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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.01617 |
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| _version_ | 1866912009307553792 |
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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 |