1 | Introduction, Engineering Application, What is Game Theory?, Rationality, What Game Theory is Not!, History, Real-Life vs. Game Theory games | 515 KB | Direct Link |

2 | Two-Person Zero-Sum, Matrix games, Strategic forms game, Nash Equilibrium, Saddle points, Security levels and policies | 682 KB | Direct Link |

3 | Saddle-point, Security levels and policies, Saddle-point and security levels, Election games, Order interchangeability, Security v.s. Regret, Dominant Strategy Equilibria, Strictly Dominating Policies, Weakly Dominating Policies, Pareto Optimality | 362 KB | Direct Link |

4 | Zero-Sum Matrix Games: Odds-and-Evens Game, Mixed Strategies, Min-Max Property, | 328 KB | Direct Link |

5 | Optimization: Least-squares, Linear programming, Convex optimization problem, Optimizing over simplexes, Epigraph problem form, Computing Mixed Strategies, Piecewise affine maximization | 367 KB | Direct Link |

6 | Zero sum games: Extensive form, Subgame, Subgame Perfect Equilibrium, Backward induction, | 224 KB | Direct Link |

7 | Zero sum games: Extensive form, Actions and strategies, Saddle-point, Feedback games, Mixed strategies, Behavioral strategies, Kuhn’s theorem | 989 KB | Direct Link |

8 | Non-zero sum games: Security levels, Nash equilibrium, Multiple Nash equilibria, Admissible Nash equilibria, self driving car example, Interchangeable Nash equilibria, Mixed Strategies, Mixed Nash equilibrium | 570 KB | Direct Link |

9 | Non-zero sum games: Completely Mixed Nash Equilibrium, Computing mixed NE, Braess paradox example | 368 KB | Direct Link |

10 | Non-zero sum games: Stackelberg Games, Rational reaction, Stackelberg equilibrium strategy, Compact pure-strategy space, Bilevel optimization problem, Stackelberg vs. bilevel optimization, Chemical process example, Iron Furnace example, Applications of Stackelberg games | 516 KB | Direct Link |

11 | Market: Cournot model, Quantity Competition, Iso-Profit Curves, Collusion Soft drinks 1986 merger, FTC intervenes, The Order of play, Stackelberg games, Supply Functions Equilibria | 783 KB | Direct Link |

12 | Non-zero sum games: Infinite Games, Finite v/s Infinite, Examples, Existence of NE, epsilon-Saddle Point for Zero-Sum Games, epsilon-NE solution for Nonzero-Sum Games, epsilon-NE in Mixed Strategies, Examples of Games with Continuous Action Sets, Reaction Curves, Pure Strategy NE, Stability of nonunique NE, Existence of Pure Strategy NE, NE in Zero-sum Infinite Games, NE in Mixed Strategies, Continuous Action Sets, InfiniteDynamic Games, Static v/s Dynamic, Examples of Infinite Dynamic Games
| 652 KB | Direct Link |

13 | InfiniteDynamic Games: Dynamic games in discrete time, Loop model, Example of a Nonzero sum Game, Information Structures, Examples of Information Structures | 980 KB | Direct Link |

14 | InfiniteDynamic Games: Examples of Information Structures, Continuous-time differential games, Example (zebra in the lake), Dynamic games in discrete time, Discrete-time cost-to-go, Discrete-time dynamic programming
| 636 KB | Direct Link |

15 | InfiniteDynamic Games: Open-loop optimization, State-feedback optimization, Dynamic Programming Example Affine-Quadratic Problems, Computational complexity, One-player Continuous-time differential games, Continuous-time cost-to-go, Continuous-time dynamic programming | 327 KB | Direct Link |

16 | InfiniteDynamic Games: Differential games with variable termination time, Dynamic games in discrete time, Discrete-time dynamic programming, Solving finite zero-sum games with MATLAB | 309 KB | Direct Link |

17 | InfiniteDynamic Games: Zero-sum dynamic games in continuous time, Linear quadratic dynamic games, Zero-sum Differential games with variable termination time | 288 KB | Direct Link |

18 | Stochastic Games: Markov Games, Histories and Rewards, Strategies, Equilibria, Two-Player Zero-Sum Stochastic Games, Evolutionary Simulations, Replicator Dynamics, Example: A Simple Lottery Game, Lottery Game with Replicator Dynamics, Lottery Game with Imitation Dynamics, Double Lottery Game, Double Lottery Game, Replicator Dynamics, Double Lottery Game, Imitation Dynamics | 1.4 MB | Direct Link |

19 | Bayesian Games: Incomplete Information, Bayesian Nash equilibrium, Incomplete Information Cournot Example | 264 KB | Direct Link |

20 | Bayesian Games: Auctions, Types of Auctions, English Auction, First-Price Sealed-Bid Auctions, First-Price Auctions for two bidders, Dutch Auctions, Sealed-Bid, Second-Price Auctions, Incomplete Information in Extensive Form Games, Dynamic Games of Incomplete Information | 278 KB | Direct Link |