• Media type: E-Book
  • Title: A Policy Iteration Algorithm for Nonzero-Sum Stochastic Impulse Games
  • Contributor: Aïd, René [Author]; Bernal, Francisco [Other]; Mnif, Mohamed [Other]; Zabaljauregui, Diego [Other]; Zubelli, Jorge [Other]
  • imprint: [S.l.]: SSRN, [2020]
  • Extent: 1 Online-Ressource (23 p)
  • Language: English
  • Origination:
  • Footnote: In: ESAIM: ProcS: 27-45, 2019
    Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments December 1, 2017 erstellt
  • Description: This work presents a novel policy iteration algorithm to tackle nonzero-sum stochastic impulse games arising naturally in many applications. Despite the obvious impact of solving such problems, there are no suitable numerical methods available, to the best of our knowledge. Our method relies on the recently introduced characterization of the value functions and Nash equilibrium via a system of quasi-variational inequalities. While our algorithm is heuristic and we do not provide a convergence analysis, numerical tests show that it performs convincingly in a wide range of situations, including the only analytically solvable example available in the literature at the time of writing
  • Access State: Open Access