Abstract
Our interest to irrationality is mainly due to the agent modeling of unequal society and especially due to the study of critical phenomena in such models. Unfortunately, many similar models miss a point of agent irrational behavior. The last one dramatically change the model behavior. We argue that many current attempts to use quantum approach to describe irrational behavior deal in fact with the rational one. We also further elaborate the approach proposed by authors earlier and based on the definition of irrationality per se. It has been demonstrated that it is possible to define irrational action as the action which makes situation worser without any hope to improve it in future. It is shown that quantum approach is needed to describe this irrational behavior. Concretely, taking into account the analogy between decisions governed by classical implication function and simulated annealing it was shown that staying in classical domain it is impossible to receive decisions which are not rational. We also propose new different generalizations of the classical implication function to quantum domain which lead to the description of different kinds of irrationality including ones that suggest suicide-like behavior. These generalizations show analogy between modeling of irrational behavior and also of quantum simulated annealing.
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Ezhov, A.A., Khromov, A.G., Terentyeva, S.S.: Artificial intelligence and machine learning for quantum computing: A Tutorial at the International Joint Conference on Neural Networks (IJCNN) 2015, 12 July 2015. http://webs.wichita.edu/depttools/depttoolsmemberfiles/quantumresearch/Australia%20conference/Ezhov.pdf
Asano, M., Ohya, M., Tanaka, Y., Khrennikov, I.A.: Quantum-like model of brain’s functioning: Decision making from decoherence. J. of Theor. Biol. 281(1), 56 (2011)
Yukalov, V.I., Sornette, D.: Quantitative Predictions in Quantum Decision Theory(2018). arXiv:1802.06348v1[physics.soc-ph]
Bussemeyer, J.R., Wang, Z.: What is quantum cognition, and how is it applied to psychology? Curr. Dir. Psychol. Sci. 24(3), 163 (2015)
Das, A., Chakrabarti, B.K.: Colloquium: Quantum annealing and analog quantum computation. Rev. Mod. Phys. 80, 1061 (2008)
Ezhov, A.A., Khrennikov, AYu.: Agents with left and right dominant hemispheres and quantum statistics. Phys. Rev. E 71, 016138 (2005)
Ezhov, A.A., Khrennikov, A.Yu., Terentyeva, S.S.: Indications of a possible symmetry and its breaking in a many-agent model obeying quantum statistics. Phys. Rev. E 77, 031126 (2008)
Ball, P.: News Feature. Nature 441, 686 (2006)
Güth, W., Schmittberger, R., Schwarze, B.: J. of Economic Beh. Org. 3, 367 (1982)
Fiala, J., Starý, O., Fialová, H., Holasová, A., Fialová, M.: Acta Oeconomica Pragensia 25(1), 64 (2017)
Flood, M.M.: Some experimental games. Research memorandum RM-789. RAND Corporation, Santa Monica (1952)
Fuentesa, M.A., Kuperman, M., Iglesias, J.R.: Living in an irrational society: Wealth distribution with correlations between risk and expected profits. Physica A. 371(1), 112–117 (2006)
Kralik, J.D., Xu, E.R., Knight, E.J., Khan, S.A., Levine, W.J.: When less is more: Evolutionary origins of the affect heuristic. PLoS ONE 7(10), e46240 (2012)
Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: Equation of state calculations by fast computing machines. J. Chem. Phys. 21(6), 1087 (1953)
Ariely, D.: Predictably Irrational, Harper Collins Publishers, New York (2008)
Lefebvre, V.: Algebra of Conscience. Kluwer Academic Publ., Dordrecht/Boston/London (2001)
Ezhov, A.A., Bur’yanitsa, A.V., Terentyeva, S.S., Khvalina, A.S.: In: Econophysics, MEPhI, Moscow, 529 (2007)
Murtagh, F.: Identifying the ultrametricity of time series. Eur. Phys. J. B 43, 573 (2005)
Sornette, D., Yukalov, V.I.: Quantitative Predictions in Quantum Decision Theory, 18 Feb 2018. arXiv:1802.06348v1[physics.soc-ph]
Camus, A.: The Myth of Sisyphus. Hamish Hamilton, London (1955)
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Ezhov, A.A., Khromov, A.G., Terentyeva, S.S. (2019). Quantumness and Irrationality. In: Kryzhanovsky, B., Dunin-Barkowski, W., Redko, V., Tiumentsev, Y. (eds) Advances in Neural Computation, Machine Learning, and Cognitive Research II. NEUROINFORMATICS 2018. Studies in Computational Intelligence, vol 799. Springer, Cham. https://doi.org/10.1007/978-3-030-01328-8_1
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DOI: https://doi.org/10.1007/978-3-030-01328-8_1
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