Edward Jiménez1,2,3
1Experimental Economics, Todo1 Services Inc, Miami Fl 33126
2GATE, UMR 5824 CNRS - France
3Research and Development Department, Petroecuador, Quito-Ecuador
E-mail: [email protected]
Present address: Paul Rivet y 6 de Diciembre (Edif EL PINAR), Quito-Ecuador
Received: 15 Nov 2002 / Accepted: 5 Nov 2003 / Published: 15 Nov 2003
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?.
PACS codes: 03.67.Lx, 03.65.Ge
MSC 2000 codes: 91A22, 91A23, 91A40
Keywords: quantum games. minimum entropy. time series. Nash-Hayek equilibrium.