The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two

question 102

Multiple Choice

The accompanying payoff matrix depicts the possible outcomes for two players involved in a game of Ping Pong. At this point in the game, the ball has just been hit to Dagny Taggart, and she chooses whether to hit right or hit left. At the same time, John Galt chooses whether to defend right (Dagny's right) or defend left (Dagny's left) . If a player receives a payoff of 1, the player wins the point; if the player receives a payoff of -1, the player loses the point. Use this information to answer the questions that follow.

-Which of the following statements best describes this game?

• A) Dagny's optimal strategy is to hit right, and John's optimal strategy is to defend right.
• B) Dagny's optimal strategy is to hit left, and John's optimal strategy is to defend left.
• C) Dagny's optimal strategy is to hit left, and John's optimal strategy is to defend left with probability 0.50 and defend right with probability 0.50.
• D) Dagny's optimal strategy is to hit left with probability 0.50 and hit right with probability 0.50, and John's optimal strategy is to hit left.
• E) Dagny's optimal strategy is to hit left with probability 0.50 and hit right with probability 0.50, and John's optimal strategy is to hit left with probability 0.50 and hit right with probability 0.50.

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Definitions:

Cold Fusion

A hypothetical type of nuclear reaction that would occur at, or near, room temperature, compared to the high temperatures required for traditional nuclear fusion.

Probability

A measure of the likelihood that an event will occur, often expressed as a number between 0 and 1.

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 (impossibility) and 1 (certainty).

Notation P(A)

In probability theory, a notation representing the probability of event A occurring.