
Fast generalized Nash equilibrium seeking under partialdecision information
We address the generalized Nash equilibrium (GNE) problem in a partiald...
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Distributed Nash Equilibrium Seeking under Quantization Communication
This paper investigates Nash equilibrium (NE) seeking problems for nonco...
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Distributed GNE seeking under partialdecision information over networks via a doublyaugmented operator splitting approach
We consider distributed computation of generalized Nash equilibrium (GNE...
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Matrix Exponential Learning for Resource Allocation with Low Informational Exchange
We consider a distributed resource allocation problem in a multicarrier ...
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A continuoustime distributed generalized Nash equilibrium seeking algorithm over networks for doubleintegrator agents
We consider a system of single or double integrator agents playing a ge...
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Nash equilibrium seeking under partialdecision information over directed communication networks
We consider the Nash equilibrium problem in a partialdecision informati...
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Continuoustime fully distributed generalized Nash equilibrium seeking for multiintegrator agents
We consider a group of (multi)integrator agents playing games on a netw...
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A distributed proximalpoint algorithm for Nash equilibrium seeking under partialdecision information with geometric convergence
We consider the Nash equilibrium seeking problem for a group of noncooperative agents, in a partialdecision information scenario. First, we recast the problem as that of finding a zero of a monotone operator. Then, we design a novel fully distributed, singlelayer, fixedstep algorithm, which is a suitably preconditioned proximalpoint iteration. We prove its convergence to a Nash equilibrium with geometric rate, by leveraging restricted monotonicity properties, under strong monotonicity and Lipschitz continuity of the game mapping. Remarkably, we show that our algorithm outperforms known gradientbased schemes, both in terms of theoretical convergence rate and in practice according to our numerical experience.
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