Homework Answers
Correct ans is option 'B'
reason ; player B never lost the match using this strategy
opyion A : player A has won 2 matches using either of A2 or A3 strategy hence none is dominant strategy
option C : player A has lost one match using this strategy hence this is nat an dominant strategy
ontion D : B3 strategy of player B is dominant over A3 strategy of player A
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consider the following game in normal form:
Consider the following game in normal form: Player B...
Q.2 Consider the following normal-form game: Player 2 Player 1 3,2 1,1 -1,3 R. 0,0 Q.2.a...
Q.2 Consider the following normal-form game: Player 2 Player 1 3,2 1,1 -1,3 R. 0,0 Q.2.a Identify the pure-strategy Nash equilibria. Q.2.b Identify the mixed-strategy Nash equilibria Q.2.c Calculate each player's expected equilibrium payoff.
3. Consider the following game in normal form. Player 1 is the "row" player with strate-...
3. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, z. The game is presented in the following matrix: W Z X y a 3,3 2,1 0,2 2,1 b 1,1 1,2 1,0 1,4 0,0 1,0 3,2 1,1 d 0,0 0,5 0,2 3,1 с Find all the Nash equilibria in the game in pure strategies.
Problem 1. Consider the following extensive form game. 2 > 2,3 4,1 3,2 1.2 (a) By...
Problem 1. Consider the following extensive form game. 2 > 2,3 4,1 3,2 1.2 (a) By converting the game into normal form game (by finding the corre- sponding bimatrix game), find all Nash equilibrium in pure strategies. (b) Does player 2 have a strictly dominated strategy?
Player I and Player 2 compete in the simultaneous game illustrated by the normal form game...
Player I and Player 2 compete in the simultaneous game illustrated by the normal form game below Playoffs listed (Player 1, Player 2). Player 2 Middle Right High Medium OW Player I 8. 2 2.8 3.6 16, 7 What strategy is Player 1 playing in this game's equilibrium? a. High b. Mediunm c. Low What strategy is Player 2 playing in this game's equilibrium? a. Left b. Middle c. Right True or False: There exists a non-equilibrium intersection of strategies...
Player B Move B Move B2 4,2 1,1 2,1 0,0 Move A1 Move A2 Player A...
Player B Move B Move B2 4,2 1,1 2,1 0,0 Move A1 Move A2 Player A The payoff matrix shows Player A having two moves (A, and A2) and Player B having two moves (B, and B2). In each cell, Player A's payoff is on the left and Player B's payoff is on the right. What is the dominant strategy for each player assuming that they play/choose simultaneously. Select one: a. Dominant strategies are A, B1. O b. Dominant strategies...
s Use the following one-shot, normal-form game to answer the questions below Player 2 Strategy Player...
s Use the following one-shot, normal-form game to answer the questions below Player 2 Strategy Player 1 A 100, 100 150,200 200 200, 75 300, 200 125, 150 100, 225 200, 300 225, 195 150, 250 c Find each player's dominant strategy, if it exists.(4 points) d. Find each player's secure (maximin) strategy. (4 points) Find the Nash equilibrium, if there is one, and explain why it is the Nash equilibrium. If there is not a Nash equilibrium, explain why....
Consider the following two player game. The players’ strategy spaces are SA = {a1, a2, a3}...
Consider the following two player game. The players’ strategy
spaces are SA = {a1, a2, a3} and SB = {b1, b2, b3, b4}.
(d) Derive all the rationalizable strategy profiles.
(e) Derive the players’ best reply correspondences.
(f) Compute all the Nash equilibria of the game
A\В by 2, 2 3, 1 8,0 3, 6 а1 3, 1 0, 6 1, 4 1, 0 а2 4, 2 1, 1 2, 2 4, 4 аз
A\В by 2, 2 3, 1...
Choose a,b,c,d 12. In the game above, who has dominant strategy? A) Player A has a...
Choose a,b,c,d
12. In the game above, who has dominant strategy? A) Player A has a dominant strategy C) B) Player B has a dominant strategy Both players have dominant strategies. D) Neither player has a dominant strategy 13. Which one is the Nash equilibrium? A) firm A competition, firm B competition. C) firm A collusion, firm B competition. B) firm A competition, firm B collusion. D) firm A collusion, firm B collusion. In the following game, all payoffs are...
