Bb 20020389 x + X -> C A learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5fd94affdac6c/20020389?X-Blackboard-Expiration=16393212000008X-Blackboard-Signature=28Bvczp0Vzs%2BxCgnbhMCImo3sGxawuyYRqi78pfsbBo%3D&X-Bla... @ @ * GBP R # Update : Apps USC MO GO m Read Other bookmarks Reading list E 20020389 6 / 10 - 151% +89 6. Thick as Thieves (Altruistic players in the Prisoner' Dilemma) Each of two players has two possible actions, cooperate (C) and defect (D). The monetary payoff to each action profile are given in the following table: D C D 1,1 3,0 C 0,3 2,2 However, the above table does not represent the true preferences of the players, as they care about what the other player earns as well as their own earnings. In particular, if player mi(a) is the amount of money earned by player i and m; (a) is the amount of money earned by player j, then the payoff to player i is mi(a) + am; (a), where a 2 0 (Of course, when a =0, the payoffs coincide with the ones in the above table). For example, player Is payoff to action profile (C,C) is ul (C, C) = 2+20, and player 1's payoff to action profile (C,D) is u1(C, D) = 0+ 30 = 30 (a) Write down the strategic form of this game for a = 1: Is this game a Prisoners' Dilemma game? (b) Find the range of values of a for which the resulting game is the Prisoners' Dilemma. For values of a for which the game is not the Prisoners' Dilemma, find its Nash equilibria. Type here to search O N 47.F Clear ~ 0 1(6 ENG 01:45 IN 12/12/2021