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20102022
most citedA Passivity-Based Approach to Nash Equilibrium Seeking over Networks

337 citations · 1.7k across the 25 of their papers we have counts for

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Showing 2017Show all

7 papers · 1 filter

math.OC2017★ 119 cited

Distributed Nash Equilibrium Seeking under Partial-Decision Information via the Alternating Direction Method of Multipliers

Farzad Salehisadaghiani, Wei Shi, Lacra Pavel

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in tha…

math.OC2017★ 337 cited

A Passivity-Based Approach to Nash Equilibrium Seeking over Networks

Dian Gadjov, Lacra Pavel

In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continu…

math.OC2017★ 82 cited

Distributed generalized Nash equilibria computation of monotone games via a preconditioned proximal point algorithm

Peng Yi, Lacra Pavel

In this paper, we investigate distributed generalized Nash equilibrium (GNE) computation of monotone games with affine coupling constraints. Each player can only utilize its local…

math.OC2017★ 206 cited

On the Properties of the Softmax Function with Application in Game Theory and Reinforcement Learning

Bolin Gao, Lacra Pavel

In this paper, we utilize results from convex analysis and monotone operator theory to derive additional properties of the softmax function that have not yet been covered in the ex…

cs.GT2017★ 58 cited

A Distributed Nash Equilibrium Seeking in Networked Graphical Games

Farzad Salehisadaghiani, Lacra Pavel

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the action…

cs.GT2017★ 3 cited

Generalized Nash Equilibrium Problem by the Alternating Direction Method of Multipliers

Farzad Salehisadaghiani, Lacra Pavel

In this paper, the problem of finding a generalized Nash equilibrium (GNE) of a networked game is studied. Players are only able to choose their decisions from a feasible action se…

math.OC2017★ 281 cited

A distributed primal-dual algorithm for computation of generalized Nash equilibria with shared affine coupling constraints via operator splitting methods

Peng Yi, Lacra Pavel

In this paper, we propose a distributed primal-dual algorithm for computation of a generalized Nash equilibrium (GNE) in noncooperative games over network systems. In the considere…