Thermal treatment of the minority game

• Autores: Burgos, E.; Ceva, H.; Perazzo, R.P.J.
• Año de publicación: 2002
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: Phys Rev E. 2002;65(3)
• Materia: Annealing; Computer simulation; Costs; Game theory; Mathematical models; Optimization; Perturbation techniques; Temperature measurement; Bar attendance model (BAM); Cost functions; Minority game (MG); Thermal perturbation; Heat treatment
• Institución: Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales

We study a cost function for the aggregate behavior of all the agents involved in the minority game (MG) or the bar attendance model (BAM). The cost function allows us to define a deterministic, synchronous dynamic that yields results that have the main relevant features than those of the probabilistic, sequential dynamics used for the MG or the BAM. We define a temperature through a Langevin approach in terms of the fluctuations of the average attendance. We prove that the cost function is an extensive quantity that can play the role of an internal energy of the many-agent system while the temperature so defined is an intensive parameter. We compare the results of the thermal perturbation to the deterministic dynamics and prove that they agree with those obtained with the MG or BAM in the limit of very low temperature. © 2002 The American Physical Society.
Fil:Burgos, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Ceva, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Perazzo, R.P.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.