Demographic noise has profound effects on evolutionary and population dynamics, as well as on chemical reaction systems and models of epidemiology. Such noise is intrinsic and due to the discreteness of the dynamics in finite populations. We here show that similar noise-sustained trajectories arise in game dynamical learning, where the stochasticity has a different origin: agents sample a finite number of moves of their opponents in between adaptation events. The limit of infinite batches results in deterministic modified replicator equations, whereas finite sampling leads to a stochastic dynamics. The characteristics of these fluctuations can be computed analytically using methods from statistical physics, and such noise can affect the attractors significantly, leading to noise-sustained cycling or removing periodic orbits of the standard replicator dynamics.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.103.198702 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
[The influence of neurofeedback on the β-rhythm of the brain on the characteristics of attention in athletes with different training orientations].
Vopr Kurortol Fizioter Lech Fiz Kult
January 2025
Medical Institute of Kabardino-Balkarian State University named after Kh.M. Berbekov, Nalchik, Russia.
Unlabelled: Modern scientific research has shown that neurofeedback optimizes the functioning of the nervous system as a whole, increases the efficiency and productivity of various types of activities. In clinical practice, neurofeedback based on the β-rhythm of the brain has been effective in correcting conditions associated with decreased attention, promoting concentration and behavioral improvements. However, the influence of neurofeedback on the β-rhythm of the brain on the attention processes of athletes with different training orientations has not yet been sufficiently studied.
View Article and Find Full Text PDFA Game of Life with dormancy.
Proc Biol Sci
January 2025
Department of Biology, Indiana University, Bloomington, IN 47405, USA.
The factors contributing to the persistence and stability of life are fundamental for understanding complex living systems. Organisms are commonly challenged by harsh and fluctuating environments that are suboptimal for growth and reproduction, which can lead to extinction. Many species contend with unfavourable and noisy conditions by entering a reversible state of reduced metabolic activity, a phenomenon known as dormancy.
View Article and Find Full Text PDFCoexisting with large carnivores based on the Volterra principle.
Conserv Biol
January 2025
Department of Forestry and Wildlife Management, University of Inland Norway, Koppang, Norway.
Coexistence with large carnivores represents one of the world's highest profile conservation challenges. Ecologists have identified ecological benefits derived from large carnivores (and large herbivores), yet livestock depredation, perceived competition for shared game, risks to pets and humans, and social conflicts often lead to demands for reduction of predator numbers from a range of stakeholder groups. Nearly 100 years ago, Vito Volterra predicted that increased mortality on both prey and predators results in increased abundance of prey and decreased abundance of predators.
View Article and Find Full Text PDFScarcity mindset facilitates empathy for social pain and prosocial intention: behavioral and neural evidences.
Soc Cogn Affect Neurosci
January 2025
School of Psychology, Shenzhen University, Shenzhen 518060, China.
Empathy for social pain encompasses both affective and cognitive responses to others' emotional reactions following negative social encounters, facilitating an understanding of their suffering and promoting prosocial behaviors. This study examined how a scarcity mindset affects empathy for social pain and prosocial intentions at behavioral and neural levels. Sixty participants were randomly assigned to either the scarcity or abundance mindset group.
View Article and Find Full Text PDFDynamic mechanism and evolutionary game analysis of sports industry service transformation.
Sci Rep
January 2025
Zhejiang Gongshang University Hangzhou College of Commerce, Hangzhou, Zhejiang, China.
Service transformation plays a pivotal role in achieving the sustainable development of the sports industry. This study originates from the interactive relationships among sports enterprises, consumers, and regulatory authorities, proposing a logical framework for the service transformation of the sports industry. Furthermore, a three-party evolutionary game model is constructed to explore the strategic evolution and stability conditions under both single-agent and multi-agent scenarios.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!