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We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technology ladder where innovation and imitation combine to…

理论经济学 · 经济学 2020-08-27 Jess Benhabib , Éric Brunet , Mildred Hager

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

种群与进化 · 定量生物学 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

物理与社会 · 物理学 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Classical studies on aspiration-based dynamics suggest that a dissatisfied individual changes strategy without taking into account the success of others. This promotes defection spreading. The imitation-based dynamics allow individuals to…

种群与进化 · 定量生物学 2022-02-25 Kroumi Dhaker

Humans do not always make rational choices, a fact that experimental economics is putting on solid grounds. The social context plays an important role in determining our actions, and often we imitate friends or acquaintances without any…

物理与社会 · 物理学 2012-10-01 Daniele Vilone , José J. Ramasco , Angel Sánchez , Maxi San Miguel

Firm clusters are seen as having a positive effect on innovations, what can be interpreted as economies of scale or knowledge spillovers. The processes underlying the success of these clusters remain difficult to isolate. We propose in this…

多智能体系统 · 计算机科学 2022-09-01 Juste Raimbault

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

Imitation is an important learning heuristic in animal and human societies. Previous explorations report that the fate of individuals with cooperative strategies is sensitive to the protocol of imitation, leading to a conundrum about how…

物理与社会 · 物理学 2023-11-22 Xiaochen Wang , Lei Zhou , Alex McAvoy , Aming Li

The dynamics of urban systems can be understood from an evolutionary perspective, in some sense extending biological and cultural evolution. Models for systems of cities implementing elementary evolutionary processes remain however to be…

物理与社会 · 物理学 2020-05-01 Juste Raimbault

Diffusion models have emerged as powerful generative models in the text-to-image domain. This paper studies their application as observation-to-action models for imitating human behaviour in sequential environments. Human behaviour is…

The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of…

综合金融 · 定量金融 2015-06-11 Joachim Kaldasch

The emergence of interconnected urban networks is a crucial feature of globalisation processes. Understanding the drivers behind the growth of such networks - in particular urban firm networks -, is essential for the economic resilience of…

物理与社会 · 物理学 2020-09-14 Juste Raimbault , Natalia Zdanowska , Elsa Arcaute

The processes of ecological interactions, dispersal and mutations shape the dynamics of biological communities, and analogous eco-evolutionary processes acting upon economic entities have been proposed to explain economic change. This…

计量经济学 · 经济学 2023-01-24 Victor Boussange , Didier Sornette , Heike Lischke , Loïc Pellissier

Decision-making by imitating the highest earners has been observed in experimental studies. In two-strategy decision-making problems, this behavior may result in perpetual fluctuations in the population proportions of the two strategies.…

物理与社会 · 物理学 2026-05-12 Azadeh Aghaeeyan , Pouria Ramazi

We develop a two-region economic geography model with vertical innovations that improve the quality of manufactured varieties produced in each region. The chance of innovation depends on the \emph{related variety}, i.e. the importance of…

理论经济学 · 经济学 2024-04-16 José M. Gaspar , Minoru Osawa

Stabilizing cooperation among self-interested individuals presents a fundamental challenge in evolutionary theory and social science. While classical models predict the dominance of defection in social dilemmas, empirical and theoretical…

物理与社会 · 物理学 2025-04-08 Pierre Bousseyroux , Gilles Zérah , Michael Benzaquen

The promotion of cooperation on spatial lattices is an important issue in evolutionary game theory. This effect clearly depends on the update rule: it diminishes with stochastic imitative rules whereas it increases with unconditional…

种群与进化 · 定量生物学 2009-11-07 Carlos P. Roca , José A. Cuesta , Angel Sánchez

We study the role of imitation within a model of economics with adaptive agents. The basic ingredients are those of the Minority Game. We add the possibility of local information exchange and imitation of the neighbour's strategy. Imitators…

统计力学 · 物理学 2009-11-07 Frantisek Slanina

Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

物理与社会 · 物理学 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

In recent years, there has been growing interest in studying evolutionary games with environmental feedback. Previous studies exclusively focus on two-player games. However, extension to multi-player game is needed to study problems such as…

物理与社会 · 物理学 2019-07-24 Yanxuan Shao , Xin Wang , Feng Fu
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