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Cooperation is a widespread natural phenomenon yet current evolutionary thinking is dominated by the paradigm of selfish competition. Recent advanced in many fronts of Biology and Non-linear Physics are helping to bring cooperation to its…

种群与进化 · 定量生物学 2014-06-13 Octavio Miramontes , Og DeSouza

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

统计力学 · 物理学 2007-05-23 Paulo Murilo Castro de Oliveira

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods. However, sometimes such ``stable'' cooperation ratios obtained via approximate methods might not be…

种群与进化 · 定量生物学 2023-05-01 Jiangjiang Cheng , Wenjun Mei , Wei Su , Ge Chen

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

元胞自动机与格子气 · 物理学 2007-12-21 H. Fort

The exploration-exploitation trade-off is among the central challenges of reinforcement learning. The optimal Bayesian solution is intractable in general. This paper studies to what extent analytic statements about optimal learning are…

机器学习 · 统计学 2015-03-13 Philipp Hennig

Most research on adaptive decision-making takes a strategy-first approach, proposing a method of solving a problem and then examining whether it can be implemented in the brain and in what environments it succeeds. We present a method for…

神经与进化计算 · 计算机科学 2015-09-21 Peter Kvam , Joseph Cesario , Jory Schossau , Heather Eisthen , Arend Hintze

If one isolated species (corporation) is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species (corporations) can be expressed by a coupled system of two discrete logistic…

适应与自组织系统 · 物理学 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

种群与进化 · 定量生物学 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

多智能体系统 · 计算机科学 2025-02-27 David H. Wolpert , Kyle Harper

This paper provides a survey of known results and open problems for the two-type Richardson model, which is a stochastic model for competition on $\mathbb{Z}^d$. In its simplest formulation, the Richardson model describes the evolution of a…

概率论 · 数学 2015-09-24 Maria Deijfen , Olle Häggström

We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their…

偏微分方程分析 · 数学 2022-12-06 Henri Berestycki , Alessandro Zilio

Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

种群与进化 · 定量生物学 2009-07-04 Adam Lipowski , Dorota Lipowska

The best-response dynamics is an example of an evolutionary game where players update their strategy in order to maximize their payoff. The main objective of this paper is to study a stochastic spatial version of this game based on the…

概率论 · 数学 2014-07-28 Stephen Evilsizor , Nicolas Lanchier

In a laboratory experiment, round by round, individual interactions should lead to the social evolutionary rotation in population strategy state space. Successive switching the incentive parameter should lead to successive change of the…

统计方法学 · 统计学 2012-07-25 Zhijian Wang , Bin Xu

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

概率论 · 数学 2016-06-07 Eric Foxall , Nicolas Lanchier

In social situations with which evolutionary game is concerned, individuals are considered to be heterogeneous in various aspects. In particular, they may differently perceive the same outcome of the game owing to heterogeneity in…

种群与进化 · 定量生物学 2014-03-07 Naoki Masuda

The success of imitation as an evolutionary driving force in spatial games has often been questioned, especially for social dilemmas such as the snowdrift game, where the most profitable may be the mixed phase sustaining both the…

物理与社会 · 物理学 2011-10-17 Attila Szolnoki , Neng-Gang Xie , Chao Wang , Matjaz Perc

Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is…

综合金融 · 定量金融 2016-12-12 Esteban Guevara Hidalgo

Recent experimental results with humans involved in social dilemma games suggest that cooperation may be a contagious phenomenon and that the selection pressure operating on evolutionary dynamics (i.e., mimicry) is relatively weak. I…

物理与社会 · 物理学 2012-10-02 Naoki Masuda