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Considering a class of gradient-based multi-agent learning algorithms in non-cooperative settings, we provide local convergence guarantees to a neighborhood of a stable local Nash equilibrium.
An estimate for the perturbations of the solutions of ordinary differential equations
V. M. Alekseev · 1961
Earlier work this paper cites.
Solution of Equations and Systems of Equations
A. M. Ostrowski · 1966
Earlier work this paper cites.
Iterative Solutions to Nonlinear Equations in Several Variables
J. M. Ortega and W. C. Rheinboldt · 1970
Earlier work this paper cites.
Linear Systems Theory
F. Callier and C. Desoer · 1991
Earlier work this paper cites.
Lyapunov iterations for solving coupled algebraic riccati equations of nash differential games and algebraic riccati equations of zero-sum games
T-Y. Li and Z. Gajic · 1995
Earlier work this paper cites.
Evolutionary dynamics for bimatrix games: A hamiltonian system?
Josef Hofbauer · 1996
Earlier work this paper cites.
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Dov Monderer and Lloyd S. Shapley · 1996
Earlier work this paper cites.
Dynamic Noncooperative Game Theory
T. Basar and G. Olsder · 1998
Earlier work this paper cites.
The theory of learning in games , volume 2
Drew Fudenberg and David K Levine · 1998
Earlier work this paper cites.
A generalization of ostrowski’s theorem on fixed points
I. K. Argyros · 1999
Earlier work this paper cites.
Dynamics of stochastic approximation algorithms
Michel Benaïm · 1999
Earlier work this paper cites.
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games
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Uncoupled dynamics do not lead to nash equilibrium
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Stochastic Approximation: A Dynamical Systems Viewpoint
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Multiple equilibria and limit cycles in evolutionary games with logit dynamics
Cars H. Hommes and Marius I. Ochea · 2011
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Stochastic approximation on riemannian manifolds
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The mechanics of n-player differentiable games
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Concentration bounds for two time scale stochastic approximation
Vivek S. Borkar and Sarath Pattathil · 2018
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Two time-scale stochastic approximation with controlled markov noise and off-policy temporal-difference learning
Prasenjit Karmakar and Shalabh Bhatnagar · 2018
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Deep reinforcement learning from self-play in imperfect-information games
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On the Characterization of Local Nash Equilibria in Continuous Games
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On the convergence of competitive, multi-agent gradient-based learning algorithms
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Game dynamics as the meaning of a game
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Symmetric decomposition of asymmetric games
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On finding local nash equilibria (and only local nash equilibria) in zero-sum games
E. Mazumdar, M. Jordan, and S. S. Sastry · 2019
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Learning in games with continuous action sets and unknown payoff functions
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