Michal Cervinka

On Cournot-Nash-Walras equilibria and their computation

  • Michal Cervinka
  • Michael C. Ferris
  • Jiri V. Outrata
    • Categories Nonsmooth Optimization Tags , , , , ,

    This paper considers a model of Cournot-Nash-Walras (CNW) equilibrium where the Cournot-Nash concept is used to capture equilibrium of an oligopolistic market with non-cooperative players/ rms who share a certain amount of a so-called rare resource needed for their production, and the Walras equilibrium determines the price of that rare resource. We prove the existence of … Read more

    Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets

  • Lukáš Adam
  • Michal Cervinka
  • Miroslav Pistek
    • Categories Complementarity and Variational Inequalities, Constrained Nonlinear Optimization, Nonsmooth Optimization Tags , , , , , ,

    This paper considers computation of Fr\’echet and limiting normal cones to a finite union of polyhedra. To this aim, we introduce a new concept of normally admissible stratification which is convenient for calculations of such cones and provide its basic properties. We further derive formulas for the above mentioned cones and compare our approach to … Read more