A review of evolutionary graph theory with applications to game theory
Evolutionary graph theory (EGT), studies the ability of a mutant gene to overtake a finite
structured population. In this review, we describe the original framework for EGT and the …
structured population. In this review, we describe the original framework for EGT and the …
[BOOK][B] Game-theoretical models in biology
Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology,
Second Edition presents both abstract and practical mathematical models of real biological …
Second Edition presents both abstract and practical mathematical models of real biological …
A survey on evolutionary algorithms dynamics and its complexity–Mutual relations, past, present and future
I Zelinka - Swarm and Evolutionary Computation, 2015 - Elsevier
Swarm and evolutionary based algorithms represent a class of search methods that can be
used for solving optimization problems. They mimic natural principles of evolution and …
used for solving optimization problems. They mimic natural principles of evolution and …
Evolutionary dynamics of mutants that modify population structure
Natural selection is usually studied between mutants that differ in reproductive rate, but are
subject to the same population structure. Here we explore how natural selection acts on …
subject to the same population structure. Here we explore how natural selection acts on …
Fixation dynamics on hypergraphs
Hypergraphs have been a useful tool for analyzing population dynamics such as opinion
formation and the public goods game occurring in overlap** groups of individuals. In the …
formation and the public goods game occurring in overlap** groups of individuals. In the …
Amplification on undirected population structures: comets beat stars
The fixation probability is the probability that a new mutant introduced in a homogeneous
population eventually takes over the entire population. The fixation probability is a …
population eventually takes over the entire population. The fixation probability is a …
Amplifiers of selection for the Moran process with both Birth-death and death-Birth updating
Populations evolve by accumulating advantageous mutations. Every population has some
spatial structure that can be modeled by an underlying network. The network then influences …
spatial structure that can be modeled by an underlying network. The network then influences …
Approximating fixation probabilities in the generalized moran process
We consider the Moran process, as generalized by Lieberman et al.(Nature 433: 312–316,
2005). A population resides on the vertices of a finite, connected, undirected graph and, at …
2005). A population resides on the vertices of a finite, connected, undirected graph and, at …
Emerging behavioral consensus of evolutionary dynamics on complex networks
Evolutionary dynamics has been widely used to characterize the evolution and formation of
behavioral consensus. Governed by evolutionary dynamics, a network of agents reaches …
behavioral consensus. Governed by evolutionary dynamics, a network of agents reaches …
The molecular clock of neutral evolution can be accelerated or slowed by asymmetric spatial structure
B Allen, C Sample, Y Dementieva… - PLoS Computational …, 2015 - journals.plos.org
Over time, a population acquires neutral genetic substitutions as a consequence of random
drift. A famous result in population genetics asserts that the rate, K, at which these …
drift. A famous result in population genetics asserts that the rate, K, at which these …