Estudio Comparativo del desarrollo estadístico de un juego de minoría y la contraparte teórica y simulada del planteamiento cuántico del problema

Abstract

The physics of Pauli rotation matrices for an electron spin system are introduced as possible strategies in the study of game theory in a minority game for which mathematical language is applied to allow us to create scenarios In which individuals make decisions based on the results obtained in previous iterations to improve their payment function, by means of computer simulation using Monte Carlo techniques it is possible to reproduce multiple times the scenarios to make a comparative study between the statistical development of the solution of the minority game and develops the theoretical counterpart to compare the benefits that are available, the decision-making scheme is represented in a classic head or tail, whereas the quantum simile is represented by the spin ½ or -½ of an electron , In this simulation also study the different kinds of players who can participate to find the most stable solution of the system the same that is found when players take a strategy defined as quantum deterministic, finally makes a temporary evolution of several systems to determine the number of intruders that is necessary in order to stabilize the system.