Probably approximately correct Nash equilibrium learning by Fele, F, Margellos, K

“…Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We treat the Nash equilibrium computation problem within the realm of probably approximately correct (PAC) learning. …”

Probabilistic sensitivity of Nash equilibria in multi-agent games: a wait-and-judge approach by Fele, F, Margellos, K

“…The latter constitutes, to the best of our knowledge, the first application of the so-called scenario approach to multi-agent Nash equilibrium problems. The efficacy of our approach is demonstrated in simulation for the charging coordination of an electric vehicle fleet.…”

On the connection between Nash equilibria and social optima in electric vehicle charging control games by Deori, L, Margellos, K, Prandini, M

“…We approach the problem as a multi-agent game in the presence of constraints and formulate an auxiliary minimization program whose solution is shown to be the unique Nash equilibrium of the PEV charging control game, for any finite number of possibly heterogeneous agents. …”

Distributed equilibrium seeking in aggregative games: linear convergence under singular perturbations lens by Carnevale, G, Fabiani, F, Fele, F, Margellos, K, Notarstefano, G

“…We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. …”

Tracking-based distributed equilibrium seeking for aggregative games by Carnevale, G, Fabiani, F, Fele, F, Margellos, K, Notarstefano, G

“…We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks. …”

On the robustness of equilibria in generalized aggregative games by Fabiani, F, Margellos, K, Goulart, P

“…We assess the robustness of equilibria in generalized Nash equilibrium problems in aggregative form subject to linear coupling constraints affected by uncertainty with a possibly unknown probability distribution. …”

A game theoretic approach for safe and distributed control of unmanned aerial vehicles by do Nascimento, AA, Papachristodoulou, A, Margellos, K

“…The method combines Control Barrier Functions (CBFs) and a primal-dual algorithm for Nash equilibrium (NE) seeking in generalized games. Feedback is introduced by Model Predictive Control (MPC) and we analyze its stability properties. …”

Price of anarchy in electric vehicle charging control games: When Nash equilibria achieve social welfare by Deori, L, Margellos, K, Prandini, M

“…Under the assumption that electricity price is affine in total demand, we show that, for any finite number of heterogeneous agents, the PEV charging control game admits a unique Nash equilibrium, which is the optimizer of an auxiliary minimization program. …”