Zero Sum Differential Games With Stopping Times: Some Results About its Numerical Resolution

1994 ◽  
pp. 106-124 ◽  
Author(s):  
Mabel M. Tidball ◽  
R. L. V. González
Keyword(s):  
Differential Games ◽  
Stopping Times ◽  
Numerical Resolution ◽  
Zero Sum

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

scholarly journals Differential Games of Mixed Type with Control and Stopping Times

2009 ◽  
Vol 16 (2) ◽  
pp. 143-158 ◽  
Author(s):  
Mrinal K. Ghosh ◽  
Mallikarjuna K. S. Rao ◽  
Dharmatti Sheetal
Keyword(s):  
Differential Games ◽  
Mixed Type ◽  
Stopping Times

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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