We present an experimental and simulated model of a multi-agent stock market driven by a double auction order matching mechanism. Studying the effect of cumulative information on the performance of traders, we find a non monotonic relationship of net returns of traders as a function of...

This paper presents a possible explanation for some of the empirical properties of asset returns within a heterogeneous-agents framework. The model turns out, even if we assume the input fundamental value follows a simple Gaussian distribution lacking both fat tails and volatility dependence,...

A simple agent-based model is used to propose an explanation of the source of long-run memory in financial markets. It is shown that the resulting model is equivalent to a neutral-type differential equation in the price dynamics, which displays a persistence property that can be related to...

We first show that there are in fact triangular arbitrage opportunities in the spot foreign exchange markets, analyzing the time dependence of the yen–dollar rate, the dollar–euro rate and the yen–euro rate. Next, we propose a model of foreign exchange rates with an interaction. The model...

We present a simple microscopic model of financial markets based on belief propagation in order to simulate the dynamics of the stock markets. A two-dimensional small-world communication structure is introduced in our model and the beliefs of market leaders spread on the network which results in...

Empirical evidence of a multifractal signature during increasing of a financial bubble leading to a crash is presented. The April 2000 crash in the NASDAQ composite index and a time series from the discrete Chakrabarti–Stinchcombe model for earthquakes are analyzed using a geometric approach...

The turbulence in magnetized plasma and financial data of Russian market have been studied in terms of the multifractal formalism revisited with wavelets. The multifractal formalism based on wavelet calculations allows one to study the scaling properties of turbulent fluctuations. It is observed...

We discuss the statistical properties of index returns in a financial market just after a major market crash. The observed non-stationary behavior of index returns is characterized in terms of the exceedances over a given threshold. This characterization is analogous to the Omori law originally...

Empirical analysis of financial time series suggests that the underlying stochastic dynamics are not only non-stationary, but also exhibit non-stationary increments. However, financial time series are commonly analyzed using the sliding interval technique that assumes stationary increments. We...