Caven and John have been arrested by the police,who have evidence that will convict them of robbing a bank.If convicted,each will receive a sentence of 6 years for the robbery.During questioning,the police suspect that Caven and John are responsible for a series of bank robberies.If both confess to the series,each will receive 12 years in jail.If only one confesses,he will receive 4 years and the one who does not confess will receive 14 years.What is the equilibrium for this game?

Question

Quizplus · Accepted Answer

In this game, the dominant strategy is to confess, regardless of the other player's choice. Both players know that if they confess, they will both receive a lesser sentence than if they deny. However, if only one confesses, they will receive an even lesser sentence at the cost of the other player receiving a greater sentence. Therefore, the Nash equilibrium for this game is for both players to confess.

Caven and John Have Been Arrested by the Police,who Have