Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems
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Publication:2316620
DOI10.1007/s10107-018-1266-4zbMath1418.90182arXiv1706.06847OpenAlexW2963622009MaRDI QIDQ2316620
Hailin Sun, Huifu Xu, Xiaojun Chen
Publication date: 6 August 2019
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.06847
error bounddiscrete approximationex post equilibriumdistributionally robust linear complementarity problemtwo-stage stochastic linear complementarity problem
Stochastic programming (90C15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Unnamed Item
- An approximation scheme for a class of risk-averse stochastic equilibrium problems
- Open versus closed loop capacity equilibria in electricity markets under perfect and oligopolistic competition
- Handbook of generalized convexity and generalized monotonicity
- Uniform exponential convergence of sample average random functions under general sampling with applications in stochastic programming
- Sample-path solution of stochastic variational inequalities
- Distributionally robust optimization with matrix moment constraints: Lagrange duality and cutting plane methods
- Two-stage stochastic variational inequalities: an ERM-solution procedure
- Stochastic variational inequalities: single-stage to multistage
- Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging
- Newton iterations in implicit time-stepping scheme for differential linear complementarity systems
- Varying confidence levels for CVaR risk measures and minimax limits
- Computation of error bounds for P-matrix linear complementarity problems
- Robust game theory
- Integrals of set-valued functions
- Convergence of Stationary Points of Sample Average Two-Stage Stochastic Programs: A Generalized Equation Approach
- Stochastic Variational Inequalities: Residual Minimization Smoothing Sample Average Approximations
- Introduction to Stochastic Programming
- Scenarios and Policy Aggregation in Optimization Under Uncertainty
- Perturbation Bounds of P-Matrix Linear Complementarity Problems
- SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS
- Lectures on Stochastic Programming
- Efficient and Durable Decision Rules with Incomplete Information
- Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist when Demands are Interdependent
- Optimization and nonsmooth analysis
- A Stochastic Version of a Stackelberg-Nash-Cournot Equilibrium Model
- Stackelberg-Nash-Cournot Equilibria: Characterizations and Computations
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Stochastic Approximation Approaches to the Stochastic Variational Inequality Problem
- Expected Residual Minimization Method for Stochastic Linear Complementarity Problems
- An MPCC approach for stochastic Stackelberg–Nash–Cournot equilibrium
- An Implicit Programming Approach for a Class of Stochastic Mathematical Programs with Complementarity Constraints
- Existence and Uniqueness of Equilibrium Points for Concave N-Person Games