4 papers
Solving Multiparametric Generalized Nash Equilibrium Problems and Explicit Game-Theoretic Model Predictive Control
Sophie Hall, Alberto Bemporad
We present a method for computing explicit solutions to parametric generalized Nash equilibrium (GNE) problems with convex quadratic cost functions and linear coupling and local co…
Welfare and Cost Aggregation for Multi-Agent Control: When to Choose Which Social Cost Function, and Why?
Ilia Shilov, Ezzat Elokda, Sophie Hall +2
Many multi-agent socio-technical systems rely on aggregating heterogeneous agents' costs into a social cost function (SCF) to coordinate resource allocation in domains like energy…
The Limits of "Fairness'' of the Variational Generalized Nash Equilibrium
Sophie Hall, Florian Dörfler, Florian Dörfler +2
Generalized Nash equilibrium (GNE) problems are commonly used to model strategic interactions between self-interested agents who are coupled in cost and constraints. Specifically,…
Bridging Finite and Infinite-Horizon Nash Equilibria in Linear Quadratic Games
Giulio Salizzoni, Sophie Hall, Maryam Kamgarpour
Finite-horizon linear quadratic (LQ) games admit a unique Nash equilibrium, while infinite-horizon settings may have multiple. We clarify the relationship between these two cases b…