scholarly journals Inverse Stackelberg Solutions for Games with Many Followers

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 151
Author(s):  
Yurii Averboukh
Keyword(s):  
Existence Theorem ◽  
Differential Games ◽  
Stackelberg Games ◽  
Main Assumption ◽  
Stackelberg Solutions ◽  
Inverse Stackelberg Games

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions, establish the existence theorem.

scholarly journals Numerical Stackelberg Solutions in a Class of Positional Differential Games

2018 ◽  
Vol 51 (32) ◽  
pp. 326-330
Author(s):  
Dmitry R. Kuvshinov ◽  
Sergei I. Osipov
Keyword(s):  
Differential Games ◽  
Stackelberg Solutions

Nash Equilibrium Payoffs for Stochastic Differential Games with two Reflecting Barriers

2015 ◽  
Vol 47 (02) ◽  
pp. 355-377
Author(s):  
Qian Lin
Keyword(s):  
Nash Equilibrium ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Differential Games ◽  
Backward Stochastic Differential Equations ◽  
Stochastic Differential Games ◽  
Cost Functionals ◽  
Reflecting Barriers

In this paper we study Nash equilibrium payoffs for nonzero-sum stochastic differential games with two reflecting barriers. We obtain an existence and a characterization of Nash equilibrium payoffs for nonzero-sum stochastic differential games with nonlinear cost functionals defined by doubly controlled reflected backward stochastic differential equations with two reflecting barriers.

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