Hamilton多矩阵复制子的渐近动力学
Asymptotic Dynamics of Hamiltonian Polymatrix Replicators
摘要:
在以前的论文[3]中,我们研究了定义在多面体上的流,提出了一种新的方法来封装其沿边顶点异宿网络的渐近动力学。这些结果适用于包含进化对策论中几个重要模型的多矩阵复制系统。在这里,我们建立了哈密顿多矩阵复制子的渐近动力学的哈密顿性质。
英文摘要:
In a previous paper [3] we have studied flows defined on polytopes, presenting a new method to encapsulate its asymptotic dynamics along the edge-vertex heteroclinic network. These results apply to the class of polymatrix replicator systems, which contains several important models in Evolutionary Game Theory. Here we establish the Hamiltonian character of the asymptotic dynamics of Hamiltonian polymatrix replicators.
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