Question

3 Sequential game Imagine the same Professor and Students are playing a sequential game. Students move first and decide to show up to class or to not show up. Professor moves second and decides whether to threaten a quiz for the next lecture or not. Students then decide whether to attend the next lecture or not. Professor, who has a quiz prepared, observes whether students attend or not and then decides finally whether or not to actually give the quiz. Payouts (for Students,Professor) are as follows: Stud. show up to 1st class, Prof. threatens quiz, Stud. show up to 2nd class, Prof. gives quiz Stud. show up to 1st class, Prof. threatens quiz, Stud. show up to 2nd class, Prof. does not give quiz Stud. show up to 1st class, Prof. threatens quiz, Stud. don't show up to 2nd glass, Prof. gives quiz Stud. show up to 1st class, Prof. threatens quiz, Stud. don't show up to 2nd class, Prof. does not give quiz Stud. show up to 1st elass, Prof. does not threaten quiz, Stud. show up to 2nd class, Prof. gives quiz Stud. show up to 1st class, Prof. does not threaten quiz, Stud. show up to 2nd class, Prof. does not give quiz Stud show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd class, Prof. gives quiz Stud. show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd class, Prof. does not give quiz Stud. don't show up to 1st class, Prof. threatens quiz, Stud. show up to 2nd class, Prof. gives quiz Stud. don't show up to 1st class, Prof. threatens quiz, Stud. show up to 2nd class, Prof, does not gi Stud. don't show up to 1st class, Prof. threatens quiz, Stud. don't show up to 2nd class, Prof. gives quiz Stud. don't show up to 1st class, Prof threatens quiz, Stud. don't show up to 2nd class, Prof does not give quiz 2,3 1,1 1,2 2,3 1,1 3,3 2,1 3,2 1,0 ve quiz st class, Prof. does not threaten quiz, Stud. show up to 2nd class, Prof. gives quiz w up to 1st class, Prof, does not threaten quiz, Stud. show up to 2nd class, Prof. does not give quiz 4, 1 2,1 3.2 Stud. don't show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd class, Prof. does not give quiz 1.2 Stud. don't.sho Stud, don't show up to 1st class, Prof. does not threaten quiz Stud. don't show up to 2nd class, Prof. gives quiz 3.1 Please draw the game troe fo Pageく > 018 。 3 ZOOM+ show up to Stud. show up to 1st class, Prof. threatens quia, Stud. don't show up to 2nd class, Prof. gives quiz up to ve quiz Stud. show up to 1st class, Pro. threatens quia, Stud. don't show up to 2nd class, Prof, does not give quia Stud. show up to 1st class, Prof, does not threaten quis, Stud, show up to 2nd class, Prof. gives quiz Stud. show up to 1st class, Prof does not threaten quis, Stud. show up to 2nd class, Prof, does not give quiz Stud. show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd class, Prof. gives quiz 1,1 3,2 1,2 2,3 1,1 3,3 2,1 3,2 1,0 4,1 2,1 3.2 1,0 Stud. don't show up to Ist class, Prof. does not threaten quiz, Stud. don't show up to 2nd elass, Prot. does not dive quiz 42 Stud. show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd eclass, Prof does not give qui t show up to 1st class, Prof. threatens quia, Stud. show up to 2nd class, Prof, does not give quiz Prof. gives quiz Stud. don' Stud. don't show up to 1st class, Prof. threatens quia, St ud. don't show up to 2nd class, Prof. gives quia up to 1st class, Prof. threatens quz, Stud. don't show up to 2nd class, Prof. does not give quia show up to 1st elass, Prof. does not threaten quia, Stud. show up to 2nd class, Prof. gives qui Stud. don't show up to 1st class, Prof. does not threaten Stud. don't show up to 1st class, Prof. does not threaten quiz, Stud. don't show up to 2nd quiz, Stud. show up to 2nd class, Prof. does not giye quiz class, Prof. gives qui 3.1 Please draw the game tree for this game. How many subgames does this game have? 3.2 3.3 What is the subgame perfect Nash Equilibrium for this game? 3.4 Do students believe Professor's threat of a quiz?

Answer 1

Givcn lhal, S1 NSI NT NQ Sl show in fotClass NS2..no show in 2nd Cla丛 T:theto auiz №.. doesn't gie the quuz

аз со to the ro thre