GAME THEORY
Just to be clear, 8,8,8 is
incorrect. Many people have been posting that as the answer.
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GAME THEORYJust to be clear, 8,8,8 is
incorrect. Many people have been posting that as the...
QUESTION 5 Player III PlayerII Player lI Player i A 11,1 444 A 3,3,0 3,1,7 B...
QUESTION 5 Player III PlayerII Player lI Player i A 11,1 444 A 3,3,0 3,1,7 B 118 31A Player I B 7,5,7 -1,6,3 Consider the stage game above and suppose it is repeated twice without discounting. Consider all possible SPNE in pure strategies for the twice repeated game. The highest payoff Player 1 can get in a SPNE is The highest payoff Player 2 can get in a SPNE is . Finally, the highest payoff Player 3 can get in...
10 p QUESTION 2 Player l A 6,6 -2,7 -2,-2 Player I B 742,2 1,- C...
10 p QUESTION 2 Player l A 6,6 -2,7 -2,-2 Player I B 742,2 1,- C 2,-2 1,1 1,1 game in which the stage game above is repeated twice and there is no discounting. The maximum payoff a player can achieve in a SPNE of the repeated game is (Please, enter a numerical value like:-1,0, 0.5, 3.5, 4, etc)
QUESTION 3 Player A 1,17,1 B 1,-1 4,5 Player I Consider the stage game above and...
QUESTION 3 Player A 1,17,1 B 1,-1 4,5 Player I Consider the stage game above and suppose it is repeated twice without discounting. There exist a SPNE in which the first period outcome is (B,D). To support this SPNE player 1 plays action B in the first period and action period, and plays action in the second period. Player 2 plays action D in the first in the second if the first period outcome was (B,D) and plays action otherwise
stion 4 10 points Save Answer Player II С 6,6 1,7 D 7,1 3,3 Player l...
stion 4 10 points Save Answer Player II С 6,6 1,7 D 7,1 3,3 Player l Consider a game in which Player 1 first selects between L and R. f Player 1 selects L, then players 1 and 2 play a prisoner's dlemma game represented in the strategic form above it Player 1 selects R then, Player 1 and 2 play the battie-of the-sexes game in which they simultaneously and independently choose between A and B. If they both choose...
QUESTION 6 Player II A 3,2 0,1 В 7,0 2,1 Player I Consider the stage game...
QUESTION 6 Player II A 3,2 0,1 В 7,0 2,1 Player I Consider the stage game above and suppose it is repeated infinitely many times. For (A,C) to be played every period as a SPNE using trigger strategies the discount factor needs to be more than or equal to (Please, enter a numerical value not in fractional form; i.e., instead of 1/2 enter 0.5)
Consider a game in which Player 1 first selects between L and R. If Player 1...
Consider a game in which Player 1 first selects between L and R. If Player 1 selects L, then players 1 and 2 play a prisoner’s dilemma game represented in the strategic form above. If Player 1 selects R then, Player 1 and 2 play the battle-of-the-sexes game in which they simultaneously and independently choose between A and B. If they both choose A, then the payoff vector is (4,4). If they both choose B, then the payoff vector is...
QUESTION 7 Player II A 3,40,7 В 5,0 1,2 Player I Consider the stage game above...
QUESTION 7 Player II A 3,40,7 В 5,0 1,2 Player I Consider the stage game above and suppose it is repeated infinitely many times. For (A,C) to be playe every period as a SPNE using trigger strategies for Player 1 not to deviate, and more than or equal to the discount factor needs to be more than or equal to for Player 2 not to deviate. Therefore, the discount rate must be larger than or equal to fractional form; ie.,...
4. Consider the following game that is played T times. First, players move simultaneously and independently....
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...
Brothers: Consider the following game that proceeds in two stages: In the first stage one brother...
Brothers: Consider the following game that proceeds in two stages: In the first stage one brother (player 2) has two $10 bills and can choose one of two options: he can give his younger brother (player 1) $20 or give him one of the $10 bills (giving nothing is inconceivable given the way they were raised). This money will then be used to buy snacks at the show they will see, and each $1 of snacks purchased yields one unit...
1. Consider the following normal form game: 112 L CR T 10 102 12 0 13...
1. Consider the following normal form game: 112 L CR T 10 102 12 0 13 M 12 25 5 0 0 B|13 010 011 a) (Level A) First suppose this game is played only once. What are the pure strategy Nash equilibria? (b) (Level B) Now suppose this game is played twice. Players observe the actions chosen in the first period prior to the second period. Each player's total payoff is the sum of his/her payoff in the two...
QUESTION 5 Player III PlayerII Player lI Player i A 11,1 444 A 3,3,0 3,1,7 B 118 31A Player I B 7,5,7 -1,6,3 Consider the stage game above and suppose it is repeated twice without discounting. Consider all possible SPNE in pure strategies for the twice repeated game. The highest payoff Player 1 can get in a SPNE is The highest payoff Player 2 can get in a SPNE is . Finally, the highest payoff Player 3 can get in...
10 p QUESTION 2 Player l A 6,6 -2,7 -2,-2 Player I B 742,2 1,- C 2,-2 1,1 1,1 game in which the stage game above is repeated twice and there is no discounting. The maximum payoff a player can achieve in a SPNE of the repeated game is (Please, enter a numerical value like:-1,0, 0.5, 3.5, 4, etc)
QUESTION 3 Player A 1,17,1 B 1,-1 4,5 Player I Consider the stage game above and suppose it is repeated twice without discounting. There exist a SPNE in which the first period outcome is (B,D). To support this SPNE player 1 plays action B in the first period and action period, and plays action in the second period. Player 2 plays action D in the first in the second if the first period outcome was (B,D) and plays action otherwise
stion 4 10 points Save Answer Player II С 6,6 1,7 D 7,1 3,3 Player l Consider a game in which Player 1 first selects between L and R. f Player 1 selects L, then players 1 and 2 play a prisoner's dlemma game represented in the strategic form above it Player 1 selects R then, Player 1 and 2 play the battie-of the-sexes game in which they simultaneously and independently choose between A and B. If they both choose...
QUESTION 6 Player II A 3,2 0,1 В 7,0 2,1 Player I Consider the stage game above and suppose it is repeated infinitely many times. For (A,C) to be played every period as a SPNE using trigger strategies the discount factor needs to be more than or equal to (Please, enter a numerical value not in fractional form; i.e., instead of 1/2 enter 0.5)
QUESTION 7 Player II A 3,40,7 В 5,0 1,2 Player I Consider the stage game above and suppose it is repeated infinitely many times. For (A,C) to be playe every period as a SPNE using trigger strategies for Player 1 not to deviate, and more than or equal to the discount factor needs to be more than or equal to for Player 2 not to deviate. Therefore, the discount rate must be larger than or equal to fractional form; ie.,...
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...
Brothers: Consider the following game that proceeds in two stages: In the first stage one brother (player 2) has two $10 bills and can choose one of two options: he can give his younger brother (player 1) $20 or give him one of the $10 bills (giving nothing is inconceivable given the way they were raised). This money will then be used to buy snacks at the show they will see, and each $1 of snacks purchased yields one unit...
1. Consider the following normal form game: 112 L CR T 10 102 12 0 13 M 12 25 5 0 0 B|13 010 011 a) (Level A) First suppose this game is played only once. What are the pure strategy Nash equilibria? (b) (Level B) Now suppose this game is played twice. Players observe the actions chosen in the first period prior to the second period. Each player's total payoff is the sum of his/her payoff in the two...
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