Results 21 to 30 of about 4,294,209 (341)

On the Correspondence between Replicator Dynamics and Assignment Flows

Scale Space and Variational Methods in Computer Vision, 2021
Assignment flows are smooth dynamical systems for data labeling on graphs. Although they exhibit structural similarities with the well‐studied class of replicator dynamics, it is nontrivial to apply existing tools to their analysis.
Bastian Boll, Jonathan Schwarz, C. Schnörr   +2 more
semanticscholar   +1 more source

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

Royal 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

SoftwareX, 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

The replicator dynamics with n players and population structure

Journal of Theoretical Biology, 2011
Matthijs van Veelen
openalex   +4 more sources

Replicator equation on networks with degree regular communities

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
doaj   +1 more source

On the discrete-time origins of the replicator dynamics: from convergence to instability and chaos [PDF]

International Journal of Game Theory
We consider three distinct discrete-time models of learning and evolution in games: a biological model based on intra-species selective pressure, the dynamics induced by pairwise proportional imitation, and the exponential/multiplicative weights ...
Fryderyk Falniowski, P. Mertikopoulos
semanticscholar   +1 more source

Stochastic Replicator Dynamics [PDF]

International 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
openaire   +7 more sources

Some examples for stable and historic behavior in replicator equations

Examples 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

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

PLoS 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

A New Replicator: A theoretical framework for analysing replication

BMC Biology, 2010
Background Replicators are the crucial entities in evolution. The notion of a replicator, however, is far less exact than the weight of its importance. Without identifying and classifying multiplying entities exactly, their dynamics cannot be determined ...
Szathmáry Eörs, Zachar István
doaj   +1 more source