On the uniqueness of the Nash solution in Linear-Quadratic differential Games

1976 ◽  
Vol 5 (2-3) ◽  
pp. 65-90 ◽  
Author(s):  
T. Basar
Keyword(s):  
Differential Games ◽  
Quadratic Differential ◽  
Nash Solution ◽  
Linear Quadratic ◽  
Linear Quadratic Differential Games ◽  
The Nash Solution

Payoff Sensitivity of Linear Quadratic Differential Games to Parameter Change

1981 ◽  
Vol 103 (1) ◽  
pp. 36-38
Author(s):  
C. T. Leondes ◽  
T. K. Sui
Keyword(s):  
Differential Games ◽  
Quadratic Differential ◽  
Optimal Strategy ◽  
Small Variation ◽  
Matrix Equations ◽  
Parameter Change ◽  
Linear Quadratic ◽  
System Parameters ◽  
Linear Quadratic Differential Games ◽  
Zero Sum

Both maximizing and minimizing players are concerned with the change in payoff due to small variation of system parameters. A technique is developed to derive linear algebraic matrix equations which can be used to determine the payoff sensitivity of all the parameters in linear zero- sum differential games with constant feedback. Above all, this technique is applicable for determining both the optimal strategy and payoff.

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