Econophysics: Empirical facts and agent-based models
arXiv:0909.1974
Abstract
This article aims at reviewing recent empirical and theoretical developments usually grouped under the term Econophysics. Since its name was coined in 1995 by merging the words Economics and Physics, this new interdisciplinary field has grown in various directions: theoretical macroeconomics (wealth distributions), microstructure of financial markets (order book modelling), econometrics of financial bubbles and crashes, etc. In the first part of the review, we discuss on the emergence of Econophysics. Then we present empirical studies revealing statistical properties of financial time series. We begin the presentation with the widely acknowledged stylized facts which describe the returns of financial assets- fat tails, volatility clustering, autocorrelation, etc.- and recall that some of these properties are directly linked to the way time is taken into account. We continue with the statistical properties observed on order books in financial markets. For the sake of illustrating this review, (nearly) all the stated facts are reproduced using our own high-frequency financial database. Finally, contributions to the study of correlations of assets such as random matrix theory and graph theory are presented. In the second part of the review, we deal with models in Econophysics through the point of view of agent-based modelling. Amongst a large number of multi-agent-based models, we have identified three representative areas. First, using previous work originally presented in the fields of behavioural finance and market microstructure theory, econophysicists have developed agent-based models of order-driven markets that are extensively presented here. Second, kinetic theory models designed to explain some empirical facts on wealth distribution are reviewed. Third, we briefly summarize game theory models by reviewing the now classic minority game and related problems.
51 pages REVTeX format, review paper submitted to Quantitative Finance
References in corpus (44)
- Noise Dressing of Financial Correlation Matrices
- Dynamics of market correlations: Taxonomy and portfolio analysis
- Inverse Cubic Law for the Probability Distribution of Stock Price Variations
- Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States
- Colloquium: Statistical mechanics of money, wealth, and income
- Price Variations in a Stock Market With Many Agents
- Statistical theory of the continuous double auction
- Evidence for the exponential distribution of income in the USA
- Correlations in Economic Time Series
- Wealth Distributions in Models of Capital Exchange
- Economics need a scientific revolution
- Dynamic asset trees and Black Monday
- Pareto Law in a Kinetic Model of Market with Random Saving Propensity
- Power Laws are Logarithmic Boltzmann Laws
- More statistical properties of order books and price impact
- Volatility distribution in the S&P500 Stock Index
- Multiplicative processes and power laws
- Dynamic asset trees and portfolio analysis
- Inelastically scattering particles and wealth distribution in an open economy
- A statistical model with a standard Gamma distribution
- Price fluctuations from the order book perspective - empirical facts and a simple model
- Distributions of money in model markets of economy
- Analyzing and modelling 1+1d markets
- Dynamics of Money and Income Distributions
- Master equation for a kinetic model of trading market and its analytic solution
- A model for correlations in stock markets
- Money in Gas-Like Markets: Gibbs and Pareto Laws
- Gibbs versus non-Gibbs distributions in money dynamics
- Mean-field approximation for a limit order driven market model
- The statistical distribution of money and the rate of money transference
- Generic features of the wealth distribution in ideal-gas-like markets
- Systems with Correlations in the Variance: Generating Power-Law Tails in Probability Distributions
- Influence of saving propensity on the power law tail of wealth distribution
- Correlation between Risk Aversion and Wealth distribution
- Evolution in Minority Games II. Games with Variable Strategy Spaces
- Money Exchange Model and a general Outlook
- Kinetic theory models for the distribution of wealth: power law from overlap of exponentials
- Relaxation in statistical many-agent economy models
- Critical comparison of several order-book models for stock-market fluctuations
- An analytic treatment of the Gibbs-Pareto behavior in wealth distribution
- Model of Wealth and Goods Dynamics in a Closed Market
- Stochastic volatility of financial markets as the fluctuating rate of trading: an empirical study
- A distribution function analysis of wealth distribution
- On distribution of number of trades in different time windows in the stock market
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- The near-extreme density of intraday log-returns
- How spread changes affect the order book: Comparing the price responses of order deletions and placements to trades
- Foreign exchange markets: price response and spread impact
- Modeling high-frequency order flow imbalance by functional limit theorems for two-sided risk processes
- Memory effects in stock price dynamics: evidences of technical trading
- Max-plus objects to study the complexity of graphs