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A Lempel-Ziv complexity measure is introduced into the theory of a Minority Game (MG) in order to capture some features that volatility, one of the central quantities in this model of interacting agents, is not able to. Extracted solely…

Disordered Systems and Neural Networks · Physics 2009-11-10 Milan Rajkovic , Zoran Mihailovic

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

Financial network games model payment incentives in the context of networked liabilities. In this paper, we advance the understanding of incentives in financial networks in two important directions: minimal clearing (arising, e.g., as a…

Computer Science and Game Theory · Computer Science 2022-06-01 Martin Hoefer , Lisa Wilhelmi

Damage scenarios for large networks are considered. The cascade scenario is described by means of powers of adjacency matrix. More difficult probabilistic variants of the large network damage are modeling by Markov chains. For reliability…

Networking and Internet Architecture · Computer Science 2013-10-10 P. A. Golovinski

The complexity of the operating environment and required technologies for highly automated driving is unprecedented. A different type of threat to safe operation besides the fault-error-failure model by Laprie et al. arises in the form of…

Artificial Intelligence · Computer Science 2023-03-08 Roman Gansch , Ahmad Adee

Autonomous systems with machine learning-based perception can exhibit unpredictable behaviors that are difficult to quantify, let alone verify. Such behaviors are convenient to capture in probabilistic models, but probabilistic model…

Logic in Computer Science · Computer Science 2022-03-17 Matthew Cleaveland , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

In his seminal work with NK algorithms, Kauffman noted that fitness outcomes from algorithms navigating an NK landscape show a sharp decline at high complexity arising from pervasive interdependence among problem dimensions. This phenomenon…

Neural and Evolutionary Computing · Computer Science 2021-05-11 Sasanka Sekhar Chanda , Sai Yayavaram

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…

Statistical Mechanics · Physics 2007-05-23 F. K. Chow , H. F. Chau

In the paper we consider the controlled continuous-time Markov chain describing the interacting particles system with the finite number of types. The system is controlled by two players with the opposite purposes. The limiting game as the…

Optimization and Control · Mathematics 2014-12-02 Yurii Averboukh

Swarms of autonomous agents are useful in many applications due to their ability to accomplish tasks in a decentralized manner, making them more robust to failures. Due to the difficulty in running experiments with large numbers of hardware…

Robotics · Computer Science 2021-03-04 Chris Taylor , Cameron Nowzari

Many real world systems are at risk of undergoing critical transitions, leading to sudden qualitative and sometimes irreversible regime shifts. The development of early warning signals is recognized as a major challenge. Recent progress…

Adaptation and Self-Organizing Systems · Physics 2017-02-28 Christian Kuehn , Gerd Zschaler , Thilo Gross

Security of Intelligent Transportation Systems (ITS) heavily depends on the security of the underlying components that create such a smart ecosystem. Adaptive Cruise Control (ACC) is embedded into most modern vehicles. In this report, we…

Cryptography and Security · Computer Science 2023-07-19 Mohammad Sayad Haghighi

Understanding realistic complex systems requires confronting significant conceptual, theoretical and experimental limitations rooted in the persistence of views that originated in the mechanics of simple moving bodies. We define the…

Physics and Society · Physics 2024-03-06 Santiago Núñez-Corrales , Eric Jakobsson

Emergent effects can arise in multi-agent systems (MAS) where execution is decentralized and reliant on local information. These effects may range from minor deviations in behavior to catastrophic system failures. To formally define these…

Multiagent Systems · Computer Science 2024-08-09 Philipp Altmann , Julian Schönberger , Steffen Illium , Maximilian Zorn , Fabian Ritz , Tom Haider , Simon Burton , Thomas Gabor

The exact charge conservation significantly impacts multiplicity fluctuations. The result depends strongly on the part of the system charge carried by the particles of interest. Along with the expected suppression of fluctuations for large…

Nuclear Theory · Physics 2016-10-27 Viktor Begun

In everyday life, we frequently make coarse-grained judgments. When we say that Olivia and Noah excel in mathematics, we disregard the specific differences in their mathematical abilities. Similarly, when we claim that a particular…

Theoretical Economics · Economics 2025-04-04 Takashi Izumo

Using a dynamic variant of the Vicsek model, we show that emergence of a crush from an orderly moving human crowd is a non-equilibrium first order phase transition. We also show that this transition can be reversed by modifying the dynamics…

Physics and Society · Physics 2019-02-06 Ajinkya Kulkarni , Sumesh P. Thampi , Mahesh V. Panchagnula

Expanding the ideas of the author's paper 'Nonexpansive maps and option pricing theory' (Kibernetica 34:6 (1998), 713-724) we develop a pure game-theoretic approach to option pricing, by-passing stochastic modeling. Risk neutral…

Optimization and Control · Mathematics 2022-05-03 Vassili Kolokoltsov

How can minorities of individuals overturn social conventions? The theory of critical mass states that when a committed minority reaches a critical size, a cascade of behavioural changes can occur, overturning apparently stable social…

Physics and Society · Physics 2022-03-21 Iacopo Iacopini , Giovanni Petri , Andrea Baronchelli , Alain Barrat

Complex systems can be described at myriad different scales, and their causal workings often have multiscale structure (e.g., a computer can be described at the microscale of its hardware circuitry, the mesoscale of its machine code, and…

Information Theory · Computer Science 2025-04-22 Erik Hoel
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