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Construct a payoff matrix for each of the following situations.Based on yourmatrices, what is the optimal strategy for each player to follow, and what outcome

Construct a payoff matrix for each of the following situations.Based on yourmatrices, what is the optimal strategy for each player to follow, and what outcome do you predict?

The Dark Knight - Jokers Social Experiment: There are two boats that are loaded to capacity and are rigged to explode at any time. The catch is that each boat has the ability to press a remote button to explode the other boat. If a boat presses the button it will explode the other boat and save their boat. If no one presses the button they all survive. Construct a payoff matrix about the situation.

Memorable Movie Death #3 - Vizzini From Princess Bride - Two men have agreed to risk their lives and challenge the other person on their level of intelligence. The challenge they have agreed on involves two cups filled with water, one of which will have a poison added into it. One man (person A) has the choice of adding the poison into his own cup, or adding it into the cup of the other man. The other man (person B) has the choice of drinking their own cup or drinking the cup of person A. Construct a payoff matrix about the situation.

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