2 × 2 经济博弈中托马斯灾难拓扑分析的数学代码

IF 1.3 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Michael S. Harré , Adam Harris , Scott McCallum
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引用次数: 0

摘要

勒内-托姆(René Thom)的拓扑不稳定性研究将新方法应用于传统上属于动力系统理论家领域的动力稳定性问题。拓扑不稳定性侧重于系统中分岔的普遍特性,即多个平衡点随着系统参数的变化而形成和消失。然而,完整的数学描述是相当抽象的,而分析则得益于图形直观。在此,我们以 Mathematica 笔记本的形式提供我们最近的论文《游戏与经济行为》(Harriset al.)它说明了我们的主要结果,为探索正式证明中的分岔提供了必要的直观性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematica code for the topological analysis of Thom’s Catastrophes in 2 × 2 economic games

René Thom’s work on topological instabilities applied new methods to questions of dynamical stability that traditionally belonged to the domain of dynamical systems theorists. Topological instability focuses on universal properties of bifurcations in systems where multiple equilibria form and disappear as a function of system parameters. However, the complete mathematical description is quite abstract and the analysis benefits from graphical intuitions. Here we provide the code, in the form of a Mathematica notebook, used in our recent Games and Economic Behaviour paper (Harriset al., 2023). It illustrates our main results providing the intuition necessary to explore the bifurcations in the formal proofs.

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Software Impacts
Software Impacts Software
CiteScore
2.70
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9.50%
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