scholarly journals Hamilton–Jacobi equations and two-person zero-sum differential games with unbounded controls

2013 ◽  
Vol 19 (2) ◽  
pp. 404-437 ◽  
Author(s):  
Hong Qiu ◽  
Jiongmin Yong
Keyword(s):  
Differential Games ◽  
Unbounded Controls ◽  
Zero Sum ◽  
Jacobi Equations

Bias and Overtaking Equilibria for Zero-Sum Stochastic Differential Games

2011 ◽  
Vol 153 (3) ◽  
pp. 662-687 ◽  
Author(s):  
Beatris Escobedo-Trujillo ◽  
Daniel López-Barrientos ◽  
Onésimo Hernández-Lerma
Keyword(s):  
Differential Games ◽  
Stochastic Differential Games ◽  
Zero Sum

DETERMINISTIC DIFFERENTIAL GAMES UNDER PROBABILITY KNOWLEDGE OF INITIAL CONDITION

2008 ◽  
Vol 10 (01) ◽  
pp. 1-16 ◽  
Author(s):  
P. CARDALIAGUET ◽  
M. QUINCAMPOIX
Keyword(s):  
Differential Games ◽  
Differential Game ◽  
Random Distribution ◽  
Uniqueness Result ◽  
Initial Condition ◽  
Initial State ◽  
Lack Of Information ◽  
In The Beginning ◽  
Zero Sum ◽  
Future Work

We study a zero-sum differential game where the players have only an unperfect information on the state of the system. In the beginning of the game only a random distribution on the initial state is available. The main result of the paper is the existence of the value obtained through an uniqueness result for Hamilton-Jacobi-Isaacs equations stated on the space of measure in ℝn. This result is the first step for future work on differential games with lack of information.

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