Can I read Nash equilibrium seeking for a class of quadratic-bilinear Wasserstein distributionally robust games on EtoBox?

Nash equilibrium seeking for a class of quadratic-bilinear Wasserstein distributionally robust games by Pantazis, Georgios; Bahbadorani, Reza Rahimi; Grammatico, Sergio is a scholarly article available to read on EtoBox.

What is Nash equilibrium seeking for a class of quadratic-bilinear Wasserstein distributionally robust games about?

We consider a class of Wasserstein distributionally robust Nash equilibrium problems, where agents construct heterogeneous data-driven Wasserstein ambiguity sets using private samples and radii, in line with their individual risk-averse behaviour. By leveraging relevant properties of this class of games, we show that equilibria of the original seemingly infinite-dimensional problem can be obtained as a solution to a finite-dimensional Nash equilibrium problem. We then reformulate the problem as a finite-dimensional variational inequality and establish the connection between the corresponding solution sets. Our reformulation has scalable behaviour with respect to the data size and maintains a fixed number of constraints, independently of the number of samples. To compute a solution, we leverage two algorithms, based on the golden ratio algorithm. The efficiency of both algorithmic schemes is corroborated through extensive simulation studies on an illustrative example and a stochastic portfolio allocation game, where behavioural coupling among investors is modeled.

Author

Pantazis, Georgios; Bahbadorani, Reza Rahimi; Grammatico, Sergio

Published

2024

Language

EN