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Computer simulations of minimal population-dynamics models have long been used to explore questions in ecosystems coexistence and species biodiversity, via simple agent-based models of three interacting species, referred to as $R$, $P$, and…

Populations and Evolution · Quantitative Biology 2024-10-07 Dave Cliff

We consider (N,r) games of predation with N species and r < N prey and predators, acting in a cyclic way. Further basic reactions include reproduction, decay and diffusion over a regular grid, without a hard constraint on the occupation…

Pattern Formation and Solitons · Physics 2016-12-21 Darka Labavić , Hildegard Meyer-Ortmanns

We study the rock-paper-scissors game in structured populations, where the invasion rates determine individual payoffs that govern the process of strategy change. The traditional version of the game is recovered if the payoffs for each…

Physics and Society · Physics 2014-06-19 Attila Szolnoki , Jeromos Vukov , Matjaz Perc

The increasing reliance on cyber physical infrastructure in modern power systems has amplified the risk of targeted cyber attacks, necessitating robust and adaptive resilience strategies. This paper presents a mathematically rigorous game…

Systems and Control · Electrical Eng. & Systems 2025-09-11 S Krishna Niketh , Sagar Babu Mitikiri , V Vignesh , Vedantham Lakshmi Srinivas , Mayukha Pal

In social dilemmas, most interactions are transient and susceptible to restructuring, leading to continuous changes in social networks over time. Typically, agents assess the rewards of their current interactions and adjust their…

Physics and Society · Physics 2025-11-25 Xiaojin Xiong , Yichao Yao , Minyu Feng , Manuel Chica

Efforts in this paper seek to combine graph theory with adaptive dynamic programming (ADP) as a reinforcement learning (RL) framework to determine forward-in-time, real-time, approximate optimal controllers for distributed multi-agent…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Patrick Walters , Warren Dixon

Adaptivity, both of the individual agents and of the interaction structure among the agents, seems indispensable for scaling up multi-agent systems (MAS's) in noisy environments. One important consideration in designing adaptive agents is…

Multiagent Systems · Computer Science 2007-05-23 David H. Wolpert , Sergey Kirshner , Chris J. Merz , Kagan Tumer

Social dilemmas concern a natural conflict between cooperation and self interests among individuals in large populations. The emergence of cooperation and its maintenance is the key for the understanding of fundamental concepts about the…

Physics and Society · Physics 2016-10-26 Pablo A. Valverde , Roberto da Silva , Eduardo V. Stock

Generalizing the cyclically competing three-species model (often referred to as the rock-paper-scissors game), we consider a simple system of population dynamics without spatial structures that involves four species. Unlike the previous…

Populations and Evolution · Quantitative Biology 2011-01-06 Sara O. Case , Clinton H. Durney , Michel Pleimling , R. K. P. Zia

Progress in fields of machine learning and adversarial planning has benefited significantly from benchmark domains, from checkers and the classic UCI data sets to Go and Diplomacy. In sequential decision-making, agent evaluation has largely…

Computer Science and Game Theory · Computer Science 2023-11-02 Marc Lanctot , John Schultz , Neil Burch , Max Olan Smith , Daniel Hennes , Thomas Anthony , Julien Perolat

Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic…

Optimization and Control · Mathematics 2022-04-20 Nian Liu , Lei Guo

Cyclic dominance of three species is a commonly occurring interaction dynamics, often denoted the rock-paper-scissors (RPS) game. Such type of interactions is known to promote species coexistence. Here, we generalize recent results of…

Populations and Evolution · Quantitative Biology 2008-09-11 Matti Peltomaki , Mikko Alava

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

Optimization and Control · Mathematics 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

In this letter, we investigate the dynamic network service provider (SP) and service selection in an intelligent reflecting surface (IRS)-assisted wireless network. In the network, mobile users select different network resources, i.e.,…

Information Theory · Computer Science 2020-08-05 Nguyen Cong Luong , Nguyen Thi Thanh Van , Feng Shaohan , Huy T. Nguyen , Dusit Niyato , Dong In Kim

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

We study the generalised rock-paper-scissors game with five species whose organisms face local epidemic outbreaks. As an evolutionary behavioural survival strategy, organisms of one out of the species move in the direction with more enemies…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , B. Moura , E. Rangel

The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. Many experimental results of the RPS…

Dynamical Systems · Mathematics 2021-02-25 José Pedro Gaivão , Telmo Peixe

We describe the results of analytic calculations and computer simulations of adaptive predictors (predictive agents) responding to an evolving chaotic environment and to one another. Our simulations are designed to quantify adaptation and…

adap-org · Physics 2008-02-03 Alfred Hübler , David Pines

A cyber security problem in a networked system formulated as a resilient graph problem based on a game-theoretic approach is considered. The connectivity of the underlying graph of the network system is reduced by an attacker who removes…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Yurid Nugraha , Ahmet Cetinkaya , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

We propose a simple model of network co-evolution in a game-dynamical system of interacting agents that play repeated games with their neighbors, and adapt their behaviors and network links based on the outcome of those games. The…

Computer Science and Game Theory · Computer Science 2011-07-28 Aram Galstyan , Ardeshir Kianercy , Armen Allahverdyan