2001/07/04 by E. Burgos, Horacio Ceva, R. P. J. Perazzo +1 · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #Complex Systems and Time Series Analysis #Evolutionary Game Theory and Cooperation #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physreve.65.036711
9 pages in PRE format, 6 figures
arxiv created 2001/07/04 · openalex publication_date 2002/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.