دوره مقدماتی تئوری بازی
Chapter 1: Introduction to Game Theory
Lesson 1: What is Game Theory?
Lesson 2: Importance and Applications of Game Theory
Lesson 3: Types of Games (Zero-Sum, Non-Zero-Sum, etc.)
Lesson 4: Basic Assumptions in Game Theory
Lesson 5: Overview of the Course
Chapter 2: Fundamental Concepts
Lesson 1: Nash Equilibrium
Lesson 2: Pareto Optimality
Lesson 3: Minimax Theorem
Lesson 4: Dominant and Dominated Strategies
Lesson 5: Rationality and Strategic Thinking
Chapter 3: Static Games of Complete Information
Lesson 1: Normal Form Representation
Lesson 2: Pure Strategy Nash Equilibrium
Lesson 3: Mixed Strategy Nash Equilibrium
Lesson 4: Payoff Matrices and Utility Theory
Lesson 5: Applications of Static Games
Chapter 4: Dynamic Games of Complete Information
Lesson 1: Extensive Form Representation
Lesson 2: Subgame Perfect Equilibrium
Lesson 3: Backward Induction
Lesson 4: Sequential Equilibrium
Lesson 5: Applications of Dynamic Games
Chapter 5: Cooperative Game Theory Basics
Lesson 1: Cooperative vs Non-Cooperative Games
Lesson 2: Coalition Formation
Lesson 3: The Core of a Game
Lesson 4: Shapley Value
Lesson 5: Applications of Cooperative Games
Chapter 6: Repeated and Stochastic Games
Lesson 1: Introduction to Repeated Games
Lesson 2: Discounted Payoffs
Lesson 3: Finitely vs Infinitely Repeated Games
Lesson 4: Stochastic Games Basics
Lesson 5: Applications in Real-World Scenarios
Chapter 7: Auctions and Mechanism Design
Lesson 1: Introduction to Auctions
Lesson 2: Types of Auctions (English, Dutch, Vickrey, etc.)
Lesson 3: Revenue Equivalence Theorem
Lesson 4: Basic Mechanism Design Principles
Lesson 5: Applications of Auctions
Chapter 8: Evolutionary Game Theory Basics
Lesson 1: Evolutionarily Stable Strategy (ESS)
Lesson 2: Fitness Landscapes
Lesson 3: Replicator Dynamics
Lesson 4: Application of Evolutionary Concepts
Lesson 5: Limitations of Evolutionary Models
Chapter 9: Network and Graph Games
Lesson 1: Modeling Strategic Interactions on Networks
Lesson 2: Network Formation Games
Lesson 3: Congestion Games
Lesson 4: Potential Games
Lesson 5: Applications in Communication and Transport Networks
Chapter 10: Introduction to Learning in Games
Lesson 1: Fictitious Play
Lesson 2: Reinforcement Learning in Games
Lesson 3: Epsilon-Equilibrium
Lesson 4: Exploration vs Exploitation in Learning
Lesson 5: Applications of Learning in Strategic Settings
Chapter 11: Bargaining Theory and Fair Division
Lesson 1: Introduction to Bargaining Theory
Lesson 2: Nash Bargaining Solution
Lesson 3: Fair Division Principles
Lesson 4: Cooperative Bargaining Games
Lesson 5: Applications in Negotiation
Chapter 12: Inspection and Signaling Games
Lesson 1: Introduction to Signaling Games
Lesson 2: Perfect Bayesian Equilibrium
Lesson 3: Inspection Game Basics
Lesson 4: Principal-Agent Problems
Lesson 5: Applications in Economics
Chapter 13: Mixed Strategies and Correlated Equilibria
Lesson 1: Understanding Mixed Strategies
Lesson 2: Computing Mixed Strategy Equilibria
Lesson 3: Correlated Equilibria Basics
Lesson 4: Examples of Correlation in Games
Lesson 5: Applications in Coordination Problems
Chapter 14: Quantitative and Behavioral Game Theory
Lesson 1: Quantitative Game Theory Basics
Lesson 2: Incorporating Human Behavior in Games
Lesson 3: Quantal Response Equilibrium
Lesson 4: Limitations of Behavioral Models
Lesson 5: Applications in Psychology
Chapter 15: Advanced Static and Dynamic Games
Lesson 1: Advanced Payoff Analysis
Lesson 2: Dual Game Theory Concepts
Lesson 3: Network Effects in Static Games
Lesson 4: Advanced Sequential Equilibria
Lesson 5: Applications in Strategic Decision-Making
دوره پیشرفته تئوری بازی
Chapter 1: Algorithmic Game Theory
Lesson 1: Introduction to Computational Complexity in Games
Lesson 2: Algorithms for Nash Equilibria
Lesson 3: Approximation Algorithms
Lesson 4: Complexity Classes (PPAD, etc.)
