… Various versions of the logit dynamics have been presented to compute Nash equilibria
in such setting in both discrete action [5], [6] and continuous action [7], [8] games. In some …

… ,m always exist; (2) if yes, does αm converge; and (3) if yes, is the … use backpropagation to
derive the gradient of the loss function … We plot the true distribution of the linear dynamics (16) (…

… We prove the converge of this dynamics to stationary Nash equilibria in identical-interest …
stationary strategies and thus, no gradient method is guaranteed to converge, even to a local …

… thus, no gradient based method is guaranteed to converge, even to a local … the convergence
to regularized stationary Nash equilibria of an associated smooth continuous-time dynamics …

… We reveal the convergence of a well-known gradientplay dynamics from a passivity-based …
novel dynamics by introducing PFCs and OFCs to a gradient-play scheme with convergence …

… dynamics have been proposed for seeking an NE over the years. From best-response (BR),
(projected) gradient (PG) play, and proximal algorithms to fictitious play (… of convergence, we …

… Abstract—We design a distributed algorithm for learning Nash equilibria over time-varying …
Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria…

… convergence of our algorithm to a Nash equilibrium. Furthermore, we show that our method
outperforms the fastest known gradient… Arslan, “Dynamic fictitious play, dynamic gradient play…

… convergent results about the distributed gradient play: 1) a Nash equilibrium is convergent
under the classic gradient … , fictitious play, and log-linear play, belongs in this category. In this …

… As a simple example, optimistic gradient methods are known to converge to Nash … regret,
and we believe that understanding the dynamics of the algorithm even in the case of no-…