Results 11 to 20 of about 1,723 (252)
Replicator equation on networks with degree regular communities [PDF]
Applied Network Science, 2018 The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of ...
Daniele Cassese
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The replicator equation on graphs. [PDF]
J Theor Biol, 2006 We study evolutionary games on graphs. Each player is represented by a vertex of the graph. The edges denote who meets whom. A player can use any one of n strategies. Players obtain a payoff from interaction with all their immediate neighbors. We consider three different update rules, called 'birth-death', 'death-birth' and 'imitation'. A fourth update
Ohtsuki H, Nowak MA.
europepmc +6 more sources
The replicator equation and other game dynamics. [PDF]
Proc Natl Acad Sci U S A, 2014 The replicator equation is the first and most important game dynamics studied in connection with evolutionary game theory. It was originally developed for symmetric games with finitely many strategies. Properties of these dynamics are briefly summarized for this case, including the convergence to and stability of the Nash equilibria and evolutionarily ...
Cressman R, Tao Y.
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Life-History traits and the replicator equation
Mathematical Biosciences, 2022 Due to the relevance for conservation biology, there is an increasing interest to extend evolutionary genomics models to plant, animal or microbial species. However, this requires to understand the effect of life-history traits absent in humans on genomic evolution. In this context, it is fundamentally of interest to generalize the replicator equation,
Johannes Müller, Aurélien Tellier
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On the asymptotic behaviour of the solutions to the replicator equation. [PDF]
Math Med Biol, 2011 Selection systems and the corresponding replicator equations model the evolution of replicators with a high level of abstraction. In this paper, we apply novel methods of analysis of selection systems to the replicator equations. To be suitable for the suggested algorithm, the interaction matrix of the replicator equation should be transformed; in ...
Karev GP +2 more
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Age structure, replicator equation, and the prisoner’s dilemma
Mathematical Biosciences, 2023 We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We can disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure
Johannes Müller, Sona John
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Evolutionary Game-Theoretic Approach to the Population Dynamics of Early Replicators [PDF]
LifeThe population dynamics of early replicators has revealed numerous puzzles, highlighting the difficulty of transitioning from simple template-directed replicating molecules to complex biological systems.
Matheus S. Mariano, José F. Fontanari
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An Effective Replicator Equation for Games with a Continuous Strategy Set [PDF]
Dynamic Games and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruijgrok, Matthijs, Ruijgrok, Theo
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Replicator Equations and the Principle of Minimal Production of Information [PDF]
Bulletin of Mathematical Biology, 2010 Many complex systems in mathematical biology and other areas can be described by the replicator equation. We show that solutions of a wide class of replicator equations minimize the production of information under time-dependent constraints, which, in their turn, can be computed explicitly at every instant due to the system dynamics.
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Towards a mathematical understanding of invasion resistance in multispecies communities
Royal Society Open Science, 2023 Multispecies community composition and dynamics are key to health and disease across biological systems, a prominent example being microbial ecosystems.
Erida Gjini, Sten Madec
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