Lesson 5: Applications in Computer Science
Chapter 2: Mechanism Design and Auction Theory
Lesson 1: Principles of Mechanism Design
Lesson 2: Incentive Compatibility
Lesson 3: Revenue Optimization in Auctions
Lesson 4: Vickrey-Clarke-Groves (VCG) Mechanisms
Lesson 5: Cryptoeconomic Mechanism Design
Chapter 3: Evolutionary Game Theory
Lesson 1: Advanced Replicator Dynamics
Lesson 2: Evolutionary Stability in Large Populations
Lesson 3: Evolution of Cooperation
Lesson 4: Game Dynamics in Ecology
Lesson 5: Applications in Biology and Economics
Chapter 4: Stochastic and Dynamic Games
Lesson 1: Advanced Stochastic Game Models
Lesson 2: Bellman Equations in Dynamic Games
Lesson 3: Strategy Optimization under Uncertainty
Lesson 4: Markov Decision Processes
Lesson 5: Applications in AI and Robotics
Chapter 5: Mean Field Games
Lesson 1: Introduction to Mean Field Theory
Lesson 2: Approximation of Large Population Games
Lesson 3: Equilibrium Computation in Mean Field Games
Lesson 4: Applications in Economics and Social Sciences
Lesson 5: Limitations and Challenges
Chapter 6: Coalitional Game Theory
Lesson 1: Advanced Coalition Formation Models
Lesson 2: Value Allocation Methods
Lesson 3: Stability of Coalitions
Lesson 4: Applications in Collaborative Systems
Lesson 5: Case Studies
Chapter 7: Adversarial Multi-Agent Systems
Lesson 1: Modeling Adversarial Interactions
Lesson 2: Security Games
Lesson 3: Applications in AI and Cybersecurity
Lesson 4: Game-Theoretic Planning in Robotics
Lesson 5: Challenges and Future Directions
Chapter 8: Bayesian Game Theory
Lesson 1: Advanced Bayesian Nash Equilibrium
Lesson 2: Information Asymmetry in Games
Lesson 3: Designing Bayesian Mechanisms
Lesson 4: Applications in Auctions and Negotiation
Lesson 5: Limitations of Bayesian Models
Chapter 9: Learning in Games
Lesson 1: Regret Minimization Algorithms
Lesson 2: Multi-Agent Reinforcement Learning
Lesson 3: Online Learning in Games
Lesson 4: Adaptive Strategies in Repeated Games
Lesson 5: Applications in Autonomous Systems
Chapter 10: Behavioral Game Theory
Lesson 1: Psychological and Social Insights in Games
Lesson 2: Experimental Game Theory
Lesson 3: Fairness and Reciprocity
Lesson 4: Bounded Rationality
Lesson 5: Applications in Behavioral Economics
Chapter 11: Nashpy Library for Game Theory
Lesson 1: Overview of Nashpy
Lesson 2: Installation and Setup
Lesson 3: Representing Games in Nashpy
Lesson 4: Computing Nash Equilibria
Lesson 5: Visualization in Nashpy
Lesson 6: Mixed Strategy Equilibria
Lesson 7: Iterative Methods for Equilibrium Calculation
Lesson 8: Solving Real-World Problems with Nashpy
Lesson 9: Performance Optimization and Scaling
Lesson 10: Extending Nashpy and Future Directions
Chapter 12: Gambit Library for Game Theory
Lesson 1: Overview of Gambit
Lesson 2: Installation and Setup
Lesson 3: Representing Games in Gambit
Lesson 4: Computing Nash Equilibria in Gambit
Lesson 5: GUI-Based Usage of Gambit
Lesson 6: Mixed Strategy and Correlated Equilibria
Lesson 7: Extensive-Form Games and Subgame Perfect Equilibria
Lesson 8: Solving Real-World Problems with Gambit
Lesson 9: API Integration and Scripting
Lesson 10: Recent Research and Extensions
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