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 …
Uncovering a two-phase dynamics from a dollar exchange model with bank and debt
We investigate the unbiased model for money exchanges with collective debt limit: agents
give at random time a dollar to one another as long as they have at least one dollar or they …
give at random time a dollar to one another as long as they have at least one dollar or they …
A biased dollar exchange model involving bank and debt with discontinuous equilibrium
F Cao, S Reed - arXiv preprint arXiv:2311.07851, 2023 - arxiv.org
In this work, we investigate a biased dollar exchange model with collective debt limit, in
which agents picked at random (with a rate depending on the amount of dollars they have) …
which agents picked at random (with a rate depending on the amount of dollars they have) …
Explicit decay rate for the Gini index in the repeated averaging model
F Cao - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
We investigate the repeated averaging model for money exchanges: two agents picked
uniformly at random share half of their wealth to each other. It is intuitively convincing that a …
uniformly at random share half of their wealth to each other. It is intuitively convincing that 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 …
Derivation of wealth distributions from biased exchange of money
In the manuscript, we are interested in using kinetic theory to better understand the time
evolution of wealth distribution and their large scale behavior such as the evolution of …
evolution of wealth distribution and their large scale behavior such as the evolution of …
Uniform propagation of chaos for a dollar exchange econophysics model
We study the poor-biased model for money exchange introduced in [2]: agents are being
randomly picked at a rate proportional to their current wealth, and then the selected agent …
randomly picked at a rate proportional to their current wealth, and then the selected agent …
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 …
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 …
Hallmarks of Deception in Asset-Exchange Models
We investigate the transient and steady-state dynamics of the Bennati-Dregulescu-
Yakovenko money game in the presence of probabilistic cheaters, who can misrepresent …
Yakovenko money game in the presence of probabilistic cheaters, who can misrepresent …