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Systems and Control Theory for Game Equilibrium Seeking

Speaker Sergio Grammatico, 
Associate Professor, TU Delft,
Delft Center for Systems and Control

DateTime 11:00~12:00, August 18 (Tues), 2026

Location Building 133 (ASRI) Room 316-1

Abstract 

Distributed game theory and optimal control provide the foundation for modeling, analysis and control of multi-agent systems. A central challenge in this area is game equilibrium seeking, which this talk presents from a systems and control perspective. First, we use variational analysis, operator theory, and systems theory to model and analyze feedforward equilibrium seeking as a dynamical system, thereby leading to a unified framework for convergence. Next, we consider dynamic games for constrained linear systems. Leveraging optimal control theory, we show that equilibrium control inputs can be devised in feedback form, associated with Riccati–Stein optimal cost functions in a lifted state space, thus enabling receding-horizon model-predictive control in dynamic games. We conclude with an outlook on data-driven game equilibrium seeking for systems with partially known objective functions, dynamics, and constraints.

Bio

Sergio Grammatico is an associate professor at the Delft Center for Systems and Control, TU Delft. He received his PhD from the University of Pisa (2013) and held research positions at ETH Zurich (2013–2015) and TU Eindhoven (2015–2017). His research interests revolve around game theoretic control and optimization for complex systems, for which he was awarded an ERC Starting Grant (2018), an ERC Consolidator Grant (2025), and the European Control Award (2026). Dr. Grammatico is a recipient of the Best Paper Award at the 2016 International Conference on Network Games, Control and Optimization, of the 2021 Roberto Tempo Best Paper Award, of the 2025 IEEE Transactions on Control of Network Systems Best Paper Award, and he was a co-author of the 2022 IEEE CSS Italy Young Author Best Journal Paper Award. He is an IEEE SYSC Distinguished Lecturer and serves as an associate editor of IEEE Transactions on Automatic Control and Automatica.