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The Prisoners’ Dilemma is so named becauseGroup of answer choicesthe Nash equilibrium is one of the worst outcomes for the players.the game has no Nash equilibriumthe game is zero-sumplayers end up earning a lighter sentence than the prosecutor would like.

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The Prisoners’ Dilemma is so named becauseGroup of answer choicesthe Nash equilibrium is one of the worst outcomes for the players.the game has no Nash equilibriumthe game is zero-sumplayers end up earning a lighter sentence than the prosecutor would like.

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Solution

The Prisoners’ Dilemma is so named because the Nash equilibrium is one of the worst outcomes for the players.

Here's a step-by-step explanation:

  1. The Prisoners' Dilemma is a standard example of a game analyzed in game theory that shows why two completely rational individuals might not cooperate, even if it appears that it is in their best interests to do so.

  2. The dilemma is named after a hypothetical scenario in which two individuals are arrested and charged with a crime. They are held in separate cells and cannot communicate with each other. The prosecutor offers each prisoner a bargain - each prisoner is given the opportunity either to betray the other by testifying that the other committed the crime, or to cooperate with the other by remaining silent.

  3. The Nash equilibrium in this game is a situation where both prisoners choose to betray each other. This is because, given the choice, each prisoner would choose to betray the other, as it leads to a better outcome for them individually.

  4. However, this Nash equilibrium is one of the worst outcomes for the players as a whole. If both prisoners had cooperated and remained silent, they would have received a lighter sentence overall.

  5. Therefore, the Prisoners' Dilemma is so named because the Nash equilibrium - the point at which neither player has anything to gain by unilaterally changing their own strategy - is one of the worst outcomes for the players.

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