Research into society's informal rules of conduct, or norms, has recently experienced a surge, extending across multiple academic disciplines. Despite this growth, the theoretical modeling of norms often remains siloed within specific paradigms, as different disciplines tend to favor certain frameworks over others, thereby hindering the spread of innovative ideas. This article breaks through disciplinary barriers to explore recent advancements in the mathematical study of norms. It specifically focuses on cutting-edge theoretical research, structuring the discussion around four general frameworks: game theory, evolutionary game theory, agent-based modeling, and multi-agent reinforcement learning.

中文翻译：

---

用于分析范数的数学框架


对社会非正式行为规则或规范的研究最近经历了一波激增，延伸到多个学科。尽管有这种增长，但规范的理论建模往往仍然孤立在特定的范式中，因为不同的学科往往偏爱某些框架而不是其他框架，从而阻碍了创新思想的传播。本文突破学科壁垒，探讨规范数学研究的最新进展。它特别关注前沿的理论研究，围绕四个一般框架进行讨论：博弈论、进化博弈论、基于智能体的建模和多智能体强化学习。