The Prisoner's Dilemma is often extended to n 2- 2 players and called a Social Dilemma game. The key properties of the prisoner's dilemma that are carried over are: 1] each player chooses cooperate [C] or defect {D}, 2] payoffs are symmetric g the payoff for each move, C or D, depends only on how many total players chose C (which implies how many chose D] 3] D strictly dominates C i.e., for any k, if k other players choose C, D pays more than being the k+1st player to choose C 4] Every player's payoff for "all C" is higher than for "all D\" Consider the following 4player social dilemma game: for 0 x = 5/8 => v(23) = V = 17/8 1 vs CE DE CF DF 23 A 2 1 -1 -1 -1 -5 0 2 -5 A maxmin B -1+x=1-6x => >=2/7 => v(1) = V = -5/7