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We introduce highly optimized tolerance (HOT), a mechanism that connects evolving structure and power laws in interconnected systems. HOT systems arise, e.g., in biology and engineering, where design and evolution create complex systems…

Condensed Matter · Physics 2009-10-31 J. M. Carlson , John Doyle

Power law cumulative frequency $(P)$ vs. event size $(l)$ distributions $P(\geq l)\sim l^{-\alpha}$ are frequently cited as evidence for complexity and serve as a starting point for linking theoretical models and mechanisms with observed…

Physics and Society · Physics 2009-11-11 M. Manning , J. M. Carlson , J. Doyle

Highly optimized tolerance is a model of optimization in engineered systems, which gives rise to power-law distributions of failure events in such systems. The archetypal example is the highly optimized forest fire model. Here we give an…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman , Michelle Girvan , J. Doyne Farmer

Despite the recent successes of multi-agent reinforcement learning (MARL) algorithms, efficiently adapting to co-players in mixed-motive environments remains a significant challenge. One feasible approach is to hierarchically model…

Artificial Intelligence · Computer Science 2024-07-15 Yizhe Huang , Anji Liu , Fanqi Kong , Yaodong Yang , Song-Chun Zhu , Xue Feng

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

As the volume and complexity of distributed online work increases, the collaboration among people who have never worked together in the past is becoming increasingly necessary. Recent research has proposed algorithms to maximize the…

Game-theoretical models where the rules of the game and the interaction structure both coevolves with the game dynamics -- multiadaptive games -- capture very flexible situations where cooperation among selfish agents can emerge. In this…

Populations and Evolution · Quantitative Biology 2012-10-10 Sungmin Lee , Petter Holme , Zhi-Xi Wu

We present a multi-agent decision-making framework for the emergent coordination of autonomous agents whose intents are initially undecided. Dynamic non-cooperative games have been used to encode multi-agent interaction, but ambiguity…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Haimin Hu , Kensuke Nakamura , Kai-Chieh Hsu , Naomi Ehrich Leonard , Jaime Fernández Fisac

We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative systems to drive themselves into a critical state independent of…

Statistical Mechanics · Physics 2016-08-31 Siegfried Clar , Barbara Drossel , Franz Schwabl

This paper studies heterogeneous multi-team collaboration through dynamic robot allocation, where robots are treated as transferable resources. Leveraging Hamilton's rule from ecology as an altruistic decision-making mechanism, we propose a…

Robotics · Computer Science 2026-05-22 Riwa Karam , Ruoyu Lin , Brooks A. Butler , Magnus Egerstedt

Optimal transport (OT) is a framework that can be used to guide the optimal allocation of a limited amount of resources. The classical OT paradigm does not consider malicious attacks in its formulation and thus the designed transport plan…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Jason Hughes , Juntao Chen

In green security, defenders must forecast adversarial behavior, such as poaching, illegal logging, and illegal fishing, to plan effective patrols. These behavior are often highly uncertain and complex. Prior work has leveraged game theory…

Computers and Society · Computer Science 2025-10-21 Lingkai Kong , Haichuan Wang , Yuqi Pan , Cheol Woo Kim , Mingxiao Song , Alayna Nguyen , Tonghan Wang , Haifeng Xu , Milind Tambe

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

This paper considers a hybrid pollution-control differential game with two farsighted players and one myopic player. Both the seasonal regime shifts in the state dynamics and the players' heterogeneous preferences are introduced into the…

Optimization and Control · Mathematics 2025-04-17 Yilun Wu , Anna Tur , Peichen Ye

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

Dynamical Systems · Mathematics 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

In this paper, we deal with the problem of maximizing the profit of Network Operators (NOs) of green cellular networks in situations where Quality-of-Service (QoS) guarantees must be ensured to users, and Base Stations (BSs) can be shared…

Computer Science and Game Theory · Computer Science 2016-02-23 Cosimo Anglano , Marco Guazzone , Matteo Sereno

Non-cooperative interactions commonly occur in multi-agent scenarios such as car racing, where an ego vehicle can choose to overtake the rival, or stay behind it until a safe overtaking "corridor" opens. While an expert human can do well at…

Information-processing systems that coordinate multiple agents and objectives face fundamental thermodynamic constraints. We show that solutions with maximum utility to act as coordination focal points have a much higher selection pressure…

Artificial Intelligence · Computer Science 2025-10-16 Atma Anand

The potential of extreme environmental change driven by a destabilized climate system is an alarming prospect for humanity. But the intricate, subtle ways Earth's climate couples to social and economic systems raise the question of when…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 Sierra Cabrera , Irina Babayan , Hazhir Aliahmadi , Dongmei Chen , Greg van Anders

Wireless sensing and the internet of things (IoT) are nowadays pervasive in 5G and beyond networks, and they are expected to play a crucial role in 6G. However, a centralized optimization of a distributed system is not always possible and…

Networking and Internet Architecture · Computer Science 2025-12-16 David Emanuele Corrado Raphael Catania , Alessandro Buratto , Giovanni Perin
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