Center for Interdisciplinary Mathematics

Department of Mathematics

On optimal control, game theory, and applications

  1. A. Bressan and B. Piccoli, Introduction to the Mathematical Theory of Control, AIMS Series in Applied Mathematics, Springfield Mo. 2007.
  2. A. Bressan, Noncooperative differential games. Milan J. of Mathematics, 79 (2011), 357–427.
  3. A. Bressan and D. Wei, Non-classical problems of optimal feedback control. J. Differential Equations 253 (2012), 1111–1142.
  4. A. Bressan and G. Facchi, A bidding game in a continuum limit order book, SIAM J. Control Optim., 51 (2013), 3459–3485.
  5. A. Bressan and D. Wei, Stackelberg solutions of feedback type for differential games with random initial data. Dynamic Games & Appl., 3 (2013), 341–358.
  6. A. Bressan and G. Facchi, Discrete bidding strategies for a random incoming order, SIAM J. Financial Math, 5 (2014), 50–70.
  7. A. Bressan, Dynamic blocking problems for a model of fire propagation. In Advances in Applied Mathematics, Modeling, and Computational Science, pp. 11–40. R. Melnik and I. Kotsireas editors. Fields Institute Communications, Springer, New York, 2013.
  8. A. Bressan, Globally optimal and Nash equilibrium solutions for traffic flow on networks, inHyperbolic Problems: Theory, Numerics and Applications, AIMS publications, 2014
  9. A. Bressan and D. Wei, A bidding game with heterogeneous players, J. Optim. Theory Appl.,163  (2014), 1018–1048.
  10. A. Bressan and M. Mazzola, Graph completions for impulsive feedback controls, J. Math. Anal. Appl.,412 (2014), 976–988.
  11. A. Bressan and H. Wei, Dynamic stability of the Nash equilibrium for a bidding game, Analysis and Applications, 14 (2016), 591–614.
  12. A.Bressan and K.Nguyen, A game theoretical model of debt and bankruptcy, ESAIM: Control, Optim. Calc. Variat., 22 (2016), 953–982.
  13. A.Bressan and K.Nguyen, Stability of feedback solutions for infinite horizon noncooperative differential games, Dyn. Games Appl.  8 (2018), 42–78.
  14. A.Bressan and Y.Jiang, Optimal open-loop strategies in a debt management problem, Analysis & Appl., 16 (2018), 133–157.
  15. A.Bressan, A.Marigonda, K.Nguyen, and M.Palladino, A stochastic model of optimal debt management and bankruptcy, SIAM J. Financial Math. 8 (2017), 841–873.
  16. A.Bressan and Y.Jiang, The vanishing viscosity limit for a system of H-J equations related to a debt management problem, Discr. Cont. Dyn. Syst. – Series S,  11 (2018), 793–824.
  17. A. Bressan, M. Mazzola, and H. Wei, A dynamic model of the limit order book, Discr. Cont. Dyn. Syst. – B, to appear.
  18. A.Bressan and V.Staicu, On the competitive harvesting of marine resources, SIAM J.~Control Optim., 57 (2019), 3961–3984.
  19. A.Bressan and Y.Jiang, On the generic structure and stability of Stackelberg equilibria,
     J. Optim. Theory Appl., to appear.
  20. A.Bressan and Y.Jiang, Self-consistent feedback Stackelberg equilibria for infinite horizon stochastic games, Dynamic Games and Appl.10 (2020), 328–360.
  21. A.Bressan, M.T.Chiri, and N.Salehi, On the optimal control of propagation fronts, Math. Models Methods Appl. Sci. , to appear.
  22. A.Bressan, M.T.Chiri, and N.Salehi, Optimal control of moving sets, submitted.