Abstract The Generalized Nash equilibrium problem is an important model that has its roots
in the economic sciences but is being fruitfully used in many different fields. In this survey …

The multi-leader-follower game serves as an important model in game theory with many
applications in economics, operations research and other fields. In this survey paper, we first …

This work presents a bi-level optimization framework to determine the optimal bidding
strategies for a strategic gas-fired power plant, exerting market power in interdependent pool …

Mathematical optimization has always been at the heart of engineering, statistics, and
economics. In these applied domains, optimization concepts and methods have often been …

Multi-leader–common-follower games arise when modelling two or more competitive firms,
the leaders, that commit to their decisions prior to another group of competitive firms, the …

Uncertainty Quantification (UQ) is an emerging and extremely active research discipline
which aims to quantitatively treat any uncertainty in applied models. The primary objective of …

This paper presents a new method for solving mathematical programs with equilibrium
constraints. The approach uses a transformation of the original problem via Schur's …

Emission trading scheme (ETS) is considered as a tool to reduce emissions at a low cost,
which can effectively promote the carbon peak and carbon neutrality. As the main …

Many of the European energy markets are characterized by dominant players that own a
large share of their respective countries' generation capacities. In addition to that, there is a …

The generalized Nash equilibrium problem, where the feasible sets of the players may
depend on the other players' strategies, is emerging as an important modeling tool …