COS 597F

Open Problems in Algorithmic Game Theory

Princeton University

 

Instructor: Matt Weinberg (smweinberg (at) princeton (dot) edu).

 

Piazza: https://piazza.com/class/jlxxavpqz85n2

 

Announcements will be posted below:

-         Several future lectures will require comfort with Linear Programming, LP rounding, and LP duality. You can use AA lectures 5, 6, 7, and 15 for this, but there are many good sources available online if you prefer.

-         I will also reference the Vickrey-Clarke-Groves auction (and maximal-in-range auctions) without proof. You can derive these yourself as an exercise, or use Section 1 of AA lectures 18 and 19 (or any of many good online sources).

 

Homework: Homeworks will be posted below when they become available. Here is a LaTeX template you may use for the homework, and here is a short guide to LaTeX.

 

References: You may find the following references helpful.

AA: The fall 2017 iteration of Advanced Algorithms.

EC: The spring 2018 iteration of Economics and Computation.

The AGT Book: The AGT book, especially Chapters 11/12 on combinatorial auctions. (Click link --> resources --> Algorithmic Game Theory --> Algorithmic Game Theory).

MDnA: Mechanism Design and Approximation (relevant to second half of class on Bayesian mechanism design.).

 

Lecture Notes: I will post the lecture notes I use to present on Piazza. These lecture notes are written hastily and likely contain errors, but may be helpful as a reminder for what was covered in class, or for the cited references.

 

Date

Topic

Reading Material

9/12

Combinatorial Auctions: Introduction, Definitions, Approximation with Value Queries.

See Piazza.

9/17

Combinatorial Auctions: More Approximation with Value Queries.

See Piazza.

9/19

Combinatorial Auctions: Walrasian Equilibria and Gross Substitutes.

See Piazza.

9/24

TBD

See Piazza.

9/26

TBD

See Piazza.

10/1

TBD

See Piazza.

10/3

TBD

See Piazza.

10/8

TBD

See Piazza.

10/10

TBD

See Piazza.

10/15

TBD

See Piazza.

10/17

TBD

See Piazza.

10/22

TBD

See Piazza.

10/24

TBD

See Piazza.

10/29

Fall Break

 

10/31

Fall Break

11/5

TBD

See Piazza.

11/7

TBD

See Piazza.

11/12

TBD

See Piazza.

11/14

TBD

See Piazza.

11/19

TBD

See Piazza.

11/21

Thanksgiving

11/26

TBD

See Piazza.

11/28

TBD

See Piazza.

12/3

TBD

See Piazza.

12/5

TBD

See Piazza.

12/10

TBD

See Piazza.

12/12

TBD

See Piazza.