20.38 C1 Searchil 4G OMicroeconom...1. In the sequential games such as the sequential Battle of the Sexes, why does the Nashequilibrium allow for outcomes with noncredible threats?2.LeftRightUp1, 33, 1Down2, 24, 4a. Find the Nash equilibrium or equilibriab. Which player, if any, has a dominant strategy?c. Does A benefit from changing the game by reducing his or her payoff in thisway?3. Noah and Xaviera love to play "Hide and Seek." It is a simple game, but it continuesto amuse. It goes like this. Xaviera hides upstairs or downstairs. Noah can lookupstairs or downstairs but not in both places. If he finds Xaviera, Noah gets one scoopof ice cream and Xaviera gets none. If he does not find Xaviera, Xaviera gets onescoop of ice cream and Noah gets none.a. Fill in the payoffs in the matrix below! Is this a zero-sum game? What are theNash equilibria in pure strategies?Hide and SeekXavieraUpstairsDownstairsUpstairsNoahDownstairsb. Find a Nash equilibrium in mixed strategies for this game.c. Noah and Xaviera made new rules for this game. Now if Noah finds Xavieraupstairs, he gets two scoops of ice cream, but if he finds her downstairs, hegets one scoop. If Noah finds Xaviera, she gets no ice cream, but if he doesn'tfind her she gets one scoop. Fill in the payoffs in the graph below! Are thereany Nash equilibria in pure strategies?Advanced Hide and SeekXavieraUpstairsDownstairsUpstairsNoahDownstairsd. What mixed strategy equilibrium can you find?

Since you have asked multiple questions, we would be answering the first one for you. In order to…

Answered: 1. In the sequential games such as the…

1. In the sequential games such as the sequential Battle of the Sexes, why does the Nash equilibrium allow for outcomes with noncredible threats?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.3P

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Question

20.38 C
1 Search
il 4G O
Microeconom...
1. In the sequential games such as the sequential Battle of the Sexes, why does the Nash
equilibrium allow for outcomes with noncredible threats?
2.
Left
Right
Up
1, 3
3, 1
Down
2, 2
4, 4
a. Find the Nash equilibrium or equilibria
b. Which player, if any, has a dominant strategy?
c. Does A benefit from changing the game by reducing his or her payoff in this
way?
3. Noah and Xaviera love to play "Hide and Seek." It is a simple game, but it continues
to amuse. It goes like this. Xaviera hides upstairs or downstairs. Noah can look
upstairs or downstairs but not in both places. If he finds Xaviera, Noah gets one scoop
of ice cream and Xaviera gets none. If he does not find Xaviera, Xaviera gets one
scoop of ice cream and Noah gets none.
a. Fill in the payoffs in the matrix below! Is this a zero-sum game? What are the
Nash equilibria in pure strategies?
Hide and Seek
Xaviera
Upstairs
Downstairs
Upstairs
Noah
Downstairs
b. Find a Nash equilibrium in mixed strategies for this game.
c. Noah and Xaviera made new rules for this game. Now if Noah finds Xaviera
upstairs, he gets two scoops of ice cream, but if he finds her downstairs, he
gets one scoop. If Noah finds Xaviera, she gets no ice cream, but if he doesn't
find her she gets one scoop. Fill in the payoffs in the graph below! Are there
any Nash equilibria in pure strategies?
Advanced Hide and Seek
Xaviera
Upstairs
Downstairs
Upstairs
Noah
Downstairs
d. What mixed strategy equilibrium can you find?

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