Jaypee Institute of Information Technology (JIIT) 2008 B.E Computer Science Test 1 : Computer Game For CSE - Question Paper

Coarse Name: Computer Gime    Course ('ode: 07B8ICI404

Course Credits: .1

Max. Marks: 20    Max Time: I hr

1.0

-i.-i

2. 1

Jay pee University Of Information 1 ethnology

Waknaghat

Coarse Name: Computer Gime    Course ('ode: 07B8ICI404 Course Credits: .1 Max. Marks: 20    Max Time: I hr
c	n.o	I. 2	2. 2

a)    It is zero-sum game. Prove or disapprove with appropriate reasoning.

b)    Find all purc-stratcgy Nash equilibria & mixed-strategy Nash equilibria.

|l + 3*4 Mark|

Q2) Consider the following situation involving a professor and a student of his game theory course. The professor has two objectives: his top priority is to make the student work hard. Moreover, the professor wants to spend as little time on setting and correcting exams as possible The student wants to work hard if this is nccc&sary to pass the course,

i.e., if she cxpccts an exam; otherwise she prefers to spend her time with friends in a cafe. The professor knows his student's preferences and contemplates the following strategy he will announce an exam for the end of the term. The student should then work hard in order to pass the course. However, the professor will cancel the exam just before ihc announced date and simply \a the student pass. This would achieve both of his objectives Model the interaction between professor and student as a game of complete information Assign payoffs which are in line with the above description. Point out any additional assumptions which you may need to make.

|6 Marks!

QJ> Why validity of Axiom 3 given by Shaplc) is questioned?

|2 Marks}

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