26 Jul IS THIS GAME THE PRISONERS DILEMMA?
P1 P2 Quiet Fink Quiet (2 2) (0 3) Fink (3 0) Show more P1 P2 Quiet Fink Quiet (2 2) (0 3) Fink (3 0) (1 1) 5. Prisoners Dilemma (extended) Each of two players has two possible actions Quiet and Fink; each action pair results in the players receiving amounts of money equal to the numbers corresponding to the payouts in the table above. (For example player 1 chooses Quiet and player 2 chooses Fink then player 1 receives nothing and player 2 receives $3). The players are not selfish; rather the preference of each player i are represented by the payoff functions mi + amj where mi is the amount of money received by player i mjis the money received by the other player and a is a given non-negative number. For example Player 1s payoff to the actions of (Quiet Queit) equal 2+a2. a. Formulate a payoff matrix that models this situation in the case a=1. Is this game the Prisoners Dilemma? b. Find the range of values for a for which the resulting game is the Prisoners Dilemma. c. Find the range of values of a for which the game is not the Prisoners Dilemma and the Nash Equilibrium. Show less
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