A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Transport with Strategic Suppliers

Bilevel optimization for the regulation of shared resources under uncertainty

We study normal-form noncooperative games corresponding to Common-Pool Resource (CPR) situations. A social planner aims to regulate the use of the resource and acts as a leader in a two-stage game. The followers are non-cooperative players who choose a Nash equilibrium representing optimal extraction levels. Due to unc...

Safe Distributed Generalized Nash Equilibrium Seeking via Control Barrier Functions

In this paper, we consider generalized Nash equilibrium (GNE) seeking in non-cooperative games with coupled constraint sets. Specifically, we aim to enforce safety for distributed GNE seeking, whereby the safety specifications are encoded in the coupled constraint set. To achieve this, we introduce the control barrier...

Growth Model With Externalities for the Energy Transition

We introduce a novel mean‐field game model for multi‐sector economic growth in which a dynamically evolving externality, influenced by the collective action of countries, plays a central role. By integrating environmental considerations in classical growth models, the framework incorporates “common noise” to capture sh...

DEMS WORKING PAPER SERIES Characterization of Nash equilibria in Cournotian oligopolies with interdependent preferences

Momentum-based Distributed Generalized Nash Equilibrium Seeking in Merely Monotone Games

This paper is concerned with distributed generalized Nash equilibrium (GNE) seeking problem for noncooperative monotone games with coupled constraints. Each individual player aims to minimize its local cost function, which depends not only on its own decision, but also on other players’ decisions. By exploiting variati...

Models and Algorithms for Reserve Deliverability in Cross-Zonal Balancing Capacity Markets

Numerical results show that these inner approximations are much more scalable than the stochastic programming formulation, while reaping most of the benefits of cross-zonal exchanges, and can also accommodate co-optimization of energy and balancing capacity products.