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We suggest that the broad distribution of time scales in financial markets could be a crucial ingredient to reproduce realistic price dynamics in stylised Agent-Based Models. We propose a fractional reaction-diffusion model for the dynamics…

Mathematical Finance · Quantitative Finance 2018-03-14 Michael Benzaquen , Jean-Philippe Bouchaud

In this review article we explore several recent advances in the quantitative modeling of financial markets. We begin with the Efficient Markets Hypothesis and describe how this controversial idea has stimulated a number of new directions…

adap-org · Physics 2009-10-31 J. Doyne Farmer , Andrew W. Lo

Financial markets are subject to long periods of polarized behavior, such as bull-market or bear-market phases, in which the vast majority of market participants seem to almost exclusively choose one action (between buying or selling) over…

Physics and Society · Physics 2007-05-23 Sitabhra Sinha , Srinivas Raghavendra

We study social behaviour of agents on capital markets when these are perturbed by small perturbations. We use the mean field method. Social behaviour of agents on capital markets is described: volatility of the market, aversion constant…

Physics and Society · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

This study evaluates the scale-dependent informational efficiency of stock markets using the Financial Chaos Index, a tensor-eigenvalue-based measure of realized volatility. Incorporating Granger causality and network-theoretic analysis…

Statistical Finance · Quantitative Finance 2025-05-06 Masoud Ataei

We investigate the behavior of systems of interacting diffusion processes, known as volatility-stabilized market models in the mathematical finance literature, when the number of diffusions tends to infinity. We show that, after an…

Probability · Mathematics 2011-02-18 Mykhaylo Shkolnikov

In this paper we seek to demonstrate the predictability of stock market returns and explain the nature of this return predictability. To this end, we introduce investors with different investment horizons into the news-driven, analytic,…

General Finance · Quantitative Finance 2016-03-30 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

Traders and investors involved in an option contract having the underlying stock in range bound are likely to lose their initial investment. Timing in buying an option contract is of capital importance. In a recent article [1] the…

General Finance · Quantitative Finance 2013-07-24 Ovidiu Racorean

We discuss the stationary states of a model economy in which $N$ heterogeneous adaptive consumers purchase commodity bundles repeatedly from $P$ sellers. The system undergoes a transition from an inefficient to an efficient state as the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea De Martino , Matteo Marsili

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

We develop original models to study interacting agents in financial markets and in social networks. Within these models randomness is vital as a form of shock or news that decays with time. Agents learn from their observations and learning…

Mathematical Finance · Quantitative Finance 2023-07-14 Ionel Popescu , Tushar Vaidya

Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition for limited resources. The agents…

Statistical Mechanics · Physics 2009-11-10 M. Anghel , Zoltan Toroczkai , Kevin E. Bassler , G. Korniss

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

The "Money Exchange Model" is a type of agent-based simulation model used to study how wealth distribution and inequality evolve through monetary exchanges between individuals. The primary focus of this model is to identify the limiting…

Probability · Mathematics 2025-01-07 Hironobu Sakagawa

Transactions are an important aspect of human social life, and represent dynamic flow of information, intangible values, such as trust, as well as monetary and social capital. Although much research has been conducted on the nature of…

Computer Science and Game Theory · Computer Science 2025-05-23 Mayank Kejriwal , Yuesheng Luo

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We…

Mathematical Finance · Quantitative Finance 2018-06-22 Michail Anthropelos , Constantinos Kardaras , Georgios Vichos

Assignment games represent a tractable yet versatile model of two-sided markets with transfers. We study the likely properties of the core of randomly generated assignment games. If the joint productivities of every firm and worker are…

Computer Science and Game Theory · Computer Science 2014-04-25 Avinatan Hassidim , Assaf Romm

The basis of arbitrage methods depends on the circulation of information within the framework of the financial market. Following the work of Modigliani and Miller, it has become a vital part of discussions related to the study of financial…

Statistical Finance · Quantitative Finance 2025-09-12 Kiran Sharma , Abhijit Dutta , Rupak Mukherjee

We study a variation of the minority game. There are N agents. Each has to choose between one of two alternatives everyday, and there is reward to each member of the smaller group. The agents cannot communicate with each other, but try to…

Trading and Market Microstructure · Quantitative Finance 2015-05-27 Deepak Dhar , V. Sasidevan , Bikas K. Chakrabarti