Thermal treatment of the minority game

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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 probabilis...

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Detalles Bibliográficos
Autores principales: Burgos, E., Ceva, H., Perazzo, R.P.J.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n3_p_Burgos
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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