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3 parts
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the...
3 part question Consider the Normal Form game below between Pepsi and Coca-Cola and then answer...
3 part question
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the questions that follow: Pepsi Don't Supply (D) 250,200 Supply(S) 300,0 Don't Supply (D) Coke Supply(S) 200,100 350,200 a. What is the Nash equilibrium/equilibria strategy of the game? O a. {SS} b.{D,S} OC {D,D) O d. {S,D} QUESTION 12 Consider the Normal Form game from question 10: If Coca-Cola was to utilize a maximin strategy, what strategy will it choose? O a. Don't supply...
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the questions that...
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the questions that follow: Pepsi Supply(S) Don't Supply (D) 250,200 Don't Supply (D) 300,0 Coke Supply(s) 200,100 350,200 a. What is the Nash equilibrium/equilibria strategy of the game? a. {S,S) b. {S,D) OC. {D,D} od {D,S}
#1. (30 points) Consider the following normal-form game. (a) (10 points) Find all pure strategy Nash...
#1. (30 points) Consider the following normal-form game. (a) (10 points) Find all pure strategy Nash equilibria. (b) (20 points) Find all mixed strategy Nash equilibria. EFG | A 0,0 3, 4, 1 B5,5 0,01,-1 C 2.0 1,0 2,6 D 1,0 1,4 6,3
Problem 2: Consider the following normal form game: | A | B | C D L...
Problem 2: Consider the following normal form game: | A | B | C D L 2 ,3 -1,3 0,0 4,3 M -1,0 3,0 / 0,10 2,0 R 1,1 | 2,1 3,1 3,1 Part a: What are the pure strategies that are strictly dominated in the above game? Part 6: What are the rationalizable strategies for each player? What are all the rationalizable strategy profiles? Part c: Find all of the Nash equilibria of the game above.
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...
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 normal form game: U D LR 7,7 4,8 8,4 5,5 a. Are there...
Consider the following normal form game: U D LR 7,7 4,8 8,4 5,5 a. Are there dominant actions for any of the players? b. Find all Nash equilibria of this game. c. Suppose we repeat this game 10 times, specify a subgame perfect equi- librium of this finitely repeated game. d. Suppose this game is repeated infinitely: Identify a subgame perfect equilibrium of this game which gives an average (normalized) dis- counted payoff of 7 to both players. Clearly identify...
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.
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and...
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and Adam's Orange Zip. Bernie can set a high, medium, or low price for the drink while Adam is only considering a High or Low price, and their profits are given by the following table: Adam's Orange Zip High Price Low Price High Price 650, 300 -400, 400 Bernie's Lemon Medium Price 900, 150 100, 100 Low Price 550,-200 200, 100 Fizz a. What is...
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and...
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and Adam's Orange Zip. Bernie can set a high, medium, or low price for the drink while Adam is only considering a High or Low price, and their profits are given by the following table: Adam's Orange Zip High Price Low Price High Price 650, 300 -400, 400 Bernie's Lemon Fizz Medium Price 900, 150 100, 100 Low Price 550, -200 200, 100 a. What...
3 part question
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the questions that follow: Pepsi Don't Supply (D) 250,200 Supply(S) 300,0 Don't Supply (D) Coke Supply(S) 200,100 350,200 a. What is the Nash equilibrium/equilibria strategy of the game? O a. {SS} b.{D,S} OC {D,D) O d. {S,D} QUESTION 12 Consider the Normal Form game from question 10: If Coca-Cola was to utilize a maximin strategy, what strategy will it choose? O a. Don't supply...
Consider the Normal Form game below between Pepsi and Coca-Cola and then answer the questions that follow: Pepsi Supply(S) Don't Supply (D) 250,200 Don't Supply (D) 300,0 Coke Supply(s) 200,100 350,200 a. What is the Nash equilibrium/equilibria strategy of the game? a. {S,S) b. {S,D) OC. {D,D} od {D,S}
#1. (30 points) Consider the following normal-form game. (a) (10 points) Find all pure strategy Nash equilibria. (b) (20 points) Find all mixed strategy Nash equilibria. EFG | A 0,0 3, 4, 1 B5,5 0,01,-1 C 2.0 1,0 2,6 D 1,0 1,4 6,3
Problem 2: Consider the following normal form game: | A | B | C D L 2 ,3 -1,3 0,0 4,3 M -1,0 3,0 / 0,10 2,0 R 1,1 | 2,1 3,1 3,1 Part a: What are the pure strategies that are strictly dominated in the above game? Part 6: What are the rationalizable strategies for each player? What are all the rationalizable strategy profiles? Part c: Find all of the Nash equilibria of the game above.
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...
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 normal form game: U D LR 7,7 4,8 8,4 5,5 a. Are there dominant actions for any of the players? b. Find all Nash equilibria of this game. c. Suppose we repeat this game 10 times, specify a subgame perfect equi- librium of this finitely repeated game. d. Suppose this game is repeated infinitely: Identify a subgame perfect equilibrium of this game which gives an average (normalized) dis- counted payoff of 7 to both players. Clearly identify...
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.
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and Adam's Orange Zip. Bernie can set a high, medium, or low price for the drink while Adam is only considering a High or Low price, and their profits are given by the following table: Adam's Orange Zip High Price Low Price High Price 650, 300 -400, 400 Bernie's Lemon Medium Price 900, 150 100, 100 Low Price 550,-200 200, 100 Fizz a. What is...
3. [Normal to Extensive Form Game) Consider the following pricing game between Bernie's Lemon Fizz and Adam's Orange Zip. Bernie can set a high, medium, or low price for the drink while Adam is only considering a High or Low price, and their profits are given by the following table: Adam's Orange Zip High Price Low Price High Price 650, 300 -400, 400 Bernie's Lemon Fizz Medium Price 900, 150 100, 100 Low Price 550, -200 200, 100 a. What...
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