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In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space…

经济学 · 定量金融 2018-04-09 James B. T. Sanders , J. Doyne Farmer , Tobias Galla

Trajectory planning in dense, interactive traffic scenarios presents significant challenges for autonomous vehicles, primarily due to the uncertainty of human driver behavior and the non-convex nature of collision avoidance constraints.…

系统与控制 · 电气工程与系统科学 2025-10-30 Erik Börve , Nikolce Murgovski , Leo Laine

One of the major problems in adaptive filtering is the problem of system identification. It has been studied extensively due to its immense practical importance in a variety of fields. The underlying goal is to identify the impulse response…

系统与控制 · 计算机科学 2015-05-11 Muhammad Ali Raza Anjum

The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce…

统计力学 · 物理学 2008-12-02 F. F. Ferreira , M. Marsili

We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the Minority Game and using the replica formalism we show the existence of an equilibrium phase transition…

统计力学 · 物理学 2009-11-07 M. Marsili , R. Mulet , F. Ricci-Tersenghi , R. Zecchina

In the original two-choice minority game (MG), selfish players cooperate with each other even though direct communication is not allowed. Moreover, there is a periodic dynamics in the MG whenever the strategy space size is much smaller than…

统计力学 · 物理学 2007-05-23 F. K. Chow , H. F. Chau

A brief review is given of the minority game, an idealized model stimulated by a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to analytic results for the model rather than discussions…

无序系统与神经网络 · 物理学 2009-11-11 David Sherrington

The economical world consists of a highly interconnected and interdependent network of firms. Here we develop temporal and structural network tools to analyze the state of the economy. Our analysis indicates that a strong clustering can be…

The optimization of facility-based systems is considered. First, the congestion game is converted into a matrix form, so that the matrix approach is applicable. Then, a facility-based system with a system performance criterion is…

最优化与控制 · 数学 2017-12-08 Yaqi Hao , Sisi Pan , Yupeng Qiao , Daizhan Cheng

This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory, which aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have…

物理与社会 · 物理学 2017-02-28 N. Bellomo , F. Colasuonno , D. Knopoff , J. Soler

For a society to remain healthy and prosperous, people must collectively behave and act to contribute to the common good, even if there is often a tradeoff against their individual benefit. Paradigmatic examples include the adoption of…

系统与控制 · 电气工程与系统科学 2026-05-05 Mengbin Ye , Lorenzo Zino , Ming Cao

We consider a mean-field model for large banking systems, which takes into account default and recovery of the institutions. Building on models used for groups of interacting neurons, we first study a McKean-Vlasov dynamics and its…

最优化与控制 · 数学 2020-01-29 Romuald Élie , Tomoyuki Ichiba , Mathieu Laurière

The expansion of global production networks has raised many important questions about the interdependence among countries and how future changes in the world economy are likely to affect the countries' positioning in global value chains. We…

综合经济学 · 经济学 2020-05-20 Olivera Kostoska , Viktor Stojkoski , Ljupco Kocarev

We demonstrate that minority mechanisms arise in the dynamics of markets because of effects of price impact; accordingly the relative importance of minority and delayed majority mechanisms depends on the frequency of trading. We then use…

统计力学 · 物理学 2008-12-02 Damien Challet , Tobias Galla

We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals and of partial orders: certain notions of distributivity,…

逻辑 · 数学 2023-02-03 Peter Holy , Philipp Schlicht , Christopher Turner , Philip Welch

The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how to construct a chaos game representation. The applications mentioned here are biological, in which CGR was able…

历史与综述 · 数学 2020-12-18 Eunice Y. S. Chan , Robert M. Corless

In this paper we consider the application of Stackelberg game theory to model discretionary lane-changing in lightly congested highway setting. The fundamental intent of this model, which is parameterized to capture driver disposition…

计算机科学与博弈论 · 计算机科学 2020-03-24 Jehong Yoo , Reza Langari

Statistical model checking (SMC) is a technique for analysis of probabilistic systems that may be (partially) unknown. We present an SMC algorithm for (unbounded) reachability yielding probably approximately correct (PAC) guarantees on the…

系统与控制 · 计算机科学 2021-02-02 Pranav Ashok , Jan Křetínský , Maximilian Weininger

Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

统计方法学 · 统计学 2014-10-08 Enkelejd Hashorva , Lanpeng Ji