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Please help me solve (e), dont need to do abcd, thank
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3. Consider the following...
Consider the following extensive-form game with two players, 1 and 2. a). Find the pure-strategy Nash...
Consider the following extensive-form game with two players, 1
and 2.
a). Find the pure-strategy Nash equilibria of the game. [8
Marks]
b). Find the pure-strategy subgame-perfect equilibria of the
game. [6 Marks]
c). Derive the mixed strategy Nash equilibrium of the subgame.
If players play this mixed Nash equilibrium in the subgame, would 1
player In or Out at the initial mode? [6 Marks]
[Hint: Write down the normal-form of the subgame and derive the
mixed Nash equilibrium of...
2. Suppos e there are two firms in an oligopoly, Firm A both firms charge a...
2. Suppos e there are two firms in an oligopoly, Firm A both firms charge a low price, each earns and Firm B. If $2 million in profit. If both firms charge a high price, each earns $3 million in profit. If one firm charges a high price and one charges a low price, customers flock to the firm with the low price, and that firm earns $4 million in profit while the firm with the high price earns $1...
Declining Industry: Consider two competing firms in a declining industry that cannot support both firms profitably....
Declining Industry: Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible choices, as it must decide whether or not to exit the industry immediately, at the end of this quarter, or at the end of the next quarter. If a firm chooses to exit then its payoff is 0 from that point onward. Each quarter that both firms operate yields each a loss equal to -1, and each quarter that...
Problem 5. (20 points) There are two competing firms. Each firm decides when to exit the...
Problem 5. (20 points) There are two competing firms. Each firm decides when to exit the market: (i) immediately, (ii) after 6 months, or (iii) after 1 year. If a firm decides to exit the market, it does not get any payoff from that point on (that is, its utility stays the same). After every 6 months firms gain or lose utilities as follow: if both firms are still in the market, they both lose -1 and if only one...
1. Consider the following extensive game: F G 2,1 3,1 0,2 2,3 (i) List all of...
1. Consider the following extensive game: F G 2,1 3,1 0,2 2,3 (i) List all of player 2's strategies. (2 points) (ii) Construct a payoff matrix and identify all Nash equilibria to the game. (2 points) (iii) Use backwards induction to find all subgame perfect equilibria of the game. (2 points)
Problem VI: Consider the following dynamic game: An entrant chooses whether to enter the market or...
Problem VI: Consider the following dynamic game: An entrant chooses whether to enter the market or stay out. If he chooses to stay out he will get $0, while the incumbent gets $20. If he enters the market, the entrant and the incumbent play the following simultaneous pricing game: they both choose whether to price high or low. If they both price low, they each get $5. If they both price high, they each get $10. If one prices low...
Game: Extensive Form. Suppose player 1 chooses G or H, and player 2 observes this choice....
Game: Extensive Form. Suppose player 1 chooses G or H, and player 2 observes this choice. If player 1 chooses H, then player 2 must choose A or B. Player 1 does not get to observe this choice by player 2, and must then choose X or Y. If A and X are played, the payoff for player 1 is 1 and for player 2 it's 5. If A and Y are played, the payoff for player 1 is 6...
Consider a game between an employer (E) and a worker (W). The worker can choose to...
Consider a game between an employer (E) and a worker (W). The worker can choose to work hard (H) or slack (S); the employer can dock the worker's pay (D) or not (N). The worker gets enjoyment worth a 1 from slacking, but hurt worth − 2 from docked pay. Thus, a worker who works hard and whose pay is not docked gets a 0; one who slacks and whose pay is docked gets 1 − 2 = −1; and...
Please help for the answer :) 62 6. Consider the market for sneakers with two firns,...
Please help for the answer :)
62 6. Consider the market for sneakers with two firns, Like and Fuma. Both firms have to simultaneously decide between two strategies: Cooperate or Cheat If both firms choose Cooperate, they share the monopoly profit with each of them making $80m If one firm chooses to Cheat it makes a profit of $160m, while the other firm which chooses to Cooperate incurring a loss of $40m If both firms Cheat, they both make zero...
Consider the following simultaneous game: Player 2 L R Player 1 U 30,20 -10-10 D -10-10...
Consider the following simultaneous game: Player 2 L R Player 1 U 30,20 -10-10 D -10-10 20.30 Please indicate whether each of the following statements is true or false. Player 1 has a dominant strategy. This game has two Nash equilibria in pure strategies. Player 1's payoff in each of the Nash equilibria is 30.
Consider the following extensive-form game with two players, 1
and 2.
a). Find the pure-strategy Nash equilibria of the game. [8
Marks]
b). Find the pure-strategy subgame-perfect equilibria of the
game. [6 Marks]
c). Derive the mixed strategy Nash equilibrium of the subgame.
If players play this mixed Nash equilibrium in the subgame, would 1
player In or Out at the initial mode? [6 Marks]
[Hint: Write down the normal-form of the subgame and derive the
mixed Nash equilibrium of...
2. Suppos e there are two firms in an oligopoly, Firm A both firms charge a low price, each earns and Firm B. If $2 million in profit. If both firms charge a high price, each earns $3 million in profit. If one firm charges a high price and one charges a low price, customers flock to the firm with the low price, and that firm earns $4 million in profit while the firm with the high price earns $1...
Declining Industry: Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible choices, as it must decide whether or not to exit the industry immediately, at the end of this quarter, or at the end of the next quarter. If a firm chooses to exit then its payoff is 0 from that point onward. Each quarter that both firms operate yields each a loss equal to -1, and each quarter that...
Problem 5. (20 points) There are two competing firms. Each firm decides when to exit the market: (i) immediately, (ii) after 6 months, or (iii) after 1 year. If a firm decides to exit the market, it does not get any payoff from that point on (that is, its utility stays the same). After every 6 months firms gain or lose utilities as follow: if both firms are still in the market, they both lose -1 and if only one...
1. Consider the following extensive game: F G 2,1 3,1 0,2 2,3 (i) List all of player 2's strategies. (2 points) (ii) Construct a payoff matrix and identify all Nash equilibria to the game. (2 points) (iii) Use backwards induction to find all subgame perfect equilibria of the game. (2 points)
Please help for the answer :)
62 6. Consider the market for sneakers with two firns, Like and Fuma. Both firms have to simultaneously decide between two strategies: Cooperate or Cheat If both firms choose Cooperate, they share the monopoly profit with each of them making $80m If one firm chooses to Cheat it makes a profit of $160m, while the other firm which chooses to Cooperate incurring a loss of $40m If both firms Cheat, they both make zero...
Consider the following simultaneous game: Player 2 L R Player 1 U 30,20 -10-10 D -10-10 20.30 Please indicate whether each of the following statements is true or false. Player 1 has a dominant strategy. This game has two Nash equilibria in pure strategies. Player 1's payoff in each of the Nash equilibria is 30.
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