Game Theory: Strategic Interaction & Equilibrium
Applied Mathematics
Master strategic interaction through Nash equilibrium, mechanism design, evolutionary dynamics, and cooperative game theory — the mathematics of rational decision-making in multi-agent settings.
Learning Objectives
- Compute Nash equilibria in pure and mixed strategies
- Analyze sequential games using backward induction and subgame perfect equilibrium
- Apply the Folk Theorem to understand cooperation in repeated games
- Design incentive-compatible mechanisms using the revelation principle
- Compute Shapley values and analyze cooperative TU games
- Analyze evolutionary dynamics and evolutionarily stable strategies
Lessons
1
Strategic Form Games & Nash Equilibrium
35 min
2
Mixed Strategies & the Minimax Theorem
35 min
3
Extensive Form & Subgame Perfect Equilibrium
35 min
4
Repeated Games & the Folk Theorem
35 min
5
Cooperative Games & the Shapley Value
35 min
6
Mechanism Design & Auctions
35 min
7
Evolutionary Game Theory
35 min
Quick Practice
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Key Concept Flashcards
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