2. For the game illustrated in the figure below, find all pure-strategy Nash equilibria and mixed-strategy Nash equilibria (Hint: apply IDSDS first)Player 2Wy0,20А5,3010,15Player 1В0,515,55,100,50,30-10,5

Answered: Image /qna-images/answer/d19bbb6e-2578-43e4-a0ee-87f75d3dd929.jpg

Answered: 2. For the game illustrated in the…

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.1P

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Question > Consider the following matrix game where Player 1 moves first then Player 2 observes player 1's move and responds. Draw the game tree for the sequential move game and then determine all the Nash equilibria. Player 1 Strategy A Strategy B Strategy C Strategy D -3, -2 10, 12 9, 20 Player 2 Please show each step on how to get the answer. Thank you! Strategy E 13,7 17, 17 12, 21 Strategy F 20,8 22, 16 19, 19
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Exercise 6.8. Consider the following extensive-form game with cardinal payoffs: 1 R O player pay 000 2 1 M 3 b 010 O player 3's payoff 1 2 221 2 000 0 0 (a) Find all the pure-strategy Nash equilibria. Which ones are also subgame perfect? (b) [This is a more challenging question] Prove that there is no mixed-strategy Nash equilibrium where Player 1 plays Mwith probability strictly between 0 and 1.
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1. Consider the game where initially She chooses between "Stay Home" and "Go Out". If She chooses "Stay Home" then She gets 2 and He gets 0. If She chooses "Go Out" then they each simultaneously choose "Movie" or "Concert" where the payoffs are 0,1 or 3 as in the Battle of the Sexes Game. What are the subgame perfect Nash Equilibria of this game ?
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2. For the game illustrated in the figure below, find all pure-strategy Nash equilibria and mixed- strategy Nash equilibria (Hint: apply IDSDS first) Player 2 W X A 5,30 10,15 0,20 Player 1 0,5 15,5 5,10 0,5 0,30 -10,5