2006/06/13 by Andrea De Martino, Matteo Marsili, De Martino, Andrea +1 · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Stochastic processes and financial applications #Theoretical and Computational Physics
paper · doi:10.48550/arxiv.physics/0606107
openalex publication_date 2006/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and traffic modeling. We then focus on the analysis of the optimal properties of large random resource-allocation problems and on Minority Games and related models of speculative trading in financial markets, discussing a number of extensions including multi-asset models, Majority Games and models with asymmetric information. Finally, we summarize the main conclusions and outline the major open problems and limitations of the approach.