Evolutionary game theory: the mathematics of evolution and collective behaviours

The Anh Han
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Abstract

This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include i) the analysis of statistical properties of the number of (stable) equilibria in a random evolutionary game, and ii) the modelling of safety behaviours' evolution and the risk posed by advanced Artificial Intelligence technologies in a technology development race. Finally, it includes an outlook and some suggestions for future researchers.
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进化博弈论:进化和集体行为的数学
本文简要讨论了进化博弈论作为研究集体行为进化的一个强大而统一的数学工具。它总结了我最近使用进化博弈论方法的一些研究方向,其中包括i)随机进化博弈中(稳定)均衡数量的统计特性分析,以及ii)安全行为进化的建模以及技术发展竞赛中先进人工智能技术带来的风险。最后,对未来的研究进行了展望和建议。
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