Sociophysics model of bubbles with neural-stochastic differential equations : a stochastic inflation model
- This chapter gives an overview of new results concerning a sociophysics’ theory of bubbles. Following a seminal contribution by (Herzog 2015), we generalize the approach to nonlinear stochastic differential equations. We exhibit the mathematical theory of stochastic wave equations and introduce a novel calibration approach by utilizing neural stochastic differential equations. We numerically solve the problem by simulation methods in Julia language. Finally, we apply our method and analyze the presently elevated inflation rates (price bubble).
| Author of HS Reutlingen | Herzog, Bodo |
|---|---|
| DOI: | https://doi.org/10.1515/9783110987584-009 |
| ISBN: | 978-3-11-098758-4 |
| Erschienen in: | Select Topics of Econophysics |
| Publisher: | De Gruyter |
| Place of publication: | Berlin |
| Document Type: | Book chapter |
| Language: | English |
| Publication year: | 2025 |
| Page Number: | 19 |
| First Page: | 125 |
| Last Page: | 143 |
| DDC classes: | 530 Physik |
| Open access?: | Nein |
| Licence (German): |  In Copyright - Urheberrechtlich geschützt |
