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This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of differential equations is formally obtained by renormalizing the MacArthur's competition model at…

动力系统 · 数学 2020-07-27 Wenli Cai , Hailiang Liu

Camouflage in nature seems to arise from competition between predator and prey. To survive, predators must find prey, and prey must avoid being found. This work simulates an abstract model of that adversarial relationship. It looks at…

图形学 · 计算机科学 2025-02-17 Craig Reynolds

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

种群与进化 · 定量生物学 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

As early indicated by Charles Darwin, languages behave and change very much like living species. They display high diversity, differentiate in space and time, emerge and disappear. A large body of literature has explored the role of…

种群与进化 · 定量生物学 2010-04-27 Ricard V. Solé , Bernat Corominas-Murtra , Jordi Fortuny

Optimization and expansion are two modes of staged evolution of complex systems where macroscopic observables change at a decreasing, respectively increasing, rate. A prime example of evolutionary expansion, Gross Domestic Product (GDP)…

物理与社会 · 物理学 2022-11-30 Paolo Sibani , Steen Rasmussen , Per Lyngs Hansen

The growth of large scale structure is a battle between gravitational attraction and cosmic acceleration. We investigate the future behavior of cosmic growth under both general relativity (GR) and modified gravity during prolonged…

宇宙学与河外天体物理 · 物理学 2019-01-09 Eric V. Linder , David Polarski

We investigate various strategic locations of shops in shopping malls in a metropolis with the aim of finding the best strategy for final dominance of market share by a company in a competing environment. The problem is posed in the context…

神经与进化计算 · 计算机科学 2025-07-11 Wing Keung Cheung , Kwok Yip Szeto

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

神经与进化计算 · 计算机科学 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

The war of attrition in game theory is a model of a stand-off situation between two opponents where the winner is determined by its persistence. We model a stand-off between a predator and a prey when the prey is hiding and the predator is…

种群与进化 · 定量生物学 2021-08-19 Cecilia Berardo , Stefan Geritz

The functioning of animal as well as human societies fundamentally relies on cooperation. Yet, defection is often favorable for the selfish individual, and social dilemmas arise. Selection by individuals' fitness, usually the basic driving…

种群与进化 · 定量生物学 2009-09-26 Jonas Cremer , Tobias Reichenbach , Erwin Frey

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

动力系统 · 数学 2020-08-03 Pedro Dal Bó , Enrique R. Pujals

Classical theory predicts that for two competing populations subject to a constant downstream drift, the faster disperser will competitively exclude the slower disperser. In the current work, we consider a novel model of a "much faster"…

偏微分方程分析 · 数学 2025-10-08 Erin Ellefsen , Rana Parshad , Vaibhava Srivastava

The serious games between humans and AI have only just begun. Evolutionary Game Theory (EGT) models the competitive and cooperative strategies of biological entities. EGT could help predict the potential evolutionary equilibrium of humans…

人工智能 · 计算机科学 2025-05-23 Nandini Doreswamy , Louise Horstmanshof

The paper contains a computer simulation concerning a basic non-Walrasian equilibrium system, following the Edmond Malinvaud "short side" approach, as far as the price adjustment is concerned, and the sequential Hicksian "weeks" structure…

计算机与社会 · 计算机科学 2007-05-23 Michele Tucci

Rock is wrapped by paper, paper is cut by scissors, and scissors are crushed by rock. This simple game is popular among children and adults to decide on trivial disputes that have no obvious winner, but cyclic dominance is also at the heart…

Evolutionary multitasking has recently emerged as a novel paradigm that enables the similarities and/or latent complementarities (if present) between distinct optimization tasks to be exploited in an autonomous manner simply by solving them…

神经与进化计算 · 计算机科学 2016-07-20 Abhishek Gupta , Yew-Soon Ong

Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching parameter in several common evolutionary dynamics models…

动力系统 · 数学 2013-06-12 Marc Harper , Dashiell Fryer , Andrew Vlasic

We study competition between firms in labor markets, following a combinatorial model suggested by Kelso and Crawford [1982]. In this model, each firm is trying to recruit workers by offering a higher salary than its competitors, and its…

计算机科学与博弈论 · 计算机科学 2013-06-26 Reshef Meir , Moshe Tennenholtz

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

神经与进化计算 · 计算机科学 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

Decision making is a human process that is a fundamental part of competition. As a realisation of decision making, Command and Control, or C2, has been studied in the literature for adversarial populations, yet these models do not…