asano M, Ohya M, Tanaka Y, Khrennikov A, Basieva I. On Application Of Gorini–Kossakowski–Sudarshan–Lindblad Equation in Cognitive Psychology. Open Systems & Information Dynamics 2011; 18:55–69.

Asanoa M, Basieva I, Khrennikov A, Ohyaa M, Tanakaa Y. Quantum-Like Dynamics of Decision-Making. Physica A 2012; 391:2083–2099.

Baaquie B E. Quantum Finance: Path Integrals and Hamiltonians for Options and Interest Rates. Cambridge University Press, 2004.

Bagarello F. An Operatorial Approach to Stock Markets. Journal of Physics A 2006; 39: 6823-6840.

Ballentine L E. Quantum Mechanics. Englewood Cliffs, 1989.

Beltrametti E. Classical Versus Quantum Probabilities, Chance in Physics, Lecture Notes in Physics, 574. Springer, 2001.

Berger J O. Statistical Decision Theory and Bayesian Analysis. Springer, 1985.

Bitbol M and Darrigol O. (Eds.). Erwin Schrödinger: Philosophy and the Birth of Quantum Mechanics. Editions Frontieres,1993.

Busemeyer J R, Wang Z, Townsend J T. Quantum Dynamics of Human Decision-Making. J Math Psych 2006; 50:220-241.

Camerer C F, Loewenstein G, Rabin R (Eds.). Advances in Behavioral Economics. Princeton University, 2003.

d’Espagnat B. Conceptual Foundations of Quantum Mechanics. Perseus Books, 1999.

Dulupçu M. and Okçu M. Towards Quantum Economic Development: Transcending Boundaries. Ankara SBF Dergisi 2000; 55(3): 29-53.

Franco R. Risk, Ambiguity and Quantum Decision Theory. http://arxiv.org/abs/0711.0886 Accessed date: May 11, 2014.

Franco R. The Conjunction Fallacy and Interference Effects. Journal of Mathematical Psychology 2009; 53:415-422.

Grant S. Choice Under Uncertainty.

http://www.owlnet.rice.edu/~econ501/lectures/L061030ChoiceUnderUncertaintyWEB.pdf Accessed Date: November, 2013.

Haven E. Pilot-Wave Theory and Financial Option Pricing. International Journal of Theoretical Physics 2005; 44: 1957-1962.

Heisenberg W. Physics and Philosophy. Harper & Row, Harper Torchbooks, 1958.

Kahneman D and Tversky A. Prospect theory: An Analysis of Decision under Risk. Econometrica 1979; 47: 263-292.

Karni E. Savages’ Subjective Expected Utility Model.

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.117.541&rep=rep1&type=pdf Accessed Date: November, 2013.

Karsten S G. Quantum Theory and Social Economics: The Holistic Approach of Modem Physics Serves Better Than Newton's Mechanics in Approaching Reality. The American Journal of Economics and Sociology 1990; 49(4): 385–399.

Khrennikov A. Quantum-like Formalism For Cognitive Measurements. BioSystems 2003; 70: 211–233.

Khrennikov A. Contextual Approach to Quantum Formalism. Fundamental Theories of Physics Vol. 160, Springer, 2009.

Khrennikov A Y and Haven E. Quantum mechanics and Violations of the Sure-Thing Principle: The Use of Probability Interference and Other Concepts. J Math Psych 2009; 53: 378-388.

Knight F. H. Risk, Uncertainty and Profit. Houghton Mifflin, 1921.

Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechnung. Springer, 1933.

Lambertini L. John von Neumann between Physics and Economics: A Methodological Note. Review of Economic Analysis 2013; 5: 177–189.

La Mura P. Projective Expected Utility. Journal of Mathematical Psychology 2009; 53: 408-414.

Lindgren B W. Elements of Decision Theory. Macmillan, 1971.

Machina M. J. Expected Utility Analysis Without the Independence Axiom. Econometrica 1982; 50: 277-323.

Machina M J. Non-Expected Utility Theory. In The New Palgrave Dictionary of Economics; Durlauf S N, Blume L E (Eds.); Macmillan, 2008.

