Justifying the Equilibrium Outcome
Consider the following scenario involving two suspects, Thelma and Louise, who are interrogated separately. They can either 'Accuse' the other or 'Deny' the crime. The payoff matrix below shows the years in prison for each outcome, with lower numbers being better (Thelma's years, Louise's years).
| Louise: Accuse | Louise: Deny | |
|---|---|---|
| Thelma: Accuse | (5, 5) | (0, 20) |
| Thelma: Deny | (20, 0) | (1, 1) |
Explain, from the perspective of one of the players (either Thelma or Louise), why choosing 'Accuse' is their best option regardless of the other player's choice.
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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'.
Strategic Advice for Thelma
Critiquing a Flawed Strategy
The Instability of Cooperation
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.
Evaluating Strategic Reasoning