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

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

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 bo...

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Bibliographic Details
Main Author: Edward Jiménez
Format: Article
Language:English
Published: MDPI AG 2003-11-01
Series:Entropy
Subjects:
quantum games. minimum entropy. time series. Nash-Hayek equilibrium
Online Access:http://www.mdpi.com/1099-4300/5/4/313/
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spelling doaj-b2e93573fc244bad83daaada0b0b0bc82020-11-24T21:36:56ZengMDPI AGEntropy1099-43002003-11-015431334710.3390/e5040313Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum EntropyEdward JiménezAbstract: 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?.http://www.mdpi.com/1099-4300/5/4/313/quantum games. minimum entropy. time series. Nash-Hayek equilibrium
collection DOAJ
language English
format Article
sources DOAJ
author Edward Jiménez
spellingShingle Edward Jiménez
Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
Entropy
quantum games. minimum entropy. time series. Nash-Hayek equilibrium
author_facet Edward Jiménez
author_sort Edward Jiménez
title Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
title_short Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
title_full Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
title_fullStr Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
title_full_unstemmed Quantum Games: Mixed Strategy Nash's Equilibrium Represents Minimum Entropy
title_sort quantum games: mixed strategy nash's equilibrium represents minimum entropy
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2003-11-01
description 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?.
topic quantum games. minimum entropy. time series. Nash-Hayek equilibrium
url http://www.mdpi.com/1099-4300/5/4/313/
work_keys_str_mv AT edwardjimaƒanez quantumgamesmixedstrategynashsequilibriumrepresentsminimumentropy
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