Smith: Smith dynamic
In EvolutionaryGames: Important Concepts of Evolutionary Game Theory

Smith

R Documentation

Smith dynamic

Description

Smith dynamic as a type of evolutionary dynamics.

Usage

Smith(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 dngebele@gmail.com

References

Smith, M. J. (1984) "The Stability of a Dynamic Model of Traffic Assignment – An Application of a Method of Lyapunov", Transportation Science 18, pp. 245–252.

Examples

dynamic <- Smith
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.