Results 11 to 20 of about 2,501 (260)
Resource Concentration and Clustering in Replicator Dynamics with Stochastic Reset Events [PDF]
Entropy, 2023 As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes.
Ignacio T. Gómez Garay +1 more
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The Stability of Two-Community Replicator Dynamics with Discrete Multi-Delays
Mathematics, 2020 This article investigates the stability of evolutionarily stable strategy in replicator dynamics of two-community with multi-delays. In the real environment, players interact simultaneously while the return of their choices may not be observed ...
Jinxiu Pi +4 more
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Stability of Replicator Dynamics with Bounded Continuously Distributed Time Delay
Mathematics, 2020 In this paper, we consider evolutionary games and construct a model of replicator dynamics with bounded continuously distributed time delay. In many circumstances, players interact simultaneously while impacts of their choices take place after some time,
Chongyi Zhong +3 more
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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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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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MOLECULAR REPLICATOR DYNAMICS [PDF]
Advances in Complex Systems, 2003 Template-dependent replication at the molecular level is the basis of reproduction in nature. A detailed understanding of the peculiarities of the chemical reaction kinetics associated with replication processes is therefore an indispensible prerequisite for any understanding of evolution at the molecular level. Networks of interacting self-replicating
Bärbel M. R. Stadler, Peter F. Stadler
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Replication-Fork Dynamics [PDF]
Cold Spring Harbor Perspectives in Biology, 2013 The proliferation of all organisms depends on the coordination of enzymatic events within large multiprotein replisomes that duplicate chromosomes. Whereas the structure and function of many core replisome components have been clarified, the timing and order of molecular events during replication remains obscure.
Duderstadt, Karl E +3 more
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The projection dynamic and the replicator dynamic [PDF]
Games and Economic Behavior, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William H. Sandholm +2 more
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The replicator dynamics of generalized Nash games
Mathematics in Applied Sciences and Engineering, 2021 Generalized Nash Games are a powerful modelling tool, first introduced in the 1950's. They have seen some important developments in the past two decades.
Jason Lequyer, Monica-Gabriela Cojocaru
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Metastability in Stochastic Replicator Dynamics [PDF]
Dynamic Games and Applications, 2018 We consider a novel model of stochastic replicator dynamics for potential games that converts to a Langevin equation on a sphere after a change of variables. This is distinct from the models studied earlier. In particular, it is ill-posed due to non-uniqueness of solutions, but is amenable to a natural selection principle that picks a unique solution ...
Avrachenkov, Konstantin, Borkar, Vivek
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