2007/07/20 by Christoly Biely, Biely, Christoly, Rudolf Hanel +3
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #FOS: Physical sciences #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.0707.3085
5 pages 3 figs
openalex publication_date 2007/07/20 · arxiv created 2008/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider social systems in which agents are not only characterized by their states but also have the freedom to choose their interaction partners to maximize their utility. We map such systems onto an Ising model in which spins are dynamically coupled by links in a dynamical network. In this model there are two dynamical quantities which arrange towards a minimum energy state in the canonical framework: the spins, si, and the adjacency matrix elements, cij. The model is exactly solvable because microcanonical partition functions reduce to products of binomial factors as a direct consequence of the cij minimizing energy. We solve the system for finite sizes and for the two possible thermodynamic limits and discuss the phase diagrams.