Application of the Fermi function in money exchange

Fuente: arXiv
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Auteur principal: Li, Hsin-Lun
Format: Preprint
Publié: 2023
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author Li, Hsin-Lun
author_facet Li, Hsin-Lun
contents In a money exchange process involving a seller and a buyer, we develop a straightforward model encompassing conservative, non-conservative, and systems with or without debt. Our model integrates the Fermi function to capture the behavior of buyers and sellers. Under certain circumstances, we identify an equation that marks the phase transition between a stable equal wealth state across all connected social graphs and an unstable equal wealth state in some connected social graph.
format Preprint
id arxiv_https___arxiv_org_abs_2307_01617
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Application of the Fermi function in money exchange
Li, Hsin-Lun
Dynamical Systems
Probability
91C20, 91D25, 94C15
In a money exchange process involving a seller and a buyer, we develop a straightforward model encompassing conservative, non-conservative, and systems with or without debt. Our model integrates the Fermi function to capture the behavior of buyers and sellers. Under certain circumstances, we identify an equation that marks the phase transition between a stable equal wealth state across all connected social graphs and an unstable equal wealth state in some connected social graph.
title Application of the Fermi function in money exchange
topic Dynamical Systems
Probability
91C20, 91D25, 94C15
url https://arxiv.org/abs/2307.01617