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…
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…
'Dark pressure': A metric that yields distance-independent circular orbital speed in deep space with 'tunable' total mass
C. Mallary
In general relativity, the tangential speed of objects in stable circular orbits is not uniquely described by the orbital radius and the mass present inside the orbital radius. Thi…
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…