2. Consider the following sequential game. Player A can choose between two tasks, TI and T2....
2. Consider the following sequential game. Player A can choose between two tasks, Tl and T2. After having observed the choice of A, Player B chooses between two projects Pl or P2. The payoffs are as follows: If A chooses TI and B chooses P1 the payoffs are (12, 8), where the first payoff is for A and the second for B; if A chooses T1 and B opts for P2 the payoffs are (20, 7); if A chooses T2...
Consider a game being played between player 1 and player 2. Player 1 can choose T or B. Player 2 can take actions Lor R. These choices are made simultaneously. The payoffs are as follows. If 1 plays T and 2 plays L, the payoffs are (0,0) for Player 1 and 2, respectively. If 1 opts of B and 2 L, the payoffs are (5,7). If 1 plays T and 2 R, the payoffs are (6,2). Finally, both players get...
6. Consider a sequential game with 3 players. Player 1 can choose A or B. Player 2 can choose C, D, E, or F (depending on what player 1 chooses). Player 3 can choose G, H, I, J, K, L, M, or N (depending on what player 1 and 2 choose). Player 1 (P1) goes first, player 2 (P2) goes second, and player 3 (P3) goes third. Payoffs are written as the payoffs for P1, P2, and the for P3....
Consider a game being played between player 1 and player 2. Player 1 can choose T or B. Player 2 can take actions Lor R. These choices are made simultaneously. The payoffs are as follows. If 1 plays T and 2 plays L, the payoffs are (0, 0) for Player 1 and 2, respectively. If 1 opts of B and 2 L, the payoffs are (5,7). If 1 plays T and 2 R, the payoffs are (6,2). Finally, both players...
Player 1 can choose to either play against Player 2 or Player 3. If she chooses to play against Player 2, Player 2 gets to choose between moves X and and Y, and Player 1 picks between moves C and D. If Player 1 chooses to play against Player 3, Player 3 gets a choice between moves S and T, and Player 1 gets to choose between moves E and F. The payoffs for each combination of moves are as...
3. (15 points) Consider a sequential game with two players with three-moves, in which player 1 moves twice: Player 1 chooses Enter or Erit, and if she chooses Exit the game ends with payoffs of 2 to player 2 and 0 to player 1. • Player 2 observes player l's choice and will have a choice between Fight or Help if player 1 chose Enter. Choosing Help ends the game with payoffs of 1 to both players. • Finally, player...
Consider a game in which Player 1 first selects between L and R. If Player 1 selects L, then players 1 and 2 play a prisoner’s dilemma game represented in the strategic form above. If Player 1 selects R then, Player 1 and 2 play the battle-of-the-sexes game in which they simultaneously and independently choose between A and B. If they both choose A, then the payoff vector is (4,4). If they both choose B, then the payoff vector is...
1 Consider the following normal-form game. P2 L CR P M (a) Does Pl (player 1) have any dominated strategies? (b) Does P2 (player 2) have any dominated strategies? (c) Suppose l2 beleves that Pl is rational, should P2 believe P1 will ever play B? (d) Suppose player P2 rales out the possibility that Pl plays B, is there a dominated ECON 306 Page 2 of 12 2018 strategy for player P2? (e) Can yoa find any more eliminated strategies...
Q3 Three-Player Game Consider a 3-player matrix game. The correct interpretation is as follows: the row indicates which strategy was chosen by player I; the column indicates which strategy was chosen by player II. If player III chooses strategy X, then the three players' payoffs are given by the first matrix; if player III chooses strategy Y , then the three players' payoffs are given by the second matrix. II II LR 4, 7, 5 8, 1, 3 1, 1,8...
Elina has to choose between two projects, P1 and P2. If Elina chooses P1 the game is over and the payoffs are 4 to Elina and 13 to Bonnie. If Elina choose P2, Bonnie observes Elina's choice and then gets to choose between projects P3 and P4. If Elina chooses P2 and Bonnie chooses P3 the payoffs are 2 to Elina and 8 to Bonnie. If Elina chooses P2 and Bonnie chooses P4 the payoffs are 5 and 10 to...