Possible research titles

• Coalitional and migrational stability in jurisdiction partitions
• Game-theoretic models of network formation via club structures
• Computational complexity of finding an equilibrium in game-theoretic models
• Models of fair division in groups and networks. Applications to determining a public project and to participatory budgeting
• Rational interactive proofs

Supervisor’s research interests

My scientific interests lie in various areas in game theory and mathematical modeling of economic and social processes, especially on the border with computer science. The research topics include, but are not limited to:

• Coalitional and migrational stability in jurisdiction partitions
• Game-theoretic models of network formation via club structures
• Computational complexity of finding an equilibrium in game-theoretic models
• Models of fair division in groups and networks. Applications to determining a public project and to participatory budgeting
• Rational interactive proofs

Research highlights

We have a joint research project on complex networks with Stefano Boccaletti from ICS-CNR (Florence, Italy). It is possible to work not only on game-theoretic models, but also on random graphs and hypergraphs. We are also in contact with leading Russian economic researchers from such universities as NES, HSE (Moscow and Saint Petersburg) and RANEPA.

Main publications

• Musatov, D. V., A. V. Savvateev, and S. Weber (2016). “Gale–Nikaido–Debreu and Milgrom–Shannon: Communal interactions with endogenous community structures”. In: Journal of Economic Theory 166, pp. 282–303.
• Golman, A. and D. Musatov (2019). “Approximate Coalitional Equilibria in the Bipolar World”. In: Optimization and Applications. OPTIMA 2018. Ed. by Y. Evtushenko, M. Jaćimović, M. Khachay, Y. Kochetov, V. Malkova, and M. Posypkin. Vol. 974. Springer, pp. 512–526.