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Quantum games: mixed strategy Nash's equilibrium represents minimum entropy (Q1769740)

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scientific article; zbMATH DE number 2148946
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English
Quantum games: mixed strategy Nash's equilibrium represents minimum entropy
scientific article; zbMATH DE number 2148946

    Statements

    Quantum games: mixed strategy Nash's equilibrium represents minimum entropy (English)
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    22 March 2005
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    Summary: This paper introduces Hermite polynomials, in the description of quantum games. Hermite's polynomials are associated with Gaussian probability density. The Gaussian probability density represents minimum dispersion. The author introduces the concept of minimum entropy as a paradigm of both Nash equilibrium (maximum utility MU) and Hayek equilibrium (minimum entropy ME). The ME concept is related to quantum games. Some questions arise after carrying out this exercise: i) What does Heisenberg's uncertainty principle represent in Game Theory and Time Series?, and ii) What do the postulates of Quantum Mechanics indicate in Game Theory and Economics?
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    quantum games
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    minimum entropy
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    time series
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    Nash-Hayek equilibrium
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