Cooperative Games and Team Optimization: Basic Concepts and Case Studies

Marcello Sanguineti (University of Genova, Italy)

Period:

Monday, February 5, 2024 to Friday, February 9, 2024

Year:

2024

Credits:

3.00

Duration:

Objectives

Game and Team Theory study strategic interactions among agents, which have to take decisions in order to optimize suitable objectives. They have various links to disciplines such as Economics, Engineering, Computer Science, Robotics, Political and Social Sciences, Biology, Medicine, etc. These links provide incentives for interdisciplinary research and make the role of Game and Team Theory invaluable in a variety of applications. The main goal of this course consists in providing students with the basic tools to deal with interactive problems and illustrating them via their use in a variety of applications. After introducing the main concepts, the course focuses on a variety of case studies, in such a way to let the students see Cooperative Games and Team Optimization “in action”.

Program

• Cooperative Games: main concepts and tools.
• Team Optimization: main concepts and tools.
• Case studies:
o measuring network centrality
o optimal production in a multidivisional firm
o estimating players’ importance in basketball
o dynamic routing in networks
o evaluating leadership in ensemble behavior
o Braess’ paradox in congestion games
o analysis of human movement
o transportation network analysis
o assessment of public transportation transfers
o non-verbal interaction inside a group of people

References
• Lecture notes of the instructor
• G. Owen: “Game Theory”. Emerald Group, 4th Edition, 2013
• R . Zoppoli, M. Sanguineti, G. Gnecco, T. Parisini: “Neural Approximations for Optimal Control and Decision”, Chapter 9: Team Optimal Control Problems. Springer, 2020.
• Papers on the case studies.

Schedule:

February 05, 2024 2.30 p.m. - 6.30 p.m.
February 06, 2024 2.30 p.m. - 6.30 p.m.
February 07, 2024 2.30 p.m. - 6.30 p.m.
February 08, 2024 2,30 p.m. - 6.30 p.m.
February 09, 2024 2.30 p.m. - 6.30 p.m.

The lectures will be held in room Garda (Povo1, second floor).

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