Strategic Advice for Thelma
You are a legal advisor for Thelma, who has been arrested with her partner, Louise. They are being interrogated in separate rooms and cannot communicate. They each face the same choice: Accuse the other of the crime or Deny the crime. The district attorney has laid out the consequences (in years of prison) in the following payoff matrix. The first number in each pair is Thelma's sentence, and the second is Louise's. A lower number of years is a better outcome.
| Louise: Accuse | Louise: Deny | |
|---|---|---|
| Thelma: Accuse | (5, 5) | (0, 20) |
| Thelma: Deny | (20, 0) | (1, 1) |
Based on a rational analysis of the potential outcomes for Thelma, what single course of action should you advise her to take? Justify your advice by explaining why this action is her best choice regardless of Louise's decision.
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Pareto Inefficient Outcome in the Thelma and Louise Prisoners' Dilemma
Two partners in crime, Thelma and Louise, are interrogated in separate rooms. They each have two choices: Accuse the other or Deny the crime. The potential outcomes, represented as years in prison, are shown in the matrix below (Thelma's outcome, Louise's outcome). A lower number of years is a better outcome for the individual. By analyzing each player's optimal choice for every possible action of the other player, determine the single equilibrium outcome of this scenario.
Louise: Accuse Louise: Deny Thelma: Accuse (5, 5) (0, 20) Thelma: Deny (20, 0) (1, 1) Justifying the Equilibrium Outcome
Consider the following payoff matrix for the Thelma and Louise prisoners' dilemma, where the outcomes are years in prison (Thelma's outcome, Louise's outcome). A lower number is a better outcome.
Louise: Accuse Louise: Deny Thelma: Accuse (5, 5) (0, 20) Thelma: Deny (20, 0) (1, 1) Statement: If Thelma is absolutely certain that Louise will choose to 'Deny', Thelma's best strategic choice to minimize her own prison time is to also 'Deny'.
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Thelma and Louise are in a classic prisoners' dilemma. The payoff matrix below shows their potential prison sentences in years (Thelma's sentence, Louise's sentence), where a lower number is a better outcome. To determine Thelma's dominant strategy, you must analyze her best response to each of Louise's possible actions. Match each scenario (Term) with the correct strategic conclusion for Thelma (Definition).
Louise: Accuse Louise: Deny Thelma: Accuse (5, 5) (0, 20) Thelma: Deny (20, 0) (1, 1) In the strategic problem where two partners, Thelma and Louise, are interrogated separately, the outcome where both choose to accuse the other is the stable result. This is because accusing is the best personal choice for each individual, no matter what the other partner decides to do. An outcome that results from each player choosing their single best option regardless of the other's choice is known as a ________ ________ equilibrium.
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