EvoDyn-3s: A Mathematica computable document to analyze evolutionary dynamics in 3-strategy games
EvoDyn-3s: A Mathematica computable document to analyze evolutionary dynamics in 3-strategy games
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DOI：
10.1016/j.softx.2018.07.006
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发表时间：
2018
期刊：
影响因子：
3.4
通讯作者：
L. Izquierdo;Segismundo S. Izquierdo;William H. Sandholm
中科院分区：
文献类型：
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作者：
L. Izquierdo;Segismundo S. Izquierdo;William H. Sandholm
EvoDyn-3s生成进化动力学的相图，以及用于分析其平衡的数据。所考虑的进化动力学是常微分方程的基础上发生的适应性过程中的球员谁是随机和反复匹配的夫妇玩一个2-玩家对称的正常形式的游戏，有三个战略的人口。EvoDyn-3s使用精确的算法计算动力学的静止点，并表示它们。它还提供了在孤立的休息点，这是有用的，以评估其局部稳定性的动力学雅可比矩阵的特征值。用户只需要指定游戏的3 × 3支付矩阵并选择动态。
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 3 × 3 payoff matrix of the game and choose the dynamics.