Game Theory
Please find our Piazza course page at https://piazza.com/bimsa/fall2023/au23
You can sign-up for the course with the access code: Game
Please note that there is a change in the lecture schedule this Friday (October 27):
New time and location: 10:00 am Friday B725 Shuangqing Complex (This change is for this time only).
For the online participants, we will be using the same Zoom link. The lecture will be live-streamed and recorded as usual. Sorry for any inconvenience.
You can sign-up for the course with the access code: Game
Please note that there is a change in the lecture schedule this Friday (October 27):
New time and location: 10:00 am Friday B725 Shuangqing Complex (This change is for this time only).
For the online participants, we will be using the same Zoom link. The lecture will be live-streamed and recorded as usual. Sorry for any inconvenience.
Lecturer
Date
21st September ~ 8th December, 2023
Location
Weekday | Time | Venue | Online | ID | Password |
---|---|---|---|---|---|
Thursday,Friday | 13:30 - 15:05 | Shuangqing-C548 | - | - | - |
Syllabus
• combinatorial games
• Two-person zero-sum games
• Zero-sum games on graphs
• General-sum games
• Existence of Nash equilibria and fixed points
• Games in extensive form
• Evolutionary and correlated equilibria
• Random-turn games
• Stable matching and allocation
• Fair division
• Social choice and voting
• Auctions
• Adaptive decision making
• Two-person zero-sum games
• Zero-sum games on graphs
• General-sum games
• Existence of Nash equilibria and fixed points
• Games in extensive form
• Evolutionary and correlated equilibria
• Random-turn games
• Stable matching and allocation
• Fair division
• Social choice and voting
• Auctions
• Adaptive decision making
Reference
Game Theory, Alive. By Anna R. Karlin, Yuval Peres.
American Mathematical Society, Providence, RI, 2017. xxvi+372 pp. ISBN: 978-1-4704-1982-0.
American Mathematical Society, Providence, RI, 2017. xxvi+372 pp. ISBN: 978-1-4704-1982-0.
Audience
Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Yuval Peres obtained his PhD in 1990 from the Hebrew University, Jerusalem. He was a postdoctoral fellow at Stanford and Yale, and was then a Professor of Mathematics and Statistics in Jerusalem and in Berkeley. Later, he was a Principal researcher at Microsoft. In 2023, he joined Beijing Institute of Mathematical Sciences and Applications. He has published more than 350 papers in most areas of probability theory, including random walks, Brownian motion, percolation, and random graphs. He has co-authored books on Markov chains, probability on graphs, game theory and Brownian motion, which can be found at https://www.yuval-peres-books.com. His presentations are available at https://yuval-peres-presentations.com. He is a recipient of the Rollo Davidson prize and the Loeve prize. He has mentored 21 PhD students including Elchanan Mossel (MIT, AMS fellow), Jian Ding (PKU, ICCM gold medal and Rollo Davidson prize), Balint Virag and Gabor Pete (Rollo Davidson prize). He was an invited speaker at the 2002 International Congress of Mathematicians in Beijing, at the 2008 European congress of Math, and at the 2017 Math Congress of the Americas. In 2016, he was elected to the US National Academy of Science.