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We propose an asynchronous block-iterative decomposition algorithm to solve Nash equilibrium problems involving a mix of nonsmooth and smooth functions acting on linear mixtures of strategies.
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1950
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J. Nash, Non-cooperative games,
1951
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A. Bensoussan, J.-L. Lions, and R. Temam, Sur les méthodes de décomposition, de décentralisation et de coordination, et applications,
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1987
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R. T. Rockafellar, Monotone relations and network equilibrium, in:
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M. N. Bùi and P. L. Combettes, Multivariate monotone inclusions in saddle form
2002
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F. Facchinei, A. Fischer, and V. Piccialli, On generalized Nash games and variational inequalities,
2007
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H. Attouch, J. Bolte, P. Redont, and A. Soubeyran, Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE’s,
2008
Cited alongside, same era.
P. L. Combettes and J.-C. Pesquet, Fixed point strategies in data science
2008
Cited alongside, same era.
L. M. Briceño-Arias and P. L. Combettes, Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery,
2009
Cited alongside, same era.
A. von Heusinger and C. Kanzow, Relaxation methods for generalized Nash equilibrium problems with inexact line search,
2009
Cited alongside, same era.
S. Hoda, A. Gilpin, J. Peña, and T. Sandholm, Smoothing techniques for computing Nash equilibria of sequential games,
2010
L. M. Briceño-Arias and P. L. Combettes, Monotone operator methods for Nash equilibria in non-potential games, in:
2013
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P. L. Combettes, Systems of structured monotone inclusions: Duality, algorithms, and applications,
2013
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H. H. Bauschke and P. L. Combettes,
2017
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M. Bravo, D. Leslie, and P. Mertikopoulos, Bandit learning in concave
2018
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P. L. Combettes and J. Eckstein, Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions,
2018
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L. M. Briceño-Arias, G. Chierchia, E. Chouzenoux, and J.-C. Pesquet, A random block-coordinate Douglas–Rachford splitting method with low computational complexity for binary logistic regression,
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Cited alongside, same era.
J.-B. Baillon, P. L. Combettes, and R. Cominetti, There is no variational characterization of the cycles in the method of periodic projections,
2012
Cited alongside, same era.
R. Cominetti, F. Facchinei, and J. B. Lasserre,
2012
Cited alongside, same era.
A. Kannan and U. V. Shanbhag, Distributed computation of equilibria in monotone Nash games via iterative regularization techniques,
2012
Cited alongside, same era.
2019
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P. Yi and L. Pavel, An operator splitting approach for distributed generalized Nash equilibria computation,
2019
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M. N. Bùi and P. L. Combettes, Warped proximal iterations for monotone inclusions,
2020
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