two-stage distributionally robust program

Two-stage distributionally robust noncooperative games: Existence of Nash equilibrium and its application to Cournot-Nash competition

  • Atsushi Hori
  • Nobuo Yamashita
    • Categories Game Theory Tags , , ,

    Two-stage distributionally robust stochastic noncooperative games with continuous decision variables are studied. In such games, each player solves a two-stage distributionally robust optimization problem depending on the decisions of the other players. Existing studies in this area have been limited with strict assumptions, such as linear decision rules, and supposed that each player solves a … Read more

    Scenario-based cuts for structured two-stage stochastic and distributionally robust p-order conic mixed integer programs

  • Manish Bansal
  • Yingqiu Zhang
    • Categories (Mixed) Integer Nonlinear Programming, Cutting Plane Approaches, Stochastic Programming Tags , , , ,

    In this paper, we derive (partial) convex hull for deterministic multi-constraint polyhedral conic mixed integer sets with multiple integer variables using conic mixed integer rounding (CMIR) cut-generation procedure of Atamtürk and Narayanan (Math Prog 122:1–20, 2008), thereby extending their result for a simple polyhedral conic mixed integer set with single constraint and one integer variable. … Read more