Learning Outcomes
At the end of this course, student will obtain:
Cognitive: specialization in subjects related to the design and analysis of systems with selfish agents:
- a critical awareness of current problems, important concepts
and research issues in the field of algorithmic game theory.
- The ability to quantify the inefficiency of equilibria.
- The ability to formulate mechanism design models for the purpose of
modelling particular applications.
- The ability to use, describe and explain appropriate algorithmic
paradigms and techniques in context of a particular game-theoretic
problem.
- The ability to read, understand and communicate research literature
in the field of algorithmic game theory.
- The ability to recognise potential research opportunities and
research directions.
Skills: useful skills for researchers in subjects related to the design and analysis of systems with selfish agents (study, analyse, writing papers, presentation with slides, video creation, problem solving)
Course Content (Syllabus)
- Introduction to Game Theory (Nash equilibrium, Mixed Nash equilibria, Equilibrium computation)
- Introduction to Network Games: Reminder of game theory fundamentals
(with a focus on network games): solution concepts such as Nash
equilibria
- Load balancing games: existence and complexity of equilibria, price
of anarchy.
- Routing games (atomic and non-atomic selfish routing): existence and
complexity of equilibria, price of anarchy, price of stability.
- Introduction to Mechanism Design: Social Choice, Mechanisms with
Money, Dominant Strategies, Characterisations of Incentive
Compatible Mechanisms, Bayesian-Nash Implementation.
- Mechanism Design without Money.
- Combinatorial Auctions (CA): Single-Minded Bidders, Bidding
Languages, Iterative Auctions, Winner Determination,
Applications.
- Profit Maximisation in Mechanism Design.
- Current Topics in Algorithmic Game Theory (Network Creation Games,
Sponsored Search Auctions, Price of Anarchy in Auctions)
Keywords
game theory, algorithms, mechanism design, auctions
Additional bibliography for study
Algorithmic Game Theory, N. Nisan, T. Roughgarden, E. Tardos, V.V. Vazirani, Cambridge University Press, 2007
20 Lectures on Algorithmic Game Theory, T. Roughgarden, Cambridge University Press, 2016