Mermin N D. Is the Moon There When Nobody Looks? Reality and Quantum Theory. Phys Today 1985; April:38–47.

Montesano A. Effects of Uncertainty Aversion on the Call Option Market. Theory Decis. 2008; 65: 97-123.

Morier D M and Borgida E. The Conjunction Fallacy: A Task-Specific Phenomenon? Personal Soc Psychol Bull 1984; 10:243-253.

Peres A. Quantum Theory: Concepts and Methods. Kluwer Academic Publishers, 1994.

Pothos E M and Busemeyer J R. A Quantum Probability Explanation for Violations of ‘Rational’ Decision Theory. Proc Roy Soc B. 2009; 276:2171-2178.

Quiggin J. Risk Perception and Risk Aversion among Australian Farmers. Australian Journalof Agricultural Economics 1981; 25:160–169.

Quiggin J A. Theory of Anticiped Utility. J Econ Behav Org 1982; 3:323-343.

Ray R. Econophysics: Finance, Economics and Physics. Applied Economics Letters 2011; 18:273–277.

Savage L J. The Foundations of Statistics. NY: Wiley, 1954.

Schaden M. Quantum finance: A Quantum Approach to Stock Price Fluctuations. Physica A 2002; 316-511.

Schmeidler D. Subjective Probability and Expected Utility without Additivity. Econometrica 1989; 57:571-587.

Shafir E B, Smith E E, Osherson D N. Typicality and Reasoning Fallacies. Memory Cognition 1990; 18:229-239.

Shafir E and Tversky A. Thinking Through Uncertainty: Nonconsequential Reasoning and Choice. Cogn Psychol 1992; 24:449–474.

Simon H A. A Behavioral Model of Rational Choice. Quart J Econ 1955; 69:99-118.

Simon H. Models of Man. Wiley, 1957.

Tarlacı S. The Measurement Problem in Quantum Mechanics: Well, Where’s the Problem? NeuroQuantology

a; 10: 216-229.

Tarlacı S. The quantum measurement problem: How to Rescue a Cat from Schizophrenia? NeuroQuantology 2012b; 10: 519-531.

Tentori K, Bonini N, Osherson D. The Conjunction Fallacy: A Misunderstanding About Conjunction? Cognit Sci 2004; 28: 467-477.

Tversky A. A Critique of Expected Utility Theory: Descriptive and Normative Considerations. Erkenntnis 1975; 9: 163-173.

Tversky A and Kahneman D. Judgements of and by Representativeness. In Judgements Under Uncertainty: Heuristics and Biases; Kahneman D, Slovic P, Tversky A. (Eds.); CambridgeUniversity, 1980; 84-98.

Tversky A and Kahneman D. Judgment under Uncertainty: Heuristics and Biases. Science 1983a; 185:1124–1131.

Tversky A and Kahneman D. Extensional Versus Intuitive Reasoning: The Conjunction Fallacy in Probability Judgement. Psychol Rev 1983b; 90:293-315.

Tversky A and Kahneman D. Advances in Prospect Theory: Cumulative Representation of Uncertainty. Journal of Risk and Uncertainty 1992; 5:297-323.

Tversky A and Shafir E. The Disjunction Effect in Choice Under Uncertainty. Psychol Sci 1992; 3:305–309.

von Neumann J and Morgenstern O. Theory of Games and Economic Behavior. Princeton University Press, 1944.

von Neumann J. Mathematical Foundations of Quantum Mechanics. Princeton University Press, 1955.

Wakker P and Tversky A. An Axiomatization of Cumulative Prospect Theory. Journal of Risk and Uncertainty 1993; 7;147-175.

Weidlich W. Physics and Social Science–The Approach of Synergetics. Phys Rep 1991; 204:1-163.

Weirich P. Decision Space. Cambridge University, 2001.

Wigner E P. The Problem of Measurement. Am J Phys 1963; 31: 6-15.

Wigner E P. Symmetries and Reflections. Indiana University Press, 1967.

Zeckhauser R. Investing in the Unknown and Unknowable. Capitalism Soc 2006; 1:1-39.


Supporting Agencies

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.



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