Keywords: differential games, control theory, Hamilton-Jacobi equations, Nash equilibrium.

In 2007-2008 I developed the reconstruction of zero-sum differential games. The main result was the method of reconstruction of differential games with terminal and Bolza payoff.  

Since 2008 I study the nonzero-sum differential games. The main achievements are 

• the connection between the Programmed Absorption Method and Nash Equilibrium Payoffs, 
• the Characterization of Nash Equilibrium Payoffs via nonsmooth analysis, suffisient condition on function to provide the Nash Equilibrium, 
• the formalization of nonzero-sum differential games in the class of nonticipative strategies. 

Current positions: 

• Senior Researcher, Department of Controlled Systems, Institute of Mathematics and Mechanics UrB RAS, Ekaterinburg, Russia.
• Associate Professor, Ural Federal University, Ekaterinburg, Russia

E-mail: averboukh AT gmail.com, ayv AT imm.uran.ru