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

by 1,2,3
1
Experimental Economics, Todo1 Services Inc, Miami Fl 33126, USA
2
GATE, UMR 5824 CNRS - France
3
Research and Development Department, Petroecuador, Quito-Ecuador
Entropy 2003, 5(4), 313-347; https://doi.org/10.3390/e5040313
Received: 15 November 2002 / Accepted: 5 November 2003 / Published: 15 November 2003
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?. View Full-Text
Keywords: quantum games. minimum entropy. time series. Nash-Hayek equilibrium 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. https://doi.org/10.3390/e5040313

AMA Style

Jiménez E. Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy. Entropy. 2003; 5(4):313-347. https://doi.org/10.3390/e5040313

Chicago/Turabian Style

Jiménez, Edward. 2003. "Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy" Entropy 5, no. 4: 313-347. https://doi.org/10.3390/e5040313

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