Econophysics and Nonlinear Approaches to Quantitative Finance
Summary
The question asks whether quantitative finance has a counterpart to complex economics, focusing on markets as dynamic systems in which participants’ forecasts and trading can influence future prices. It contrasts the usual emphasis on option pricing and time-series forecasting with an interest in feedback, evolving behavior, and system-wide dynamics.
The answer points to econophysics as an interdisciplinary route, recommending a book that connects statistical physics, empirical observations of asset-price behavior, risk management, and derivative pricing. It also mentions research on trading strategies evolving within artificial stock markets as a related topic. These pointers provide entry points rather than a structured survey: no specific model, empirical result, or quantitative method is explained, and the answer does not establish a single accepted field or overarching framework for nonlinear quantitative finance.
Key ideas
- Econophysics applies ideas from the physical sciences to financial and economic questions.
- Empirical study of asset-price statistics can motivate theories and quantitative predictions.
- Research on evolving strategies in artificial markets offers another route to studying market dynamics.
- The answer provides reading leads but no specific model or evidence to evaluate.
Tags
Full text
# Non-linear Dynamical Systems and Quantitave Finance # Non-linear Dynamical Systems and Quantitave Finance The vast majority of what I have read about quantitave finance is to do with option pricing and time series analysis for forecasting. However the economy as a whole behaves as a dynamic system with people forecasting stock prices then having a direct impact on future stock prices. I have read some interesting research on this in terms of a general economic viewpoint, but has there been anything in terms of a quantitive finance outlook? The economic theory is generally called Complex Economics but I couldn't find an a analagous Complex Quantitave Finance. ## Answer by vonjd (score 3) https://quant.stackexchange.com/a/12941 This book might be what you are looking for: Theory of Financial Risk and Derivative Pricing. From Statistical Physics to Risk Management by J.-P. Bouchaud and M. Potters As one reviewer from amazon wrote: > Econophysics (the application of techniques developed in the physical sciences to economic, business and financial problems) has emerged as a newly active field of interdisciplinary research. `Theory of Financial Risks' (written by two of the pioneers of this field) highlights very clearly the contribution that physicists can make to quantitative finance. From the outset the point of view of the book is one of empirical observation (of the statistical properties of asset price dynamics) followed by the development of theories attempting to explain these results and enabling quantitative predictions to be made. This philosophy is reflected in the structure of the book. [...] Excerpts can be found on the accompanying site of Cambridge University Press: Here EDIT I know of no current overarching book but there are several papers out there that address the issues of evolving trading strategies in an artificial stock market. Try the following google search.
Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.