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Entropy 2003, 5(4), 313-347; doi:10.3390/e5040313
Article

Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy

1,2,3
Received: 15 November 2002; Accepted: 5 November 2003 / Published: 15 November 2003
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Abstract: This paper introduces Hermite's polynomials, in the description of quantum games. Hermite's polynomials are associated with gaussian probability density. The gaussian probability density represents minimum dispersion. I introduce the concept of minimum entropy as a paradigm of both Nash's 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?.
Keywords: quantum games. minimum entropy. time series. Nash-Hayek equilibrium quantum games. minimum entropy. time series. Nash-Hayek equilibrium
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Jiménez, E. Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy. Entropy 2003, 5, 313-347.

AMA Style

Jiménez E. Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy. Entropy. 2003; 5(4):313-347.

Chicago/Turabian Style

Jiménez, Edward. 2003. "Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy." Entropy 5, no. 4: 313-347.


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