Bombardment.
At first opponent has two bombers, one of them loaded with bombs, the other means of protection and special equipment. These bombers take off to bomb the crossing of another opponent. During the flight of the first of the bombers under more effective protection of the latter than a second under the protection of the first. Purpose of the first enemy to bomb a ferry, so it is more important to maintain a bomber with bombs. The second is better to attack the enemy fighter bomber in a less secure position. Thus, the first opponent has two strategies:
1. Aircraft with bombs flying under the guise of the second bomber, ie, aircraft with bombs flying first.
2. The aircraft with the means of flying first, ie, it is under the guise of an aircraft with bombs.
The second enemy also has two strategies:
1. First attack bomber.
2. Second attack bomber.
Known data. The probability of not downed bomber to stay and break the crossing is equal to:
>0.6, if it is attacked by a fighter in a better position for him;
0.4, if it is attacked by a fighter in a less advantageous position for him;
1, if it is not attacked by fighters.
Thus, the matrix of winning the first of the enemy, composed of the probabilities of hitting a target, represented as follows:
Obviously, this matrix has no saddle point, and the decision to play mixed strategies as follows: