In mathematics, the replicator equation is a type of dynamical system used in evolutionary game theory to model how the frequency of strategies in a population...

Look up replicator in Wiktionary, the free dictionary. Replicator may refer to: Replicator (evolution unit), the theoretical basic unit of evolution in...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

coefficients, is available, which is based upon equivalence to the 3-type replicator equation. In the case of a single trophic community, the trophic level below...

of the Price equation. Knudsen, Thorbjørn (2004). "General selection theory and economic evolution: The Price equation and the replicator/interactor distinction"...

coefficients, is available, which is based upon equivalence to the 3-type replicator equation. This model can be generalized to any number of species competing...

the population and how the less fit will be culled, in a replicator equation. The replicator dynamics models heredity but not mutation, and assumes asexual...

In Star Trek a replicator is a machine that can create (and recycle) things. Replicators were originally seen to simply synthesize meals on demand, but...

all essential information. The hypercycle is a special case of the replicator equation. The most important properties of hypercycles are autocatalytic growth...

the replicator equation is also a frequently utilized tool. Evolutionarily stable states are often taken as solutions to the replicator equation, here...

Reaction-diffusion equation in theoretical biology Fisher–KPP equation in nonlinear traveling waves FitzHugh–Nagumo model in neural activation Replicator dynamics...

Structural equation modeling (SEM) is a diverse set of methods used by scientists for both observational and experimental research. SEM is used mostly...

(generalized Lotka–Volterra equation) on the plane, employing equivalence of this dynamics to the 3-type replicator equation. In “Non-cooperative two-person...

proximity. This assumption is implicit in the replicator equation, a system of differential equations that represents one of the fundamental models in...

system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear...

Multiplicative weights update is the discrete-time variant of the replicator equation (replicator dynamics), which is a commonly used model in evolutionary game...

but especially on the new field of evolutionary game dynamics and replicator equations. Together with Martin Nowak, Christoph Hauert and Hannelore Brandt...

instruments. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which...

Internet of Things with blockchain technology. Derivation of the replicator equation in evolutionary game theory and self-organization of behavioral conventions...

or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac {L}{1+e^{-k(x-x_{0})}}}}...

In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns.[citation needed] An overdetermined system...

Kolmogorov–Petrovsky–Piskunov equation. If the reaction term vanishes, then the equation represents a pure diffusion process. The corresponding equation is Fick's second...

In engineering, science, and statistics, replication is the process of repeating a study or experiment under the same or similar conditions. It is a crucial...

\over n}} The equation defining a plane curve expressed in polar coordinates is known as a polar equation. In many cases, such an equation can simply be...

The Goldman–Hodgkin–Katz flux equation (or GHK flux equation or GHK current density equation) describes the ionic flux across a cell membrane as a function...

determine an appropriate sample size n for estimating proportions, the equation below can be solved, where W represents the desired width of the confidence...

appearance of sudden social and political disruptions using the replicator equation in the theory of planned behavior. Pliska–Pinheiro–Pinto Optimization...

extreme density means there is no way to replicate the material on Earth in laboratories, which is how equations of state for other things like ideal gases...

Minimization of this function results in a set of normal equations, a set of simultaneous linear equations in the parameters, which are solved to yield the parameter...

described by ordinary differential equations or partial differential equations. A simulation run solves the state-equation system to find the behavior of...