2012/10/24 by Ricardo López‐Ruiz, Lopez-Ruiz, Ricardo
Economics, Econometrics and Finance · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Economics and business #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Trading and Market Microstructure (q-fin.TR)
paper · pdf · doi:10.48550/arxiv.1210.6481
openalex publication_date 2012/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an N-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwellian) distribution of velocities. Moreover, two non-linear models are proposed to explain the decay of these statistical systems from an out-of-equilibrium situation toward their asymptotic equilibrium states.