Please find further details in the eCampus course.

Videos of Lectures 14, 15, and 16 will be published online.

The exams will be oral and the first exam period will take place from July 31 to August 04. The second exam period will take place from August 28 to September 1.

Throughout the world of modern computer networks, there are environments in which participants act strategically. Just consider internet service providers, which strive to route packets as cheaply as possible. Another example are cloud-based services: End-users and service providers rent remote infrastructure for storage or computations, giving rise to huge markets. Last but not least, advertisers want to reach their audience as cheaply as possible. This is the foundation of the business models of the world’s largest companies.

In all these settings, algorithms either act as selfish agents or have to cope with such. This brings about novel questions that are out of the scope of traditional algorithmic theory. Algorithmic game theory, a research direction at the intersection of game theory and algorithm design, has emerged to provide answers. On the one hand, this means to take analytical point of view and to strive to explain the performance of a given system. On the other hand, one also takes engineering perspective, asking how to design systems so that they can cope with selfishly acting agents.

In this course, we will introduce you to the foundations of algorithmic game theory, including

• basic game theory,
• computability and hardness of equilibria,
• convergence of dynamics of selfish agents,
• (bounds on the) loss of performance due to selfish behavior,
• designing incentive-compatible auctions
• maximizing revenue, and
• designing mechanisms for stable and fair allocations without money.

You should bring a solid background in algorithms and calculus. No prior knowledge on game theory is required. Specialized knowledge about certain algorithms is not necessary.

• Problem Set 1, due April 11
• Problem Set 2, due April 18
• Problem Set 3, due April 25
• Problem Set 4, due May 2
• Problem Set 5, due May 9
• Problem Set 6, due May 23
• Problem Set 7, due June 06

• Problem Set 1
• Problem Set 2
• Problem Set 3
• Problem Set 4
• Problem Set 5
• Problem Set 6

• Algorithmic Game Theory, edited by Nisan, Roughgarden, Tardos, and Vazirani, available online under “Resources”
• Twenty Lectures on Algorithmic Game Theory, by Tim Roughgarden; also see his original lecture notes that are available online
• Game Theory, Alive! by Karlin and Peres, available online
• Multiagent Systems by Shoham and Leyton-Brown, available online
• Lecture notes on Algorithmic Mechanism Design by Jason Hartline, available online