Construct an extensive form game with two players, multiple NE, and at least one NE is...
Construct an extensive form game with two players, multiple NE, and at least one NE is not an SPE. Just create an example with any numbers or informations.
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Construct an extensive form game with two players, multiple NE,
and at least one NE is...
Give an example of an ((extensive form)) game with 2 players. In all steps each player...
Give an example of an ((extensive form)) game with 2 players. In all steps each player has two options. Player I decides in step 1 and step 3. Player II decides in step 2. Player 2 has perfect information. In step 3 player I has forgotten the decision in step 1 and has imperfect information in step 2.
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...
Froblem #5: Convert extensive-form to strategic-form, find Nash equilibria and subgame. perfect Nash equilibria (12...
Froblem #5: Convert extensive-form to strategic-form, find Nash equilibria and subgame. perfect Nash equilibria (12pts) Consider the following extensive-form game: Veto Y Don't Veto In this game, Players 1 and 2 are deciding on a course of action, which may be X, Y, or Z Player 2 is the one who actually makes the choice, but first Player may choose to veto Y, which is the option Player 1 prefers the least. a) List all the strategies available to Player...
3. The extensive form of a 2-person game is as follows: () (1019 (a) What are...
3. The extensive form of a 2-person game is as follows: () (1019 (a) What are the pure strategy sets for players I and II? (b) Derive the normal (strategie) form of the game. (c) Use backward induction to find the sub-game perfect Nash Equi libria of the game. There are 2 SPNEs.) (d) Is there any other Nash Equilibrium?
So far, we have two ways to write a game: extensive form and strategic form. One...
So far, we have two ways to write a game: extensive form and strategic form. One of these is more suited to sequential games, and one is more suited to simultaneous games. Explain why, with reference to a simple game that could be played sequentially or simultaneously.
3. The extensive form of a 2-person game is as follows: 1/ 2 020210 0 0-25-210...
3. The extensive form of a 2-person game is as follows: 1/ 2 020210 0 0-25-210 (a) What are the pure strategy sets for players I and II. (b) Derive the normal (strategic) form of the game? (c) Find the Nash Equilibrium(a) of the game (d) Is there any sub-game non-perfect equilibrium? Explain.
Consider the following game, called ‘Picking stones’. There are three players, A, B and C, who...
Consider the following game, called ‘Picking stones’. There are three players, A, B and C, who have four stones set in front of them. The rules of the game are as follows. A moves first and takes one or two stones. B moves next and takes one or two stones. Then, if there are any stones left, C moves and takes one or two stones. Finally, A picks up the last stone, if there is one left. Whoever picks up...
1. NIM game is a game with multiple piles of match sticks with the two players...
1. NIM game is a game with multiple piles of match sticks with the two players taking turns to remove 1 pile or part of 1 pile. The person getting the last stick wins. In the class I had shown how (1, 1) and (2, 2) are losing configurations (i.e. the person facing two piles of 2 and 2 sticks will lose). a) Prove that (3, 4) is a winning configuration. Show how the 1s player can win if she...
The diagram shows the extensive form version of a strategic game between the two nationally dominant...
The diagram shows the extensive form version of a strategic game
between the two nationally dominant coffee sellers, Corporate
Coffee and Jumbo Java, both of whom are considering opening coffee
shops in a new town. The payoffs represent, in thousands per month,
the profit (or loss) the firm will realize from its decision.
Assuming the two firms have perfect information about this game,
what can we conclude about the existence of a Nash equilibrium?
Select one:
A. The solution to...
QUESTION 8 Consider a game with two players, players and player 2. Player 1's strategies are...
QUESTION 8 Consider a game with two players, players and player 2. Player 1's strategies are up and down, and player 2's strategies are left and right. Suppose that player 1's payoff function is such that for any combination of the players chosen strategies, player 1 always receives a payoff equal to 0. Suppose further that player 2's payoff function is such that no two combinations of the players' chosen strategies ever give player 2 the same payoff Choose the...
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...
Froblem #5: Convert extensive-form to strategic-form, find Nash equilibria and subgame. perfect Nash equilibria (12pts) Consider the following extensive-form game: Veto Y Don't Veto In this game, Players 1 and 2 are deciding on a course of action, which may be X, Y, or Z Player 2 is the one who actually makes the choice, but first Player may choose to veto Y, which is the option Player 1 prefers the least. a) List all the strategies available to Player...
3. The extensive form of a 2-person game is as follows: () (1019 (a) What are the pure strategy sets for players I and II? (b) Derive the normal (strategie) form of the game. (c) Use backward induction to find the sub-game perfect Nash Equi libria of the game. There are 2 SPNEs.) (d) Is there any other Nash Equilibrium?
3. The extensive form of a 2-person game is as follows: 1/ 2 020210 0 0-25-210 (a) What are the pure strategy sets for players I and II. (b) Derive the normal (strategic) form of the game? (c) Find the Nash Equilibrium(a) of the game (d) Is there any sub-game non-perfect equilibrium? Explain.
1. NIM game is a game with multiple piles of match sticks with the two players taking turns to remove 1 pile or part of 1 pile. The person getting the last stick wins. In the class I had shown how (1, 1) and (2, 2) are losing configurations (i.e. the person facing two piles of 2 and 2 sticks will lose). a) Prove that (3, 4) is a winning configuration. Show how the 1s player can win if she...
The diagram shows the extensive form version of a strategic game
between the two nationally dominant coffee sellers, Corporate
Coffee and Jumbo Java, both of whom are considering opening coffee
shops in a new town. The payoffs represent, in thousands per month,
the profit (or loss) the firm will realize from its decision.
Assuming the two firms have perfect information about this game,
what can we conclude about the existence of a Nash equilibrium?
Select one:
A. The solution to...
QUESTION 8 Consider a game with two players, players and player 2. Player 1's strategies are up and down, and player 2's strategies are left and right. Suppose that player 1's payoff function is such that for any combination of the players chosen strategies, player 1 always receives a payoff equal to 0. Suppose further that player 2's payoff function is such that no two combinations of the players' chosen strategies ever give player 2 the same payoff Choose the...
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