Question

In: Economics

Compute the Nash equilibria of the following location game. There are two people who simultaneously select...

Compute the Nash equilibria of the following location game. There are two

people who simultaneously select numbers between zero and one. Suppose

player 1 chooses s1 and player 2 chooses s2 . If si < sj , then player i gets a

payoff of (si + sj )>2 and player j obtains 1 − (si + sj )>2, for i = 1, 2. If

s1 = s2 , then both players get a payoff of 1>2.

Solutions

Expert Solution


Related Solutions

Find the total number of Nash equilibria of the “divide a dollar” game.
Find the total number of Nash equilibria of the “divide a dollar” game.
Consider an extensive form game with imperfect information. Compare the set of Nash equilibria, the set...
Consider an extensive form game with imperfect information. Compare the set of Nash equilibria, the set of subgame perfect equilibria and the set of perfect Bayesian equilibrium strategies of this game. Is there an inclusion relationship among these sets – which set is the largest, which one is the smallest? Explain your answer.
Find all Nash equilibria in the following three simultaneous-move games: Game 1 : Column Left Center...
Find all Nash equilibria in the following three simultaneous-move games: Game 1 : Column Left Center Right Up 3,1 4,2 3,3 High 5,7 1,3 2,4 Low 6,1 2,5 3,4 Down 1,1 4,6 5,2 Game 2: Left Right Up 2,4 7,7 Down 3,12 5,8 Game 3: Left Right Up 2,4 3,3 Down . 6,0 1,5
Solve the following games: No explanations are necessary. Just the solutions. a) Find all Nash equilibria...
Solve the following games: No explanations are necessary. Just the solutions. a) Find all Nash equilibria in pure strategies for the following games. Describe the steps that you used in finding the equilibria. 
 Colin Left Mid Right Rowena Up 5,3 7,2 2,1 Straight 1,2 6,3 1,4 Down 4,2 6,4 3,5 b) Find all pure-strategy Nash equilibria for the following game. Describe the process that you used to find the equilibria. Use this game to explain why it is important to...
In the following games indicate any pure strategy Nash equilibria that exist. Then find the mixed...
In the following games indicate any pure strategy Nash equilibria that exist. Then find the mixed strategy Nash equilibrium for each game. Player 2 Left Colum | Center Column | Right Column U 100,0 25,75 0, 100 M 25,75 100, 0 25, 75 D 0,100 25, 75 100, 0
Find ALL Nash Equilibria (pure strategy and mixed) of the following games. Also identify the efficient...
Find ALL Nash Equilibria (pure strategy and mixed) of the following games. Also identify the efficient outcome of each game: a) Player 2 Left Right Player 1 Up 5,6 4,9 Down 7,7 3,8 b) Player 2 Left Right Player 1 Up 4,3 1,10 Down 2,5 4,2 c) Player 2 Left Right Player 1 Up 5,5 4,4 Down 4,2 7,3 2. Find all of the PURE STRATEGY Nash Equilibria to the following game: Player 2 Left Center Right Player 1 Up...
Select the correct answer: Nash equilibrium occurs only if the game is played in Nashville, TN....
Select the correct answer: Nash equilibrium occurs only if the game is played in Nashville, TN. (True/False) A prisoners’ dilemma has no equilibrium. (True/False) Firms in monopolistic competition often undertake extensive advertising. (True/False) A firm in monopolistic competition faces a downward-sloping demand curve. (True/False) Oligopoly is always efficient (True/False)
Consider the following game, which might model the “Split-or-Steal” game show. Two players simultaneously choose whether...
Consider the following game, which might model the “Split-or-Steal” game show. Two players simultaneously choose whether to split or steal. If they each choose to split, they each get $50. If one chooses steal and the other chooses split, then the stealer gets $100 and the splitter gets $0. If both choose steal, they each get $0. (a) Assume the players care both about their own monetary earnings and the amount of inequality between their earnings: for a pair of...
Q1. Consider the following game. Two players simultaneously and independently choose one of three venues. They...
Q1. Consider the following game. Two players simultaneously and independently choose one of three venues. They would like to choose the same venue (i.e. meet), but their favorite venues are different: Football cafe ballet Football (3,2) (1,0) (1,1) cafe (0,0) (2,2) (0,1) ballet (0,0) (0,0) (2,3) a. What are the pure-strategy Nash equilibria of this game? b. Derive a mixed-strategy Nash equilibrium in which players 1 and 2 mix over Football and Cafe only? Now suppose that player 1 is...
Hotelling’s location game. Recall the voting game discussed in class. There are two candidates, each of...
Hotelling’s location game. Recall the voting game discussed in class. There are two candidates, each of whom chooses a position from the set S = (1,2,...10). The voters are equally distributed across these ten positions. Voters vote for the candidate whose position is closest to theirs. If the two candidates are equidistant from a given position, the voters at that position split their votes equally. First, unlike in the game analyzed in class, assume that both candidates only care about...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT