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Synchronization, cooperation, and chaos are ubiquitous phenomena in nature. In a population composed of many distinct groups of individuals playing the prisoner's dilemma game, there exists a migration dilemma: No cooperator would migrate…

种群与进化 · 定量生物学 2021-02-22 Shubhadeep Sadhukhan , Rohitashwa Chattopadhyay , Sagar Chakraborty

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

概率论 · 数学 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

In this work we completely characterize how the frequency with which each player participates in the game dynamics affects the possibility of reaching efficient states, i.e., states with an approximation ratio within a constant factor from…

计算机科学与博弈论 · 计算机科学 2011-05-02 Angelo Fanelli , Luca Moscardelli , Alexander Skopalik

Regardless of a system's complexity or scale, its growth can be considered to be a spontaneous thermodynamic response to a local convergence of down-gradient material flows. Here it is shown how growth can be constrained to a few distinct…

大气与海洋物理 · 物理学 2012-11-14 Timothy J. Garrett

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

计算机科学与博弈论 · 计算机科学 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

We study the statistical properties of the attendance time series corresponding to the number of agents making a particular decision in the minority game (MG). We focus on the analysis of the probability distribution and the autocorrelation…

统计力学 · 物理学 2009-11-07 Dafang Zheng , Bing-Hong Wang

We investigate majority rule dynamics in a population with two classes of people, each with two opinion states $\pm 1$, and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the…

统计力学 · 物理学 2021-06-23 P. L. Krapivsky , S. Redner

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

系统与控制 · 电气工程与系统科学 2023-02-16 Yiheng Fu , Pouria Ramazi

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

种群与进化 · 定量生物学 2018-09-12 David Steinsaltz , Shripad Tuljapurkar

A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a…

统计力学 · 物理学 2015-03-24 Daniel Hexner , Dov Levine

Strategy evaluation schemes are a crucial factor in any agent-based market model, as they determine the agents' strategy preferences and consequently their behavioral pattern. This study investigates how the strategy evaluation schemes…

投资组合管理 · 定量金融 2010-08-24 Yongjoo Baek , Sang Hoon Lee , Hawoong Jeong

The abundance of a species' population in an ecosystem is rarely stationary, often exhibiting large fluctuations over time. Using historical data on marine species, we show that the year-to-year fluctuations of population growth rate obey a…

适应与自组织系统 · 物理学 2015-06-02 Jie Sun , Sean P. Cornelius , John Janssen , Kimberly A. Gray , Adilson E. Motter

Due to stochastic fluctuations arising from finite population size, known as genetic drift, the ability of a population to explore a rugged fitness landscape depends on its size. In the weak mutation regime, while the mean steady-state…

种群与进化 · 定量生物学 2024-12-30 Richard Servajean , Anne-Florence Bitbol

The existence of a phase transition with diverging susceptibility in batch Minority Games (MGs) is the mark of informationally efficient regimes and is linked to the specifics of the agents' learning rules. Here we study how the standard…

物理与社会 · 物理学 2009-11-13 Tobias Galla , Andrea De Martino

We study a complementarity game with multiple populations whose members' offered contributions are put together towards some common aim. When the sum of the players' offers reaches or exceeds some threshold K, they each receive K minus…

种群与进化 · 定量生物学 2010-11-17 Juergen Jost , Wei Li

To study the interplay between global market choice and local peer pressure, we construct a minority-game-like econophysical model. In this so-called networked minority game model, every selfish player uses both the historical minority…

统计力学 · 物理学 2015-06-24 H. F. Chau , F. K. Chow , K. H. Ho

We introduce and solve analytically a model for the development of disparate social classes in a competitive population. Individuals advance their fitness by competing against those in lower classes, and in parallel, individuals decline due…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , S. Redner

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

种群与进化 · 定量生物学 2020-02-19 M. M. Tehrani , S. Soltanieh

We study the behavior of simple models for financial markets with widely spread frequency either in the trading activity of agents or in the occurrence of basic events. The generic picture of a phase transition between information efficient…

统计力学 · 物理学 2009-11-07 Matteo Marsili , Maurizio Piai

An independent set game is a cooperative game defined on graphs and dealing with profit-sharing in maximum independent set problems. A population monotonic allocation scheme is a rule specifying how to share the profit of each coalition…

计算机科学与博弈论 · 计算机科学 2022-07-12 Libing Wang , Han Xiao , Donglei Du , Dachuan Xu