337 citations · 1.7k across the 25 of their papers we have counts for
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math.OC2021
Second-Order Mirror Descent: Convergence in Games Beyond Averaging and Discounting
Bolin Gao, Lacra Pavel
In this paper, we propose a second-order extension of the continuous-time game-theoretic mirror descent (MD) dynamics, referred to as MD2, which provably converges to mere (but not…
eess.SY2021★ 3 cited
An inexact-penalty method for GNE seeking in games with dynamic agents
Andrew R. Romano, Lacra Pavel
We consider a network of autonomous agents whose outputs are actions in a game with coupled constraints. In such network scenarios, agents seeking to minimize coupled cost function…
math.OC2021★ 3 cited
On the exact convergence to Nash equilibrium in hypomonotone regimes under full and partial-information
Dian Gadjov, Lacra Pavel
In this paper, we consider distributed Nash equilibrium seeking in monotone and hypomonotone games. We first assume that each player has knowledge of the opponents' decisions and p…