Problem #1: A three-player game (4 pts) Consider a variation on the three-player Prisoner's Dilemma shown in the slides
Posted: Wed Apr 27, 2022 11:45 am
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Problem #1: A three-player game (4 pts) Consider a variation on the three-player Prisoner's Dilemma shown in the slides from lecture 5. This variation is identical to that game, except that the police need two of the criminals to testify in order to convict the third. This changes the sentencing rules in two ways (indicated in bold below): • If all three keep quiet, then all three get short sentences. • If only one criminal testifies, all three still get short sentences. • If two criminals testify, then they get set free, and the third gets a long sentence. • If all three testify, then all three get medium sentences. a) Construct a game table for this game. (Hint: Consult the game in the slides to see what it should look like, only the payoffs should differ.)
b) Is (Quiet, Quiet, Quiet) a Nash Equilibrium of this game?