Homework Answers
SOLUTION :
The pay off matrix shows Player A having two moves (A1 and A2) and Player B having two moves (B1 and B2) .In each cell player A's payoff is on the left and player B's is on the right.What is the dominant strategy for each player assuming that they play/choose simultaneously.
HENCE OPTION "D","Dominant strategies are A2,B1 " is correct information.
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Player B Move B Mone B -1.-2 1.-3 2,3 2,2 The payoff matrix shows Player A...
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...
5. Consider the payoff matrix below, which shows two players each with three strategies. Player 2...
5. Consider the payoff matrix below, which shows two players each with three strategies. Player 2 A2 B2 C2 A1 20, 22 24, 20 25, 24 B1 23,26 21,24 22, 23 C1 19, 25 23,17 26,26 Player1 STUDENT NUMBER: SECTION: Page 11 of 12 pages Find all Nash equilibria in pure strategies for this simultaneous choice, one play game. Explain your reasoning. a) b) Draw the game in extended form and solve assuming sequential choice, with player 2 choosing first.
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...
The payoff matrix shows Player A and Player B with three output choices: Q = 50,...
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,...
The following matrix gives the payoff for Player 1 and Player 2 with R and L...
The following matrix gives the payoff for Player 1 and Player 2 with R and L strategies. Assume that they determine their strategies simultaneously and independently. Player 2 R L R (5, 4) (-1, -1) Player 1 L (-1, -1) (2, 2) (a) Does Player 1 have a dominant strategy? Why or why not? What is its dominant strategy, if existing? (b) Does Player 2 have a dominant strategy? Why or why not? What is its dominant strategy, if existing?...
3. Consider the game illustrated by the payoff matrix below: Jeffrey B1 B2 -4,- 4 1...
3. Consider the game illustrated by the payoff matrix below: Jeffrey B1 B2 -4,- 4 1 ,-6 Curtis A2 -6,1 0,0 b. Suppose that the game is repeated 10 times and assume a discount factor 8 (where 0< 8 < 1). i. [2] What does each player choose to do in the 10th round of play? ii. [2] Can Curtis and Jeffrey credibly commit to playing (A2, B2) in any of the rounds that they play? c. Suppose now that...
The payoff matrix for a game is 3 -5 2 (a) Find the expected payoff to the row player if the row ...
The payoff matrix for a game is 3 -5 2 (a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column C player uses the minimax pure strategy (b Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the bme while C uses the miin ax strategy 50% of the...
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 Prisoner's Dilemma payoff matrix: Player 2 Player 1 Tell Silent Tell 1,1 3,0
Consider the Prisoner's Dilemma payoff matrix: Player 2 Player 1 Tell Silent Tell 1,1 3,0 Silent 0,3 2,2 Suppose that this is a sequential game in which Player 1 moves first and Player 2 follows, after seeing Player 1's action. Draw the game tree and solve for all pure strategy SPNE.
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...
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...
5. Consider the payoff matrix below, which shows two players each with three strategies. Player 2 A2 B2 C2 A1 20, 22 24, 20 25, 24 B1 23,26 21,24 22, 23 C1 19, 25 23,17 26,26 Player1 STUDENT NUMBER: SECTION: Page 11 of 12 pages Find all Nash equilibria in pure strategies for this simultaneous choice, one play game. Explain your reasoning. a) b) Draw the game in extended form and solve assuming sequential choice, with player 2 choosing first.
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,...
3. Consider the game illustrated by the payoff matrix below: Jeffrey B1 B2 -4,- 4 1 ,-6 Curtis A2 -6,1 0,0 b. Suppose that the game is repeated 10 times and assume a discount factor 8 (where 0< 8 < 1). i. [2] What does each player choose to do in the 10th round of play? ii. [2] Can Curtis and Jeffrey credibly commit to playing (A2, B2) in any of the rounds that they play? c. Suppose now that...
The payoff matrix for a game is 3 -5 2 (a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column C player uses the minimax pure strategy (b Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the bme while C uses the miin ax strategy 50% of the...
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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