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We show that the Minority Game, a model of interacting heterogeneous agents, can be described as a spin systems and it displays a phase transition between a symmetric phase and a symmetry broken phase where the games outcome is predicable.…

Statistical Mechanics · Physics 2009-10-31 Damien Challet , Matteo Marsili

We propose a payoff function extending Minority Games (MG) that captures the competition between agents to make money. In constrast with previous MG, the best strategies are not always targeting the minority but are shifting…

Condensed Matter · Physics 2009-11-07 Jorgen Vitting Andersen , Didier Sornette

We discuss a simple model based on the Minority Game which reproduces the main stylized facts of anomalous fluctuations in finance. We present the analytic solution of the model in the thermodynamic limit and show that stylized facts arise…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Matteo Marsili

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

The analysis of parametrised systems is a growing field in verification, but the analysis of parametrised probabilistic systems is still in its infancy. This is partly because it is much harder: while there are beautiful cut-off results for…

Logic in Computer Science · Computer Science 2018-04-06 Paul Gainer , Ernst Moritz Hahn , Sven Schewe

The general picture of game theoretic modeling dealt with here is characterized by a set of big players, also referred to as principals or major agents, acting on the background of large pools of small players, the impact of the behavior of…

Optimization and Control · Mathematics 2019-11-12 Vassili N. Kolokoltsov , Oleg A. Malafeyev

We study a novel control problem in the context of network coordination games: the individuation of the smallest set of players capable of driving the system, globally, from one Nash equilibrium to another one. Our main contribution is the…

Computer Science and Game Theory · Computer Science 2019-12-18 Stephane Durand , Giacomo Como , Fabio Fagnani

Machine learning processes, e.g. ''learning in games'', can be viewed as non-linear dynamical systems. In general, such systems exhibit a wide spectrum of behaviors, ranging from stability/recurrence to the undesirable phenomena of chaos…

Computer Science and Game Theory · Computer Science 2020-08-05 Yun Kuen Cheung , Yixin Tao

This paper discusses serious drawbacks of existing knowledge in macroeconomics and finance in explaining and predicting economic and financial phenomena. Complexity science is proposed as an alternative approach to be used in order to…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot

In many dynamical systems in nature, the law of the dynamics changes along with the temporal evolution of the system. These changes are often associated with the occurrence of certain events. The timing of occurrence of these events…

Probability · Mathematics 2021-07-12 S. Gallo , G. Iacobelli , G. Ost , D. Y. Takahashi

In this work we present a pedagogical introduction to the minority game and various new versions of it with interesting properties, focusing in its applications in socialphysics. For instance, some systems display a kind of social behavior…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. R. L. de Almeida , J. Menche

We consider whether ergodic Markov chains with bounded step size remain bounded in probability when their transitions are modified by an adversary on a bounded subset. We provide counterexamples to show that the answer is no in general, and…

We discuss the feasibility of predicting, managing and subsequently manipulating, the future evolution of a Complex Adaptive System. Our archetypal system mimics a population of adaptive, interacting objects, such as those arising in the…

Physics and Society · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

Perfect synchronicity in $N$-player games is a useful theoretical dream, but communication delays are inevitable and may result in asynchronous interactions. Some systems such as financial markets are asynchronous by design, and yet most…

Physics and Society · Physics 2015-05-13 Giancarlo Mosetti , Damien Challet , Sorin Solomon

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

Computer Science and Game Theory · Computer Science 2016-09-12 Tatsuya Iwase , Takahiro Shiga

Predictions of emergent phenomena, appearing on the macroscopic layer of a complex system, can fail if they are made by a microscopic model. This study demonstrates and analyses this claim on a well-known complex system, Conway's Game of…

Cellular Automata and Lattice Gases · Physics 2022-12-16 Thomas Schmickl

Lane changes are complex safety and throughput critical driver actions. Most lane changing models deal with lane-changing maneuvers solely from the merging driver's standpoint and thus ignore driver interaction. To overcome this…

Physics and Society · Physics 2020-08-11 Kyungwon Kang , Hesham A Rakha

A major impact of globalization has been the information flow across the financial markets rendering them vulnerable to financial contagion. Research has focused on network analysis techniques to understand the extent and nature of such…

Statistical Finance · Quantitative Finance 2019-11-15 Sayantan Banerjee , Kousik Guhathakurta

This chapter reviews key contributions of complexity science to the study of systemic risk in financial systems. The focus is on network models of financial contagion, where I explore various mechanisms of shock propagation, such as…

Physics and Society · Physics 2025-02-21 Fabio Caccioli

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Irene Giardina , Marc Mezard