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Quantum logics, games, and equilibriums

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Abstract

We establish a natural relation between antagonistic matrix games and ortholattices (quantum logics).We show that an equilibrium in the corresponding quantum game determines the operator representation of a quantum logic. We formulate a condition for quantum equilibrium.

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Authors and Affiliations

  1. Hertsen Russian State Pedagogical University, St. Petersburg, Russia

    A. A. Grib

  2. St. Petersburg State University of Economics and Finance, St. Petersburg, Russia

    G. N. Parfionov

Authors
  1. A. A. Grib
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  2. G. N. Parfionov
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Correspondence to A. A. Grib.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 169, No. 2, pp. 259–271, November, 2011.

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Grib, A.A., Parfionov, G.N. Quantum logics, games, and equilibriums. Theor Math Phys 169, 1589–1599 (2011). https://doi.org/10.1007/s11232-011-0136-5

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  • DOI: https://doi.org/10.1007/s11232-011-0136-5

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