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We study minority games in efficient regime. By incorporating the utility function and aggregating agents with similar strategies we develop an effective mesoscale notion of state of the game. Using this approach, the game can be…

Adaptation and Self-Organizing Systems · Physics 2011-12-06 Karol Wawrzyniak , Wojciech Wislicki

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

We investigate and defend the possibility of causing a stock market crash via small manipulations of individual stock values that together realize an adversarial example to financial forecasting models, causing these models to make the…

Cryptography and Security · Computer Science 2025-10-23 Thomas Hofweber , Jefrey Bergl , Ian Reyes , Amir Sadovnik

This paper introduces a new approach of treating platoon systems using mean-variance control formulation. The underlying system is a controlled switching diffusion in which the random switching process is a continuous-time Markov chain.…

Optimization and Control · Mathematics 2014-01-22 Zhixin Yang , G. Yin , Le Yi Wang , Hongwei Zhang

We analyze grand-canonical minority games with infinite and finite score memory and different updating timescales (from `on-line' games to `batch' games) in detail with various complementary methods, both analytical and numerical. We focus…

Disordered Systems and Neural Networks · Physics 2007-05-23 Damien Challet , Andrea De Martino , Matteo Marsili , Isaac Perez Castillo

The causes of major and rapid transitions observed in biological macroevolution as well as in the evolution of social systems are a subject of much debate. Here we identify the proximate causes of crashes and recoveries that arise…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Sanjay Jain , Sandeep Krishna

Short-term survival and an exuberant plunge into building our future are generating a new kind of unintended consequence -- hidden fragility. This is a direct effect of the sophistication and structural complexity of the socio-technical…

Physics and Society · Physics 2020-03-26 James P. Crutchfield

Dynamical systems can be prone to severe fluctuations due to the presence of chaotic dynamics. This paper explains for a toy chaotic economic model how such a system can be regulated by the application of relatively weak control to keep the…

Dynamical Systems · Mathematics 2018-01-31 Suddhasattwa Das , James Yorke

In this chapter the complex systems are discussed in the context of economic and business policy and decision making. It will be showed and motivated that social systems are typically chaotic, non-linear and/or non-equilibrium and therefore…

General Finance · Quantitative Finance 2015-03-20 Robert Kitt

Following several episodes of financial market turmoil in recent decades, changes in systemic risk have drawn growing attention. Therefore, we propose surveillance schemes for systemic risk, which allow to detect misspecified systemic risk…

Econometrics · Economics 2026-01-14 Timo Dimitriadis , Yannick Hoga

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

Machine Learning · Computer Science 2015-02-25 Jacob Steinhardt , Percy Liang

When mathematical modelling is applied to capture a complex system, multiple models are often created that characterize different aspects of that system. Often, a model at one level will produce a prediction which is contradictory at…

Computers and Society · Computer Science 2022-05-19 Abeba Birhane , David J. T. Sumpter

A finite memory is introduced in the score dynamics of Minority Games. As expected, this removes the dependence of the stationary state on the initial conditions. However, it also causes an unexpected increase of fluctuations in…

Statistical Mechanics · Physics 2009-11-10 Damien Challet , Matteo Marsili , Andrea De Martino

Markov decision processes continue to gain in popularity for modeling a wide range of applications ranging from analysis of supply chains and queuing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend…

Optimization and Control · Mathematics 2023-12-07 Ali Eshragh

We study the impact of regulatory capital constraints on fire sales and financial stability in a large banking system using a mean field game model. In our model banks adjust their holdings of a risky asset via trading strategies with…

Mathematical Finance · Quantitative Finance 2024-06-26 Rüdiger Frey , Theresa Traxler

We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis…

Condensed Matter · Physics 2013-05-29 Kan Chen , Bing-Hong Wang , Baosheng Yuan

This dissertation highlights connections between the fields of neural networks, game theory and time series generation. The concept of antipredictability is explained, and the properties of time series that are antipredictable for several…

Disordered Systems and Neural Networks · Physics 2007-05-23 Richard Metzler

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

We study the large-scale dynamics of event chain Monte Carlo algorithms in one dimension, and their relation to the true self-avoiding walk. In particular, we study the influence of stress, and different forms of interaction on the…

Computational Physics · Physics 2024-10-14 A. C. Maggs

The minority game is a simple congestion game in which the players' main goal is to choose among two options the one that is adopted by the smallest number of players. We characterize the set of Nash equilibria and the limiting behavior of…

Physics and Society · Physics 2007-08-28 Willemien Kets , Mark Voorneveld