​Mathematical Sociodynamics reading group (Psychohistory but real)

​Can we predict human behavior using the mathematics of physics?

​People walking through crowds spontaneously form lanes. Traffic jams emerge without central coordination. Opinions spread, societies polarize, and millions of individual decisions produce collective patterns.

​Can we model these phenomena mathematically? More importantly, can we use those models to predict what happens next?

​Inspired by the fictional science of psychohistory in Isaac Asimov's Foundation, this reading group explores its real-world counterpart: mathematical sociodynamics.

​We'll investigate how mathematical models, statistical mechanics, stochastic processes, and dynamical systems can describe and predict collective human behavior.

​📖 First reading — Easy

​Social Force Model for Pedestrian Dynamics — Helbing & Molnár (1995)

​A short, accessible paper modeling pedestrians as particles responding to destinations, obstacles, and one another. Simple equations generate surprisingly complex crowd behavior. Can we predict how people move through a crowded space?

​📖 Follow-up reading — More mathematical

​The Master Equation Approach to Nonlinear Economics — Weidlich & Braun (1992)

​From predicting how people walk to predicting how they make decisions. We'll explore how master equations and probabilistic transitions can model collective choices and large-scale social change.

​About the group

​An informal, collaborative reading group for people interested in mathematics, physics, complexity, economics, and human behavior.

​We'll read papers, work through equations, challenge assumptions, and explore what these models can actually predict.

​No previous experience with sociodynamics is required. Some calculus helps, but reading is optional and curiosity is encouraged.

​The ambition is psychohistory. The method is mathematics. The test is prediction.