-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." Suppose that Acre adopts its optimal mixing rule. Its success rate will be:
A) 25 percent.
B) 50 percent.
C) 75 percent.
D) 100 percent.
E) None of the above.

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." Suppose that Acre adopts its optimal mixing rule. Its success rate will be:
A) 25 percent. 
B) 50 percent. 
C) 75 percent. 
D) 100 percent. 
E) None of the above.

Quizplus · Accepted Answer

In a game theory context, when Acre adopts its optimal mixing rule in a Sink-the-Battleship Game, it means Acre is using a strategy that makes the opponent indifferent between their possible choices. This typically results in a situation where each player's success rate is equal to the probability of their opponent making a mistake, assuming rational play. In a well-balanced game, this often leads to a 50 percent success rate, as it ensures that no player has a dominant strategy that could guarantee a win more than half the time without making the game unfair or uninteresting.

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