Diff. Games·Course
Differential Games
Differential games: Isaacs equation, pursuit problems, N-player games, cooperative games, MFG, and applications in economics and robotics
4
Modules
12
Articles
~1 h
Reading
IV
CLOs
§ 01 — Curriculum
4 modules.
Each module is a small unit. Most read in sequence — but a determined reader can begin anywhere.
- M IIntroduction to Differential GamesHistory, formulation of pursuit–evasion problems, and main classifications3 articles
18 minBegin → - M IIZero-Sum Games and MinimaxTheory of zero-sum games, minimax theorem, and feedback strategies3 articles
18 minBegin → - M IIIMulti-Player and Cooperative Differential GamesN-player differential games, Nash equilibrium, and cooperative solution concepts3 articles
18 minBegin → - M IVStochastic Differential GamesGames in stochastic environments, stochastic HJB, and BSDEs3 articles
18 minBegin →
§ 02 — Learning outcomes
4 outcomes.
CLO I
Theory and Isaacs Equation
Formulate differential games and apply the minimax principle and the Isaacs equation.
CLO II
Pursuit–Evasion Problems
Analyze geometric methods of pursuit, barriers, and special cases.
CLO III
N-Player Games and Cooperation
Find Nash equilibria in dynamic games and analyze cooperative solution concepts.
CLO IV
Mean Field Games
Understand mean field games, numerical methods, and applications in economics and transportation.
§ 03 — Practices