Equilibrium Point

Equilibrium points, representing stable states in various systems, are a central focus across diverse scientific fields. Current research investigates their properties and efficient computation within different model frameworks, including opinion dynamics models, instrumental variable models, and deep equilibrium models, often employing novel algorithms like those based on geometric structures or recurrent sets. These studies aim to improve the understanding and computation of equilibrium points, impacting fields ranging from algorithmic game theory and multi-agent reinforcement learning to data analysis and the training of deep neural networks. The development of robust and efficient methods for identifying and characterizing equilibrium points has significant implications for both theoretical understanding and practical applications.