From interacting agents to Boltzmann-Gibbs distribution of money
F Cao, PE Jabin - Nonlinearity, 2024 - iopscience.iop.org
We investigate the unbiased model for money exchanges: agents give at random time a
dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a …
dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a …
From the binomial reshuffling model to Poisson distribution of money
F Cao, NF Marshall - arXiv preprint arXiv:2212.14388, 2022 - arxiv.org
We present a novel reshuffling exchange model and investigate its long time behavior. In
this model, two individuals are picked randomly, and their wealth $ X_i $ and $ X_j $ are …
this model, two individuals are picked randomly, and their wealth $ X_i $ and $ X_j $ are …
The iterative persuasion-polarization opinion dynamics and its mean-field analysis
F Cao, S Reed - arXiv preprint arXiv:2408.00148, 2024 - arxiv.org
In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the
dynamics of opinion formation and change within a population. The IPP model integrates …
dynamics of opinion formation and change within a population. The IPP model integrates …
Uniform propagation of chaos for a dollar exchange econophysics model
We study the poor-biased model for money exchange introduced in Cao & Motsch ((2023)
Kinet. Relat. Models 16 (5), 764–794.): agents are being randomly picked at a rate …
Kinet. Relat. Models 16 (5), 764–794.): agents are being randomly picked at a rate …
Sticky dispersion on the complete graph: a kinetic approach
We study a variant of the dispersion process on the complete graph introduced in the recent
work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to …
work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to …
Quantitative convergence guarantees for the mean-field dispersion process
We study the dispersion process on the complete graph introduced in the recent work\cite
{de_dispersion_2023} under the mean-field framework. In contrast to the probabilistic …
{de_dispersion_2023} under the mean-field framework. In contrast to the probabilistic …