Distributed Nash equilibrium seeking in games with partial decision information: A survey

M Ye, QL Han, L Ding, S Xu - Proceedings of the IEEE, 2023 - ieeexplore.ieee.org
Nash equilibrium, as an essential strategic profile in game theory, is of both practical
relevance and theoretical significance due to its wide penetration into various fields, such as …

[HTML][HTML] Convergence of sequences: A survey

B Franci, S Grammatico - Annual Reviews in Control, 2022 - Elsevier
Convergent sequences of real numbers play a fundamental role in many different problems
in system theory, eg, in Lyapunov stability analysis, as well as in optimization theory and …

Differentially private distributed algorithms for stochastic aggregative games

J Wang, JF Zhang, X He - Automatica, 2022 - Elsevier
Designing privacy-preserving distributed algorithms for stochastic aggregative games is
urgent due to the privacy issues caused by information exchange between players. This …

Distributed variable sample-size gradient-response and best-response schemes for stochastic Nash equilibrium problems

J Lei, UV Shanbhag - SIAM Journal on Optimization, 2022 - SIAM
This paper considers an n-player stochastic Nash equilibrium problem (NEP) in which the i
th player minimizes a composite objective f_i(∙,x_-i)+r_i(∙), where f_i is an expectation-valued …

Nash equilibrium in iterated multiplayer games under asynchronous best-response dynamics

Y Zhu, C Xia, Z Chen - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
As an important branch of evolutionary game theory, iterated games describe the situations
that interacting agents play repeatedly based on previous outcomes by using the conditional …

Differentially-private distributed algorithms for aggregative games with guaranteed convergence

Y Wang, A Nedić - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
The distributed computation of a Nash equilibrium in aggregative games is gaining
increased traction in recent years. Of particular interest is the coordinator-free scenario …

On distributionally robust generalized Nash games defined over the Wasserstein ball

F Fabiani, B Franci - Journal of Optimization Theory and Applications, 2023 - Springer
In this paper we propose an exact, deterministic, and fully continuous reformulation of
generalized Nash games characterized by the presence of soft coupling constraints in the …

Online distributed learning for aggregative games with feedback delays

P Liu, K Lu, F Xiao, B Wei… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article proposes a new aggregative game (AG) model with feedback delays. The
strategies of players are selected from given strategy sets and subject to global nonlinear …

Training generative adversarial networks via stochastic Nash games

B Franci, S Grammatico - IEEE Transactions on Neural …, 2021 - ieeexplore.ieee.org
Generative adversarial networks (GANs) are a class of generative models with two
antagonistic neural networks: a generator and a discriminator. These two neural networks …

Solving decision-dependent games by learning from feedback

K Wood, A Zamzam… - IEEE Open Journal of …, 2024 - ieeexplore.ieee.org
This paper tackles the problem of solving stochastic optimization problems with a decision-
dependent distribution in the setting of stochastic strongly-monotone games and when the …