Homework Answers
Answer-Tacit collusion in an infinitely repeated game is easier to sustain when, The correct answer is option B, the interest rate is lower,because when the interest rate is lower than it is very easy to sustain.
Option A is an incorrect answer because when there are many players involved than tacil collusion in an indefinitely repeated game is not easier to sustain.
Option C is an incorrect answer because when the present value of cheating is higher than tacit collusion in an infinitely repeated game is not easier to sustain.
Option D is an incorrect answer because A and C both are incorrect.
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Tacit collusion in an infinitely repeated game is easier to sustain when There are many players...
Consider the stage game below, and suppose it is repeated infinitely many times. To sustain a...
Consider the stage game below, and suppose it is repeated
infinitely many times.
To sustain a SPNE in which players play (C,E) in every period by
means of a trigger strategy, the discount rate must be larger than
or equal to
a.
2/3.
b.
(C,E) cannot be part of a SPNE.
c.
1/7.
d.
1/3.
e.
3/7.
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D...
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D EF A 1,1 1,11,1 PlayerI B 1,8 7,51,1 c | 5,7 | 8,3 | 1,1 To sustain a SPNE in which players play (B,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to Ob. 1/3 ос. 37
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D...
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D EF A 1,1 1,1 1,1 Player I B 1,8 7,5 1,1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (C,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to C. 1/3 d. (CE) cannot be part of a SPNE.
Consider the stage game below, and suppose it is repeated infinitely many times. Player 2 DEF...
Consider the stage game below, and suppose it is repeated infinitely many times. Player 2 DEF A 1, 1,1 1,1 Player I B 1,8 7,5 1,1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (C,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to O a. 1/3 O b. 2/3 O d. (C,E)cannot be part of a SPNE
QUESTION 10 Consider the stage game below, and suppose it is repeated infinitely many times. Player...
QUESTION 10 Consider the stage game below, and suppose it is repeated infinitely many times. Player 2 D E F A 1,1 1,1 1,1 Player I B 1,8 7,5 1.1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (B.D in every period by means of a trigger strategy, the discount rate must be larger than or equal to o a. O b. 1/3 (B.E) cannot be part of a SPNE o d.23 Ce.3/7.
Game theory question (undergraduate economics) Consider the infinitely repeated game with the following stage game matrix:...
Game theory question (undergraduate economics)
Consider the infinitely repeated game with the following stage game matrix: C D C 3,2 0,1 D 7,0 2,1 Under what conditions is there a subgame perfect equilibrium in which the players alternate between (C,C) and (C,D), starting with (C,C) in the first period? Under what conditions is there a subgame perfect equilibrium in which the players alternate between (C,C) and (D,D), starting with (C,C) in the first period? (Use modified trigger strategies)
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: 112 C D C 2,...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: 112 C D C 2, 2 0, 3 D 3,0 1, 1 Let uj be the payoff to player i in period t. Player i (i-1,2) maximizes her average discounted sum of payoffs, given by ( where o is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player plays the following...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: C 2, 2 0, 3...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: C 2, 2 0, 3 D 3,0 1, Let uj be the payoff to player i in period t. Player i (i 1,2) maximizes her average discounted sum of payoffs, given by ( o0 (1-6 X6u where o is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player plays the following...
In a two-player, one-shot simultaneous-move game each player can choose strategy A or strategy B. If...
In a two-player, one-shot simultaneous-move game each player can choose strategy A or strategy B. If both players choose strategy A, each earns a payoff of $18. If both players choose strategy B, each earns a payoff of $28. If player 1 chooses strategy A and player 2 chooses strategy B, then player 1 earns $62 and player 2 earns $13. If player 1 chooses strategy B and player 2 chooses strategy A, then player 1 earns $13 and player...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely 112 C D C 2,...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely 112 C D C 2, 2 0, 3 D 3, 0|1, 1 Let uļ be the payoff to player i in period t. Player i (i = 1, 2) maximizes her. average discounted sum of payoffs, given by ( where δ is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player...
Consider the stage game below, and suppose it is repeated
infinitely many times.
To sustain a SPNE in which players play (C,E) in every period by
means of a trigger strategy, the discount rate must be larger than
or equal to
a.
2/3.
b.
(C,E) cannot be part of a SPNE.
c.
1/7.
d.
1/3.
e.
3/7.
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D EF A 1,1 1,11,1 PlayerI B 1,8 7,51,1 c | 5,7 | 8,3 | 1,1 To sustain a SPNE in which players play (B,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to Ob. 1/3 ос. 37
Consider the stage game below, and suppose it is repeated infinitely many times Player 2 D EF A 1,1 1,1 1,1 Player I B 1,8 7,5 1,1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (C,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to C. 1/3 d. (CE) cannot be part of a SPNE.
Consider the stage game below, and suppose it is repeated infinitely many times. Player 2 DEF A 1, 1,1 1,1 Player I B 1,8 7,5 1,1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (C,E) in every period by means of a trigger strategy, the discount rate must be larger than or equal to O a. 1/3 O b. 2/3 O d. (C,E)cannot be part of a SPNE
QUESTION 10 Consider the stage game below, and suppose it is repeated infinitely many times. Player 2 D E F A 1,1 1,1 1,1 Player I B 1,8 7,5 1.1 C 5,7 8,3 1,1 To sustain a SPNE in which players play (B.D in every period by means of a trigger strategy, the discount rate must be larger than or equal to o a. O b. 1/3 (B.E) cannot be part of a SPNE o d.23 Ce.3/7.
Game theory question (undergraduate economics)
Consider the infinitely repeated game with the following stage game matrix: C D C 3,2 0,1 D 7,0 2,1 Under what conditions is there a subgame perfect equilibrium in which the players alternate between (C,C) and (C,D), starting with (C,C) in the first period? Under what conditions is there a subgame perfect equilibrium in which the players alternate between (C,C) and (D,D), starting with (C,C) in the first period? (Use modified trigger strategies)
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: 112 C D C 2, 2 0, 3 D 3,0 1, 1 Let uj be the payoff to player i in period t. Player i (i-1,2) maximizes her average discounted sum of payoffs, given by ( where o is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player plays the following...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely: C 2, 2 0, 3 D 3,0 1, Let uj be the payoff to player i in period t. Player i (i 1,2) maximizes her average discounted sum of payoffs, given by ( o0 (1-6 X6u where o is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player plays the following...
3. (Level A) Suppose the following Prisoner's Dilemma is repeated infinitely 112 C D C 2, 2 0, 3 D 3, 0|1, 1 Let uļ be the payoff to player i in period t. Player i (i = 1, 2) maximizes her. average discounted sum of payoffs, given by ( where δ is the common discount factor of both players Suppose the players try to sustain (C, C) in each period by the Grim Trigger strategy. That is, each player...
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