BNN: Brown-von Neumann-Nash dynamic

In EvolutionaryGames: Important Concepts of Evolutionary Game Theory

Brown-von Neumann-Nash dynamic

Description

Brown-von Neumann-Nash replicator dynamic as a type of evolutionary dynamics.

Usage

BNN(time, state, parameters)

Arguments

time	Regular sequence that represents the time sequence under which simulation takes place.
state	Numeric vector that represents the initial state.
parameters	Numeric vector that represents parameters needed by the dynamic.

Value

Numeric list. Each component represents the rate of change depending on the dynamic.

Author(s)

Daniel Gebele [e-mail]

References

Brown, G. W. and von Neumann, J. (1950) "Solutions of games by differential equations", In: Kuhn, Harold William and Tucker, Albert William (Eds.) "Contributions to the Theory of Games I", Princeton University Press, pp. 73–79.

Examples

dynamic <- BNN
A <- matrix(c(0, -2, 1, 1, 0, -2, -2, 1, 0), 3, byrow=TRUE)
state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=TRUE)
phaseDiagram3S(A, dynamic, NULL, state, FALSE, FALSE)

EvolutionaryGames documentation built on Aug. 29, 2022, 1:06 a.m.