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.

翻译：本文简要讨论了演化博弈论作为研究集体行为演化的一种强大且统一的数学工具。概述了本人近期利用演化博弈论方法开展的部分研究方向，包括：i) 随机演化博弈中（稳定）均衡数量的统计特性分析；ii) 在技术发展竞赛中，安全行为演化及先进人工智能技术所构成风险的建模。最后，本文提出了未来研究展望及相关建议。