11 Marks] QUESTION 15 Consider the following simultaneous move game, a variant of the Battle-of-the-Sexes game: Mouse Milk Cheese Milk 5, 2 Cat 2, 2 Cheese 0, 0 2, 5 Assume both players play mixed st...
Question 5 (25 points). Consider the following simultaneous-move game: Column LIMNIP Ủ11, 1 | 2, 2 | 3, 4 | 9.3 D12, 5 | 3. 311, 217, 1 Row (a) Find all pure-strategy Nash equilibria. (b) Suppose Row mixes between strategies U and D in the proportions p and (1-p). Graph the payoffs of Column's four strategies as functions of p. What is Column's best response to Row's p-mix? (c) Find the mixed-strategy Nash equilibrium. What are the players' expected...
Question 1 (15 polnts) Consider the following simultaneous-move game Player 2 ILIR T15. 2 | 2,0 B 3,30, 5 A. Find the pure-strategy Nash equilibrium of this game. Player M B. Can player 2 help himself by employing a simple unconditional strategie move? If so, what action will player 2 choose to commit to? What are the players' new payoffs? C. Answer the following question only if your were not able to find an unconditional strategic move. Can player 2...
Problem 1: Consider the following simultaneous move game with two players, denoted by 1 and 2: 1 2 T B L 1,0 0,2 M R 0,1 5,0 2,1 1,0 1. Is there a strategy for any of the players which a player would never choose? 2. If there is a strategy which a player never chooses (it is called, a dominated strategy), and this fact is known among the players, find the equilibria of the game. Hint: In a mixed...
4) (20 points) Consider the following two player simultaneous move game which is another version of the Battle of the Sexes game. Bob Opera Alice 4,1 Opera Football Football 0,0 1,4 0,0 Suppose Alice plays a p - mix in which she plays Opera with probability p and Football with probability (1 – p) and Bob plays a q- mix in which he plays Opera with probability q and Football with probability (1 – 9). a) Find the mixed strategy...