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Quantum-like microeconomics: Statistical model of distribution of investments and production

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  • Khrennikov, Andrei

Abstract

In this paper we demonstrate that the probabilistic quantum-like (QL) behavior–the Born’s rule, interference of probabilities, violation of Bell’s inequality, representation of variables by in general noncommutative self-adjoint operators, Schrödinger’s dynamics–can be exhibited not only by processes in the micro world, but also in economics. In our approach the QL-behavior is induced not by properties of systems. Here systems (commodities) are macroscopic. They could not be superpositions of two different states. In our approach the QL-behavior of economical statistics is a consequence of the organization of the process of production as well as investments. In particular, Hamiltonian (“financial energy”) is determined by rate of return.

Suggested Citation

  • Khrennikov, Andrei, 2008. "Quantum-like microeconomics: Statistical model of distribution of investments and production," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5826-5843.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:23:p:5826-5843
    DOI: 10.1016/j.physa.2008.06.037
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    References listed on IDEAS

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    1. Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003. "Interference of quantum market strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.
    2. Haven, Emmanuel, 2004. "The wave-equivalent of the Black–Scholes option price: an interpretation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 142-145.
    3. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle," Departmental Working Papers 8, University of Bialtystok, Department of Theoretical Physics.
    4. Haven, Emmanuel, 2003. "A Black-Scholes Schrödinger option price: ‘bit’ versus ‘qubit’," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 201-206.
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    Cited by:

    1. Baaquie, Belal E. & Yu, Miao & Du, Xin, 2016. "Multiple commodities in statistical microeconomics: Model and market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 912-929.

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