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A Mathematica computable document to analyse evolutionary dynamics in 3-strategy games

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EvoDyn-3s

A Mathematica notebook to analyze evolutionary dynamics in 3-strategy games

EvoDyn-3s generates phase portraits of evolutionary dynamics, as well as data for the analysis of their equilibria. The considered evolutionary dynamics are ordinary differential equations based on adaptive processes taking place in a population of players who are randomly and repeatedly matched in couples to play a 2-player symmetric normal-form game with three strategies. EvoDyn-3s calculates the rest points of the dynamics using exact arithmetic, and represents them. It also provides the eigenvalues of the Jacobian of the dynamics at the isolated rest points, which are useful to evaluate their local stability. The user only needs to specify the 3x3 payoff matrix of the game and choose the dynamics.

To run EvoDyn-3s, you may use the free Wolfram Player or Mathematica.

If you use EvoDyn-3s in a publication, we would appreciate it if you could cite our accompanying paper: Izquierdo, L.R., Izquierdo, S.S. & Sandholm, W.H. (2018) EvoDyn-3s: A Mathematica Computable Document to Analyze Evolutionary Dynamics in 3-Strategy Games, SoftwareX, 7, pp. 226-233.

Luis R. Izquierdo, Segismundo S. Izquierdo & Bill Sandholm

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A Mathematica computable document to analyse evolutionary dynamics in 3-strategy games

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