Find all pure strategy Nash Equilibria in the following games a.) Player 2 b1 b2...
Find all pure strategy Nash Equilibria in the following games a.) Player 2 b1 b2 b3 a1 1,3 2,2 1,2 a2 2,3 2,3 2,1 a3 1,1 1,2 3,2 a4 1,2 3,1 2,3 Player 1 b.) Player 2 A B C D A 1,3 3,1 0,2 1,1 B 1,2 1,2 2,3 1,1 C 3,2 2,1 1,3 0,3 D 2,0 3,0 1,1 2,2 Player 1 c.) Player 2 S B S 3,2 1,1 B 0,0 2,3
Consider the competitive, static, one-time game depicted in the following figure. If larger payoffs are preferred,...
Consider the competitive, static, one-time game depicted in the following figure. If larger payoffs are preferred, does either player have a dominant strategy? If B believes that A will move A1, how should B move? If B believes that A will move A2, how should B move? What is the Nash equilibrium strategy profile if this game is played just once? What is the strategy profile for this game if both players adopt a secure strategy? What strategy profile results...
Q.2 Consider the following normal-form game: Player 2 Player 1 3,2 1,1 -1,3 R. 0,0 Q.2.a Identify the pure-strategy Nash equilibria. Q.2.b Identify the mixed-strategy Nash equilibria Q.2.c Calculate each player's expected equilibrium payoff.
3. Consider the following game in normal form. Player 1 is the "row" player with strate- gies a, b, c, d and Player 2 is the "column" player with strategies w, x, y, z. The game is presented in the following matrix: W Z X y a 3,3 2,1 0,2 2,1 b 1,1 1,2 1,0 1,4 0,0 1,0 3,2 1,1 d 0,0 0,5 0,2 3,1 с Find all the Nash equilibria in the game in pure strategies.
Problem 1. Consider the following extensive form game. 2 > 2,3 4,1 3,2 1.2 (a) By converting the game into normal form game (by finding the corre- sponding bimatrix game), find all Nash equilibrium in pure strategies. (b) Does player 2 have a strictly dominated strategy?
Player I and Player 2 compete in the simultaneous game illustrated by the normal form game below Playoffs listed (Player 1, Player 2). Player 2 Middle Right High Medium OW Player I 8. 2 2.8 3.6 16, 7 What strategy is Player 1 playing in this game's equilibrium? a. High b. Mediunm c. Low What strategy is Player 2 playing in this game's equilibrium? a. Left b. Middle c. Right True or False: There exists a non-equilibrium intersection of strategies...
Player B Move B Move B2 4,2 1,1 2,1 0,0 Move A1 Move A2 Player A The payoff matrix shows Player A having two moves (A, and A2) and Player B having two moves (B, and B2). In each cell, Player A's payoff is on the left and Player B's payoff is on the right. What is the dominant strategy for each player assuming that they play/choose simultaneously. Select one: a. Dominant strategies are A, B1. O b. Dominant strategies...
s Use the following one-shot, normal-form game to answer the questions below Player 2 Strategy Player 1 A 100, 100 150,200 200 200, 75 300, 200 125, 150 100, 225 200, 300 225, 195 150, 250 c Find each player's dominant strategy, if it exists.(4 points) d. Find each player's secure (maximin) strategy. (4 points) Find the Nash equilibrium, if there is one, and explain why it is the Nash equilibrium. If there is not a Nash equilibrium, explain why....
Consider the following two player game. The players’ strategy
spaces are SA = {a1, a2, a3} and SB = {b1, b2, b3, b4}.
(d) Derive all the rationalizable strategy profiles.
(e) Derive the players’ best reply correspondences.
(f) Compute all the Nash equilibria of the game
A\В by 2, 2 3, 1 8,0 3, 6 а1 3, 1 0, 6 1, 4 1, 0 а2 4, 2 1, 1 2, 2 4, 4 аз
A\В by 2, 2 3, 1...
Choose a,b,c,d
12. In the game above, who has dominant strategy? A) Player A has a dominant strategy C) B) Player B has a dominant strategy Both players have dominant strategies. D) Neither player has a dominant strategy 13. Which one is the Nash equilibrium? A) firm A competition, firm B competition. C) firm A collusion, firm B competition. B) firm A competition, firm B collusion. D) firm A collusion, firm B collusion. In the following game, all payoffs are...
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