QUESTION 4 Player II DE F 5,3 3,5 8,5 1,2 0,2 9,3 6,3 2,4 8,9 A B C Player ' Consider the strategic form game above. In this game, the following strategy profiles are inefficient (Please, select all that apply) a. (B,E) b. (CD) C. (CE) d. (A,F) €. (B,D) Of. (B,F) 9. (A,D)
Player II A 5,3 3,5 8,5 Player C 6,3 24 8,9 Consider the strategic form game above. In this game, the following strategy profiles are inefficient (Please, select all that apply) b. (A,F C (C,E) d. (B,E) e (B,D) f. (A,D) . (B,F
Player II D E F A 2,6 0A 4A В 3,3 0,0 1,5 С 1,1 3,5 2,3 Player Consider the game above. Suppose Player 1 conjectures that Player 2 plays D with probability 1/4, E with probability 1/8, and F with probability 5/8. Player 1's best response to her conjecture about Player 2's strategy is to play a. A b. B OC.C . Another mixed strategy.
Player lI C D Player A 6,3 2,6 В 4,3 8,1 Suppose that in the game above Player 2 plays strategy C with probability q:03. The value for ET71(A, q) is: a. 8.3 b. 3.2 C.3.9 d. 4.6
Player Il Player lI Player lI A 2,3,1 3,1,0 В 3,2,11,32 Player I A 1,3,3 -1,3,2 Player l В 3,1,0 0,0,4 The game above is a simultaneous three player game between players 1, 2, and 3. Player 1 chooses between A and B, Player 2 between C and D and Player 3 between E and F. In the game above, the strategy profile in which Player 1 plays and Player 3 plays Player 2 plays is a Nash Equilibrium profile.
PlayerI C D E A 0,0 0,2 2,1 В 1,2 1,1 0,0 Player B Consider the game in strategic form above. If player 1 plays A and player 2 plays E, Player 1's payoff is a. Impossible to determine. b. 2 C. d. 0)
Player lI C D E A 0,0 0,2 2,1 В 1,2 1,1 0,0 Player B Consider the strategic form game above and select all that apply. Strategy A is not dominant for Player 1. Strategy B is weakly dominant for player I. Strategy E is dominated by strategies C and D for player 2. Strategy E is never a best response.
Player II A x5 0,4 4,4 В 3,3 0,0 1,5 С 1,1 3,5 2,3 Player Consider the game above. Suppose Player 1 conjectures that Player 2 plays D with probability 1/4, E with probability 1/8, and F with probability 5/8. The value of X that makes Player 1 randomize evenly between strategies A and C (i.e., play p=(12, 0, 1/2)) is [x]. Please, do not use fractional forms; if your answer is -1/2 use -0.5 instead
3. Consider the following two-player game in strategic form LM R A 2,2 2,2 2,2 В 3,3 0,2 0,0 С 0,0 3,2 0,3 This game will demonstrate several methods for ruling out possible mixed- strategy equilibria (a) What are the pure strategy equilibria? (b) Show that there does not exist an equilibrium in which Player 1 (the row player) assigns strictly positive probability to A, to B, and to C. (c) Show that there does not exist an equilibrium in...