-Consider the reduced form of the Sink-the-Battleship Game depicted in Figure 6.4 where 1 designates a "hit" and 0 designates a "miss." Ilia's optimal mixing rule is to program its computer to:
A) Randomly select IGDB one out of two times.
B) Randomly select IHFC one out of two times.
C) Randomly select IGDB one out of 3 times.
D) Randomly select IHFC one out of 3 times.
E) Answers a and b are correct.

Question

-Consider the reduced form of the Sink-the-Battleship Game depicted in Figure 6.4 where 1 designates a "hit" and 0 designates a "miss." Ilia's optimal mixing rule is to program its computer to:
A) Randomly select IGDB one out of two times. 
B) Randomly select IHFC one out of two times. 
C) Randomly select IGDB one out of 3 times. 
D) Randomly select IHFC one out of 3 times. 
E) Answers a and b are correct.

Quizplus · Accepted Answer

Ilia's optimal mixing rule involves creating unpredictability in their choices to prevent the opponent from easily predicting their moves. Both options A and B suggest a strategy of random selection, which aligns with the principle of mixing strategies in game theory to keep the opponent guessing. By randomly selecting between two different sequences (IGDB and IHFC), Ilia maximizes the unpredictability of their actions, making it harder for the opponent to devise a counter-strategy.

-Consider the Reduced Form of the Sink-The-Battleship Game Depicted in Figure