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

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

1 Experimental Economics, Todo1 Services Inc, Miami Fl 33126, USA 2 GATE, UMR 5824 CNRS - France 3 Research and Development Department, Petroecuador, Quito-Ecuador
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

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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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