Estadística de las trayectorias más exitosas en el juego de minorías

The present paper considers the decision problem of the bar “El Farol”, posed by the economist Brian Arthur. From which the computational algorithm that simulates the decision problem with a large number of rational agents was developed, best known as the game of minorities. The game of minorities turns out to be a problem of game theory that exhibits the time competition that exists between adaptive rational agents. The complexity that characterizes the problem arises from the fact that people do not interact directly with each other, but through a common closed environment created by themselves. In addition to reproducing the most cited results of the same, we simulate a set of “mixed games” in order to contrast different memories to determine in which of them the agents involved in the game get better performance or better gains over time. So we study their statistical properties, more specifically, the statistical distribution that players’ earnings exhibit over time.