Syllabus

Optional: Twenty Lectures on Algorithmic Game Theory, Tim Roughgarden, Cambridge University Press, 2016.

Date | Topic | Reference | Notes |
---|---|---|---|

Jan 28 | Introduction. What is AGT? Basic Game Theory | Chapter 1. Lecture Notes. | |

Jan 30 | Two-Player Zero-sum Games | Lecture Notes, Chapters 1.4.2, 3.1, 3.2 | HW1 released |

Feb 4 | Algorithms for Two-Player Games: Lemke-Howson | Lecture Notes, Chapters 2.3, 3.2 - 3.6 | |

Feb 6 | Hardness of Computing Nash: PPAD | Lecture Notes, Roughgarden Chapter 20, NRTV Chapters 2.1 - 2.6 | |

Feb 11 | Potential Games and PNE; Hierarchy of Equilibria | Lecture Notes, Roughgarden Chapter 13, NRTV Chapter 1.3 | |

Feb 13 | No-Regret and Coarse Correlated Equilibria | Lecture Notes, Roughgarden Chapter 17, NRTV Chapters 4.1-4.4 | HW1 due, HW2 released |

Feb 18 | No-Regret and Equilibria (continued) | Lecture Notes, Roughgarden Chapters 17, 18, NRTV Chapters 4.1-4.4 | |

Feb 20 | No-Swap-Regret and Correlated Equilibria | Lecture Notes, Roughgarden Chapter 18, NRTV Chapters 4.4, 4.5 | |

Feb 25 | Introduction to Inefficiency of Equilibria | Lecture Notes, NRTV Chapter 17 | |

Feb 27 | Nonatomic Routing Games | Lecture Notes, Roughgarden Chapter 11, NRTV Chapters 18.1, 18.2.1, 18.3.1, 18.4.1 | HW2 due, HW3 released |

Mar 3 | Atomic Routing Games | Lecture Notes, Roughgarden Chapter 12, NRTV Chapter 18 | |

Mar 5 | Smooth Games | Lecture Notes, Roughgarden Chapter 14 | |

Mar 10 | Facility Location Game | Lecture Notes, Roughgarden Chapter 14.2, NRTV Chapter 19.4 | |

Mar 12 | No class - canceled per JHU policy |
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Mar 17 | No class - Spring Break |
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Mar 19 | No class - Spring Break |
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Mar 24 | Connection Game, Strong Nash | Lecture Notes, Lecture Board, Roughgarden Chapter 15, NRTV Chapter 19.3 | HW3 due |

Mar 26 | Load Balancing | Lecture Notes, Lecture Board, NRTV Chapter 20 | HW4 released |

Mar 31 | Introduction to Mechanism Design | Lecture Notes, Lecture Board, Roughgarden Chapter 2, NRTV Chapters 9.1, 9.3.1, 9.3.2, 9.3.5 | |

Apr 2 | Single-Parameter Environments (Myerson's Lemma) | Lecture Notes, Lecture Board, Roughgarden Chapter 3, NRTV Chapters 9.5.4, 9.5.5 | |

Apr 7 | Knapsack Auctions and the Revelation Principle | Lecture Notes, Lecture Board, Roughgarden Chapter 4, NRTV Chapters 9.4.3, 12.1, 12.2 | |

Apr 9 | Revenue Maximizing Auctions | Lecture Notes, Lecture Board, Roughgarden Chapter 5, NRTV Chapters 13.1, 13.2. | HW4 due, HW5 released |

Apr 14 | "Simple" Auctions and Bulow-Klemperer | Lecture Notes, Lecture Board, Roughgarden Chapter 6 | |

Apr 16 | VCG and General Mechanism Design | Lecture Notes, Lecture Board, Roughgarden Chapter 7, NRTV Chapter 9.3.3 | |

Apr 21 | Combinatorial Auctions, Spectrum Auctions | Lecture Notes, Lecture Board, NRTV Chapters 11.1, 11.2, Roughgarden Chapter 8 | |

Apr 23 | Mechanisms Without Money | Lecture Notes, Lecture Board, NRTV Chapters 10.3, 10.4, Roughgarded Chapters 9.4, 10 | |

Apr 28 | Online Auctions | Lecture Notes, Lecture Board, Slides from Maryland, NRTV Chapter 16.1 - 16.3. | |

Apr 30 | Voting Schemes and Social Choice | Lecture Notes, Lecture Board, NRTV Chapter 9.2 | HW5 due |

- Homework 1: PDF, LaTeX. Solutions.
- Homework 2: PDF, LaTeX. Solutions.
- Homework 3: PDF, LaTeX. Solutions.
- Homework 4: PDF, LaTeX. Solutions.
- Homework 5: PDF, LaTeX.

- An Algorithmic Game Theory Primer, Tim Roughgarden.
- Mechanism Design and Approximation, Jason Hartline.
- Multiagent Systems, Yoav Shoham and Keven Leyton-Brown, Cambridge University Press, 2009.

- Algorithmic Game Theory at Stanford by Tim Roughgarden
- Algorithmic Game Theory at Maryland by Mohammad Hajiaghayi
- Algorithms, Games, and Networks at CMU by Avrim Blum and Ariel Procaccia
- Introduction to Algorithmic Game Theory at Columbia by Sergei Vassilvitskii and Sébastien Lahaie