Consider the following 3-player static game with row player Batman (his choices are aand b), column player Catwoman (her choices are c and d), and matrix player Joker (hischoices are left, middle and right). In the payoff triples the first entry is Batman's payoff,the second entry is Catwoman's payoff, and the third entry is Joker's payoff.leftmiddlerightddda1,1,51,0,1a1,1,31,0,0a1,1,01,0,00,0,00,1,00,0,00,1,3b0,0,00,1,5(a) Give a belief for Joker about his opponents' choice combinations that supports hischoice of middle (i.e. such that middle is optimal for him).(b) Solve the game with iterated strict dominance.(c) Construct an epistemic model such that, for every choice found in (b) there existsa type such that:• the choice is optimal for the type,• and the type expresses common belief in rationality.

There are three players : Batman , Catwoman & Joker Batman's Strategy set : { a , b } Catwoman's…

Consider the following 3-player static game with row player Batman (his choices are a and b), column player Catwoman (her choices are c and d), and matrix player Joker (his choices are left, middle and right). In the payoff triples the first entry is Batman's payoff, the second entry is Catwoman's payoff, and the third entry is Joker's payoff. left right d middle d d a 1,1,5 1,0,1 a 1,1,3 1,0,0 a 1,1,0 1,0,0 b. 0,0,0 0,1,0 0,0,0 0,1,3 b 0,0,0 0,1,5

Consider the following 3-player static game with row player Batman (his choices are a and b), column player Catwoman (her choices are c and d), and matrix player Joker (his choices are left, middle and right). In the payoff triples the first entry is Batman's payoff, the second entry is Catwoman's payoff, and the third entry is Joker's payoff. left right d middle d d a 1,1,5 1,0,1 a 1,1,3 1,0,0 a 1,1,0 1,0,0 b. 0,0,0 0,1,0 0,0,0 0,1,3 b 0,0,0 0,1,5

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.6P

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