3 citations · 4 across the 6 of their papers we have counts for
9 papers
On local uniqueness of normalized Nash equilibria
Vladimir Shikhman
For generalized Nash equilibrium problems (GNEP) with shared constraints we focus on the notion of normalized Nash equilibrium in the nonconvex setting. The property of nondegenera…
Network manipulation algorithm based on inexact alternating minimization
David Müller, Vladimir Shikhman
In this paper, we present a network manipulation algorithm based on an alternating minimization scheme from (Nesterov 2020). In our context, the latter mimics the natural behavior…
Regularized quasi-monotone method for stochastic optimization
Vyacheslav Kungurtsev, Vladimir Shikhman
We adapt the quasi-monotone method from [2] for composite convex minimization in the stochastic setting. For the proposed numerical scheme we derive the optimal convergence rate in…
Cardinality-constrained optimization problems in general position and beyond
Vladimir Shikhman, Sebastian Lämmel
We study cardinality-constrained optimization problems (CCOP) in general position, i. e. those optimization-related properties that are fulfilled for a dense and open subset of the…
Dynamic pricing under nested logit demand
David Müller, Yurii Nesterov, Vladimir Shikhman
Recently, there is growing interest and need for dynamic pricing algorithms, especially, in the field of online marketplaces by offering smart pricing options for big online stores…
Topological approach to mathematicalprograms with switching constraints
Vladimir Shikhman
We study mathematical programs with switching constraints (MPSC)from the topological perspective. Two basic theorems from Morse theory are proved. Outside the W-stationary point se…