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Strictly Dominated Strategies in the Replicator-Mutator Dynamics [PDF]

open access: goldGames, 2011
The replicator-mutator dynamics is a set of differential equations frequently used in biological and socioeconomic contexts to model evolutionary processes subject to mutation, error or experimentation.
Luis R. Izquierdo   +1 more
doaj   +4 more sources

Stochastic Replicator Dynamics [PDF]

open access: yesInternational Economic Review, 2000
This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics, strategies that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations. I also give an example that shows that the stochastic dynamics in this article
Cabrales, Antonio, Antonio Cabrales
openaire   +9 more sources

Stability of Replicator Dynamics with Bounded Continuously Distributed Time Delay

open access: yesMathematics, 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
doaj   +2 more sources

Replication dynamics of recombination-dependent replication forks [PDF]

open access: yesNature Communications, 2020
Abstract Replication forks restarted by homologous recombination are error prone and replicate both strands semi-conservatively using Pol δ. Here, we use polymerase usage sequencing to visualize in vivo replication dynamics of HR-restarted forks at an S.
Karel Naiman   +5 more
openaire   +6 more sources

The Stability of Two-Community Replicator Dynamics with Discrete Multi-Delays

open access: yesMathematics, 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
doaj   +1 more source

Replicator–mutator dynamics of linguistic convergence and divergence [PDF]

open access: yesRoyal Society Open Science, 2020
People tend to align their use of language to the linguistic behaviour of their own ingroup and to simultaneously diverge from the language use of outgroups.
Henri Kauhanen
doaj   +1 more source

DeFinetti: A Mathematica program to analyze the replicator dynamics of 3-strategy collective interactions

open access: yesSoftwareX, 2020
DeFinetti is a Mathematica program that enables the user to visualize the replicator dynamics of three-strategy games with collective interactions, to study cooperation at different levels of biological complexity.
Marco Archetti
doaj   +1 more source

Replicator equation on networks with degree regular communities

open access: yesApplied 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
doaj   +1 more source

Multilevel selection in models of prebiotic evolution II: a direct comparison of compartmentalization and spatial self-organization.

open access: yesPLoS Computational Biology, 2009
Multilevel selection has been indicated as an essential factor for the evolution of complexity in interacting RNA-like replicator systems. There are two types of multilevel selection mechanisms: implicit and explicit.
Nobuto Takeuchi, Paulien Hogeweg
doaj   +1 more source

Some examples for stable and historic behavior in replicator equations

open access: yesExamples and Counterexamples, 2022
The evolutionary dynamics of zero-sum and non zero-sum games under replicator equations could be drastically different from each other. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in ...
Mansoor Saburov
doaj   +1 more source

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