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Imitation Dynamics of Vaccination Behaviour on Social Networks
(Royal Society of London, 2011)
The problem of achieving widespread immunity to infectious diseases by voluntary vaccination is often presented as a public-goods dilemma, as an individual's vaccination contributes to herd immunity, protecting those who ...
The Basic Reproductive Ratio of Life
(Elsevier, 2010)
Template-directed polymerization of nucleotides is believed to be a pathway for the replication of genetic material in the earliest cells. We assume that activated monomers are produced by prebiotic chemistry. These monomers ...
The Replicator Equation on Graphs
(Elsevier, 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 ...
Prelife Catalysts and Replicators
(Royal Society, The, 2009)
Life is based on replication and evolution. But replication cannot be taken for granted. We must ask what there was prior to replication and evolution. How does evolution begin? We have proposed prelife as a generative ...
Originator Dynamics
(Elsevier, 2009)
We study the origin of evolution. Evolution is based on replication, mutation, and selection. But how does evolution begin? When do chemical kinetics turn into evolutionary dynamics? We propose “prelife” and “prevolution” ...
The Fastest Evolutionary Trajectory
(Elsevier, 2007)
Given two mutants, A and B, separated by n mutational steps, what is the evolutionary trajectory which allows a homogeneous population of A to reach B in the shortest time? We show that the optimum evolutionary trajectory ...
Evolution of Cooperation by Phenotypic Similarity
(National Academy of Sciences, 2009)
The emergence of cooperation in populations of selfish individuals is a fascinating topic that has inspired much work in theoretical biology. Here, we study the evolution of cooperation in a model where individuals are ...
Evolutionary Cycles of Cooperation and Defection
(National Academy of Sciences, 2005)
The main obstacle for the evolution of cooperation is that natural selection favors defection in most settings. In the repeated prisoner's dilemma, two individuals interact several times, and, in each round, they have a ...
The One-Third Law of Evolutionary Dynamics
(Elsevier, 2007)
Evolutionary game dynamics in finite populations provide a new framework for studying selection of traits with frequency-dependent fitness. Recently, a “one-third law” of evolutionary dynamics has been described, which ...
Evolutionary Games on Cycles
(Royal Society, The, 2006)
Traditional evolutionary game theory explores frequency-dependent selection in well-mixed populations without spatial or stochastic effects. But recently there has been much interest in studying the evolutionary game ...