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We consider a network of interacting agents and we model the process of choice on the adoption of a given innovative product by means of statistical-mechanics tools. The modelization allows us to focus on the effects of direct interactions…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli , Elena Agliari , Raffaella Burioni , Augusto Schianchi

In this work, the aim is to study the diffusion of innovation of two competing products. The main focus has been to understand the effects of the competitive dynamic market on the diffusion of innovation. The global smartphone operating…

Physics and Society · Physics 2021-03-16 Semra Gunduc

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

Populations and Evolution · Quantitative Biology 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

The paper contains the attempt to integration of the classical evolutionary game theory based on replicator dynamics and the state based approach of Houston and Mcnamara. In the new approach, individuals have different heritable strategies,…

Populations and Evolution · Quantitative Biology 2019-12-03 Krzysztof Argasinski , Ryszard Rudnicki

The emergence of the modern gig economy introduces a new set of employment considerations for firms and laborers that include various trade-offs. With a game-theoretical approach, we examine the influences of technology, policy and markets…

Physics and Society · Physics 2021-03-25 Kevin Hu , Feng Fu

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…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Understanding the emergence and stability of cooperation in public goods games is important due to its applications in fields such as biology, economics, and social science. However, a gap remains in comprehending how mutations, both…

Dynamical Systems · Mathematics 2025-04-09 Nataliya A. Balabanova , Manh Hong Duong , The Anh Han

The integration of AI agents into economic markets fundamentally alters the landscape of strategic interaction. We investigate the economic implications of expanding the set of available technologies in three canonical game-theoretic…

Computer Science and Game Theory · Computer Science 2026-04-14 Eilam Shapira , Roi Reichart , Moshe Tennenholtz

Modelling all possible life cycles of a company in a highly competitive economic environment gives a significant advantage to the owner in his business investment activities. This article proposes and analyses a dynamic model of a company's…

General Finance · Quantitative Finance 2019-04-23 O. A. Malafeyev , I. I. Pavlov

We consider models of financial markets in which all parties involved find incentives to participate. Strategies are evaluated directly by their virtual wealths. By tuning the price sensitivity and market impact, a phase diagram with…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 C. H. Yeung , K. Y. Michael Wong , Y. -C. Zhang

The dynamics of financial markets are driven by the interactions between participants, as well as the trading mechanisms and regulatory frameworks that govern these interactions. Decision-makers would rather not ignore the impact of other…

Computational Finance · Quantitative Finance 2019-12-02 Mahmoud Mahfouz , Angelos Filos , Cyrine Chtourou , Joshua Lockhart , Samuel Assefa , Manuela Veloso , Danilo Mandic , Tucker Balch

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

Evolutionary game dynamics in structured populations are strongly affected by updating rules. Previous studies usually focus on imitation-based rules, which rely on payoff information of social peers. Recent behavioral experiments suggest…

Populations and Evolution · Quantitative Biology 2018-10-02 Lei Zhou , Bin Wu , Jinming Du , Long Wang

We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a…

Dynamical Systems · Mathematics 2025-11-26 Aparna Komarla , Max Hill

Diffusion processes are central to human interactions. One common prediction of the current modeling frameworks is that initial spreading dynamics follow exponential growth. Here, we find that, ranging from mobile handsets to automobiles,…

Physics and Society · Physics 2019-05-22 Ching Jin , Chaoming Song , Johannes Bjelland , Geoffrey Canright , Dashun Wang

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

Physics and Society · Physics 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

We analyze from basic physical considerations the Darwinian competition for reproduction (evolutionary dynamics) of strategists in a Public Goods Game, the archetype for $n$-agent (group) economical and biological interactions. In the…

Physics and Society · Physics 2019-11-27 Emmanuel Artiges , Carlos Gracia-Lazaro , Luis Mario Floria , Yamir Moreno

Controlling evolutionary game-theoretic dynamics is a problem of paramount importance for the systems and control community, with several applications spanning from social science to engineering. Here, we study a population of individuals…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Giuseppe Carlo Calafiore

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

Populations and Evolution · Quantitative Biology 2011-11-08 Shoma Tanabe , Naoki Masuda

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

Dynamical Systems · Mathematics 2023-01-11 Longmei Shu , Feng Fu
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