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How does transport cost affect the spatial organization of economic activities? This study develops a theoretical framework that distinguishes between two types of dispersion forces in spatial models: "local" dispersion forces acting within…

综合经济学 · 经济学 2026-03-02 Takashi Akamatsu , Tomoya Mori , Minoru Osawa , Yuki Takayama

Many analyses of resource-allocation problems employ simplistic models of the population. Using the example of a resource-allocation problem of Marecek et al. [arXiv:1406.7639], we introduce rather a general behavioural model, where the…

最优化与控制 · 数学 2025-09-09 Jonathan Epperlein , Jakub Marecek

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

We develop a location analysis spatial model of firms' competition in multi-characteristics space, where consumers' opinions about the firms' products are distributed on multilayered networks. Firms do not compete on price but only on…

物理与社会 · 物理学 2017-08-03 Antonios Garas , Athanasios Lapatinas

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

物理与社会 · 物理学 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

综合经济学 · 经济学 2019-08-27 Tomoya Mori

A microscopic agent dynamical model for diploid age-structured populations is used to study evolution of polymorphism and sympatric speciation. The underlying ecology is represented by a unimodal distribution of resources of some width.…

种群与进化 · 定量生物学 2015-06-26 E. Brigatti , J. S. Sa' Martins , I. Roditi

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

种群与进化 · 定量生物学 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

We consider a model of nomadic agents exploring and competing for time-varying location-specific resources, arising in crowdsourced transportation services, online communities, and in traditional location based economic activity. This model…

计算机科学与博弈论 · 计算机科学 2016-02-23 Pu Yang , Krishnamurthy Iyer , Peter Frazier

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

偏微分方程分析 · 数学 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

系统与控制 · 电气工程与系统科学 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

Much work in computer science has adopted competitive analysis as a tool for decision making under uncertainty. In this work we extend competitive analysis to the context of multi-agent systems. Unlike classical competitive analysis where…

人工智能 · 计算机科学 2007-05-23 Moshe Tennenholtz

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

种群与进化 · 定量生物学 2015-09-15 Blake C. Stacey

In a co-evolutionary context, the survive probability of individual elements of a system depends on their relation with their neighbors. The natural selection process depends on the whole population, which is determined by local events…

生物物理 · 物理学 2009-11-13 Juan G. Diaz Ochoa

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been…

交易与市场微观结构 · 定量金融 2017-02-22 Alan Roncoroni , Matus Medo

This chapter investigates some mechanisms behind pattern formation driven by competitive-only or repelling interactions, and explores how these patterns are influenced by different types of particle movement. Despite competition and…

种群与进化 · 定量生物学 2025-03-05 Cristóbal López , Eduardo H. Colombo , Emilio Hernández-García , Ricardo Martinez-Garcia

Most complex networks serve as conduits for various dynamical processes, ranging from mass transfer by chemical reactions in the cell to packet transfer on the Internet. We collected data on the time dependent activity of five natural and…

无序系统与神经网络 · 物理学 2009-11-10 M. Argollo de Menezes , A-L. Barabasi

In this paper we investigate the evolution of cooperation when the interaction structure is strictly local, and hence fitness only depends on local behaviors, while the competition structure is partly global, and hence selection can happen…

In this paper, we analyze the behavior of a multi-agent system driven by the interactions of agents within a competitive environment. To achieve this, we describe the transition probabilities that underlie the system's stochastic nature. We…

多智能体系统 · 计算机科学 2024-12-23 Mohammad Daneshvar , Mandana Delavari

We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population genetics such as the stepping stone model, here however space…