# On optimal control, game theory, and applications

- A. Bressan and B. Piccoli,
*Introduction to the Mathematical Theory of Control*, AIMS Series in Applied Mathematics, Springfield Mo. 2007. - A. Bressan, Noncooperative differential games.
*Milan J. of Mathematics*,**79**(2011), 357--427. - A. Bressan and D. Wei, Non-classical problems of optimal feedback control.
*J. Differential Equations***253**(2012), 1111--1142. - A. Bressan and G. Facchi, A bidding game in a continuum limit order book,
*SIAM J. Control Optim.*,**51**(2013), 3459--3485. - A. Bressan and D. Wei,
Stackelberg solutions of feedback type for differential games with random initial data.
*Dynamic Games & Appl.*,**3**(2013), 341--358. - A. Bressan and G. Facchi,
Discrete bidding strategies for a random incoming order,
*SIAM J. Financial Math*,**5**(2014), 50--70. - 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. - A. Bressan, Globally optimal and Nash equilibrium
solutions for traffic flow on networks, in
*Hyperbolic Problems: Theory, Numerics and Applications*, AIMS publications, 2014 - A. Bressan and D. Wei,
A bidding game with heterogeneous players,
*J. Optim. Theory Appl.*,163(2014), 1018–1048. - A. Bressan and M. Mazzola,
Graph completions for impulsive feedback controls,
*J. Math. Anal. Appl.*,412 (2014), 976–988. - A. Bressan and H. Wei,
Dynamic stability of the Nash equilibrium for a bidding game,
*Analysis and Applications*,**14**(2016), 591--614. - A.Bressan and K.Nguyen,
A game theoretical model of debt and bankruptcy,
*ESAIM: Control, Optim. Calc. Variat.*,**22**(2016), 953–982. - A.Bressan and K.Nguyen,
Stability of feedback solutions
for infinite horizon noncooperative differential games,
*Dyn. Games Appl.*, to appear. - A.Bressan and Y.Jiang,
Optimal open-loop strategies in a debt management problem,
*Analysis & Appl.*, to appear.. - A.Bressan, A.Marigonda, K.Nguyen, and M.Palladino, A stochastic model of optimal debt management and bankruptcy,
*SIAM J. Math. Finance*, to appear. - 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*, to appear. - A. Bressan, M. Mazzola, and H. Wei, A dynamic model of the limit order book, submitted.