Ans.- 25%
(Ch. 30) [Same Info] Consider the following payoff matrix. Player B Left Right Top 1,0 2,4...
Again, consider the following payoff matrix: Player A Player B Left Right Up 1,1 1,2 Down 2,1 2,2 In regards to Nash equilibium, we can say that: A. there are two Nash equilibra; Down/Left and Up/Right B. Bottom/Right is an unstable yet social optimum, therefore a Nash equilibrium C. Bottom/Right is the only Nash equlibrium D. there are zero Nash equilibria
Again, consider the following payoff matrix: Player A Player B Left Right Up 1,1 1,2 Down 2,1 2,2 In regards to Nash equilibium, we can say that: A. there are two Nash equilibra; Down/Left and Up/Right B. Bottom/Right is an unstable yet social optimum, therefore a Nash equilibrium C. Bottom/Right is the only Nash equlibrium D. there are zero Nash equilibria
30 units. 5. Two players are playing a game. There are two options for player 1. Top or Bottom, and two options for player 2, Left or Right. The payoff matrix is as below. What is the pure Nash equilibrium in this case (Top, Left) b. (Top, Right) (Bottom, Top) a. c. d. (Bottom, Right) No pure Nash equilibrium. e. Left Right Top 5,5 0,4 Bottom 4,0 -1,-1
2. consider the following simultaneous move game. Player B LEFT RIGHT Player A UP 4,1 1,4 DOWN 2,3 3,2 a. If there is a Nash equilibrium in pure strategies, what is it and what are the payoffs? b. If there is a Nash equilibrium in mixed strategies, what is it and what are the expected payoffs? 3. Continue with the previous game but suppose this was a sequential game where Player A got to go first. a. Diagram the game...
The payoff matrix shows Player A and Player B with three output choices: Q = 50, Q = 100, or Q = 150. In each cell, Player A's payoff is on the left and Player B's payoff is on the right. In this game, which of the following is true? Player B Player A 0-50 0-100 150 - 50 37,37 40.30 37,20 = 100 = 150 30.40 20.37 32. 32 15.25 25, 15 0.0 o Select one: a. In equilibrium,...
8. Consider the two-player game described by the payoff matrix below. Player B L R Player A D 0,0 4,4 (a) Find all pure-strategy Nash equilibria for this game. (b) This game also has a mixed-strategy Nash equilibrium; find the probabilities the players use in this equilibrium, together with an explanation for your answer (c) Keeping in mind Schelling's focal point idea from Chapter 6, what equilibrium do you think is the best prediction of how the game will be...
2. Consider the following simultaneous move game: Column Left Right Top 1,1 7,3 Row Bottom 3,5 11,0 (a) Find all pure-strategy Nash equilibria (b) Now assume that the game is made sequential with Row moving first. Illustrate this new game using a game tree and find the rollback equilibrium (c) List the strategies of the two players in this sequential-move game and give the normal-form representation of the game (the payoff matrix) (d) Use the payoff matrix to find the...
NEED WITHIN THE HOUR! Suppose that two players are playing the following game. Player A can choose either Top or Bottom, and Player B can choose either Left or Right. The payoffs are given in the following table where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B. Does Player A have a dominant strategy? If so, what is it? Group of answer choices Top is...
Consider the payoff matrix at right Firm B OA. The pair of strategies L-L is the only Nash equilibrium OB. The pairs of strategies - Hand L-L are the only Nash equilibria OC. The pair of strategies - His the only Nash equilibrium OD. The pairs of strategies L-Land L- Hare the only Nash equilibri OE. The pairs of strategies - Hand H-L are the only Nash equilibria H H FirmA Suppose two firms, Alstom from France, and Bombardier from...
Suppose that two players are playing the following game. Player 1 can choose either top or bottom, and Player 2 can choose either left of right. The payoffs are given in the following table Player 2 Left Right top 9,4 2,3 Player 1 Bottom 1,0 3,1 where the number on the left is the payoff to Player 1 and the number on the right is the payoff to player 2. 1) Determine the nash equilibrium of the game. 2) If...