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We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

物理与社会 · 物理学 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

偏微分方程分析 · 数学 2017-03-08 Emmanuel Risler

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

种群与进化 · 定量生物学 2025-01-09 Ori Turkia , Nadav M. Shnerb

We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete under different demand loads.…

适应与自组织系统 · 物理学 2009-11-07 R. Savit , S. A. Brueckner , H. V. D. Parunak , J. Sauter

We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the population has a preference to adopt older states the system orders…

物理与社会 · 物理学 2016-03-22 Toni Pérez , Konstantin Klemm , Víctor M. Eguíluz

In work with a variety of co-authors, Staver and Levin have argued that savanna and forest coexist as alternative stable states with discontinuous changes in density of trees at the boundary. Here we formulate a nonhomogeneous spatial model…

概率论 · 数学 2024-11-26 Rick Durrett , Ruibo Ma

In many empirical studies of a large two-sided matching market (such as in a college admissions problem), the researcher performs statistical inference under the assumption that they observe a random sample from a large matching market. In…

计量经济学 · 经济学 2024-04-02 Jacob Schwartz , Kyungchul Song

The influence of an external random field on the competition process in a nonlinear open spatially extended system is analyzed numerically. A three-component model is chosen as the competition model in which a "weak" species can move in…

We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete for a resource under different…

适应与自组织系统 · 物理学 2007-05-23 Robert Savit , Sven A. Brueckner , H. Van Dyke Parunak , John Sauter

Coordination games admit two types of equilibria: pure equilibria, where all players successfully coordinate their actions, and mixed equilibria, where players frequently experience miscoordination. The existing literature shows that under…

理论经济学 · 经济学 2025-01-28 Srinivas Arigapudi , Yuval Heller , Amnon Schreiber

We use Monte Carlo simulations and assumptions from evolutionary game theory in order to study the evolution of words and the population dynamics of a system comprising two interacting species which initially speak two different languages.…

统计力学 · 物理学 2009-11-11 Kosmas Kosmidis , John M. Halley , Panos Argyrakis

We introduce a class of stochastic models for the dynamics of two linguistic variants that are competing to become the single, shared convention within an unstructured community of speakers. Different instances of the model are…

物理与社会 · 物理学 2013-05-20 R. A. Blythe

This paper studies a two microbial species model in competition for a single resource in the chemostat including general interspecific density-dependent growth rates with distinct removal rates for each species. We give the necessary and…

动力系统 · 数学 2024-01-15 Tahani Mtar , Radhouane Fekih-Salem

Competition is the main driver of population dynamics, which shapes the genetic composition of populations and the assembly of ecological communities. Neutral models assume that all the individuals are equivalent and that the dynamics is…

种群与进化 · 定量生物学 2018-04-11 Matan Danino , Nadav M. Shnerb

In this paper we propose a Moran model that describes the population dynamics of two types: While the first type has a selective advantage during reproduction, the second type can avoid replacement during reproduction with some positive…

种群与进化 · 定量生物学 2026-03-02 Jochen Blath , Baptiste Le Duigou , András Tóbiás

In many natural situations one observes a local system with many competing species which is coupled by weak immigration to a regional species pool. The dynamics of such a system is dominated by its stable and uninvadable (SU) states. When…

种群与进化 · 定量生物学 2017-07-26 Yael Fried , Nadav M. Shnerb , David A. Kessler

The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

统计力学 · 物理学 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

Recently, individual-based models originally used for biological purposes revealed interesting insights into processes of the competition of languages. Within this new field of population dynamics a model considering sexual populations with…

物理与社会 · 物理学 2015-06-26 Veit Schwämmle

We investigate the collective behavior of a system of social agents subject to the competition between two mass media influences considered as external fields. We study under what conditions either of two mass media with different…

物理与社会 · 物理学 2024-05-09 O. Alvarez-Llamoza , M. G. Cosenza , J. C. Gonzalez-Avella , M. A. Suarez , K. Tucci , P. Valverde

In its simplest form, the competitive exclusion principle states that a number of species competing for a smaller number of resources cannot coexist. However, it has been observed empirically that in some settings it is possible to have…

种群与进化 · 定量生物学 2021-02-18 Alexandru Hening , Dang H. Nguyen