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By incorporating market impact and asymmetric sensitivity into the evolutionary minority game, we study the coevolutionary dynamics of stock prices and investment strategies in financial markets. Both the stock price movement and the…

Trading and Market Microstructure · Quantitative Finance 2015-06-11 Li-Xin Zhong , Wen-Juan Xu , Fei Ren , Yong-Dong Shi

Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · Physics 2015-06-30 J. Doyne Farmer

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

By analyzing a large data set of daily returns with data clustering technique, we identify economic sectors as clusters of assets with a similar economic dynamics. The sector size distribution follows Zipf's law. Secondly, we find that…

Statistical Mechanics · Physics 2008-12-02 Matteo Marsili

The profitability of various investment styles in investment funds depends on macroeconomic conditions. Market ecology, which views financial markets as ecosystems of diverse, interacting and evolving trading strategies, has shown that…

Multiagent Systems · Computer Science 2022-10-26 Aymeric Vie , Maarten Scholl , Alissa M. Kleinnijenhuis , J. Doyne Farmer

The effects of saving and spending patterns on holding time distribution of money are investigated based on the ideal gas-like models. We show the steady-state distribution obeys an exponential law when the saving factor is set uniformly,…

Physics and Society · Physics 2009-11-11 Ning Ding , Ning Xi , Yougui Wang

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

Pricing of Securities · Quantitative Finance 2008-12-02 Gordan Zitkovic

We introduce a new system of stochastic differential equations which models dependence of market beta and unsystematic risk upon size, measured by market capitalization. We fit our model using size deciles data from Kenneth French's data…

Statistical Finance · Quantitative Finance 2021-04-28 Andrey Sarantsev , Blessing Ofori-Atta , Brandon Flores

Phenomena as diverse as breeding bird populations, the size of U.S. firms, money invested in mutual funds, the GDP of individual countries and the scientific output of universities all show unusual but remarkably similar growth…

Physics and Society · Physics 2010-05-03 Yonathan Schwarzkopf , Robert L. Axtell , J. Doyne Farmer

We study size and growth distributions of products and business firms in the context of a given industry. Firm size growth is analyzed in terms of two basic mechanisms, i.e. the increase of the number of new elementary business units and…

Condensed Matter · Physics 2009-11-10 G. De Fabritiis , F. Pammolli , M. Riccaboni

We investigated financial market data to determine which factors affect information flow between stocks. Two factors, the time dependency and the degree of efficiency, were considered in the analysis of Korean, the Japanese, the Taiwanese,…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Woo-Sung Jung , Sunghoon Choi , Gabjin Oh , Seunghwan Kim

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor's 500…

Physics and Society · Physics 2008-12-02 Jae-Suk Yang , Wooseop Kwak , Taisei Kaizoji , In-mook Kim

Metastability is a phenomenon observed in stochastic systems which stay in a false-equilibrium within a region of its state space until the occurrence of a sequence of rare events that leads to an abrupt transition to a different region.…

General Economics · Economics 2023-12-18 Diego Marcondes , Adilson Simonis

The measured correlations of financial time series in subsequent epochs change considerably as a function of time. When studying the whole correlation matrices, quasi-stationary patterns, referred to as market states, are seen by applying…

Statistical Finance · Quantitative Finance 2020-11-03 Anton J. Heckens , Sebastian M. Krause , Thomas Guhr

We study self-organized models for information transmission and herd behavior in financial markets. Existing models are generalized to take into account the effect of size-dependent fragmentation and coagulation probabilities of groups of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Dafang Zheng , G. J. Rodgers , P. M. Hui , R. D'Hulst

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

This paper provides a general method to translate a standard economic model with a large number of agents into a field-formalism model. This formalism preserves the system's interactions and microeconomic features at the individual level…

General Finance · Quantitative Finance 2023-12-29 Pierre Gosselin , Aïleen Lotz

In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representative investor exhibits a change in the discount rate. The investment opportunities are a…

Optimization and Control · Mathematics 2011-07-12 Traian A. Pirvu , Huayue Zhang

We introduce an auto-regressive model which captures the growing nature of realistic markets. In our model agents do not trade with other agents, they interact indirectly only through a market. Change of their wealth depends, linearly on…

General Finance · Quantitative Finance 2009-07-28 Urna Basu , P. K. Mohanty

The law of proportionate growth simply states that the time dependent change of a quantity $x$ is proportional to $x$. Its applicability to a wide range of dynamic phenomena is based on various assumptions for the proportionality factor,…

Physics and Society · Physics 2019-09-04 Frank Schweitzer