- Problem 1 A Three Player Game 4 Pts Consider A Variation On The Three Player Prisoner S Dilemma Shown In The Slides 1 (30.57 KiB) Viewed 42 times
- Problem 1 A Three Player Game 4 Pts Consider A Variation On The Three Player Prisoner S Dilemma Shown In The Slides 2 (3.46 KiB) Viewed 42 times
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?