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Brown-von Neumann-Nash replicator dynamic as a type of evolutionary dynamics.
BNN(time, state, parameters)Numeric list. Each component represents the rate of change depending on the dynamic.
Regular sequence that represents the time sequence under which simulation takes place.
Numeric vector that represents the initial state.
Numeric vector that represents parameters needed by the dynamic.
Daniel Gebele dngebele@gmail.com
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.
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)
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