Quasi-Periodicity of the Minority Game

GABRIEL ACOSTA; INÉS CARIDI; SEBASTIÁN GUALA; JAVIER MARENCO

Buenos Aires, Argentina

Congreso; Cuarto Congreso de Matemática Aplicada, Computacional e Industrial IV MACI; 2013

Asociación Argentina de Matemática aplicada, Computacional e Industrial (ASAMACI)ina de Matemática aplicada, computacional e Industrial (ASAMACI)

We analyze two well-known related aspects regarding the sequence of minority sides from the Minority Game (MG) in its symmetric phase: period-two dynamics and quasi-periodic behavior. We introduced the MG prior, namely an MG with a new choosing rule of the strategy to play, which takes into account both prior preferences and game information. In this way, each time an agent is undecided because two of her best strategies predict different choices while being equally successful so far, she selects her a priori favorite strategy to play, instead of performing random tie-break as in the M G. This new choosing rule leaves the generic behavior of the model unaffected and simplifies the analysis of the periodicity behavior.