Problem 3 Suppose you and your class mate have to do a group assignment. Both of you can decide to work or shirk. If you both work, then both will get a good mark but both incur the cost of working. If one person works, you get a bad mark but the person who shirked will not have to put in the effort. If both shirk then the students will get an even worse mark but do not have to put in effort. The following table represents the individuals' utilities (as always the first number is the payoff of the row player): your work shirk classmate work 4.4 5,1 shirk 1,5 2,2 d) Suppose, both students have competitive preferences and care only about how much better or worse off they are compared to the other student. In other words, u(x, y) = =x-y for both students. Show the payoff table with the psychological payoffs. What is the Nash prediction now! Discuss.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Problem 3
Suppose you and your class mate have to do a group assignment. Both of you can decide
to work or shirk. If you both work, then both will get a good mark but both incur the cost of working.
If one person works, you get a bad mark but the person who shirked will not have to put in the
effort. If both shirk then the students will get an even worse mark but do not have to put in effort.
The following table represents the individuals' utilities (as always the first number is the payoff of the
row player):
you
work
shirk
classmate
work
4.4
5,1
shirk
1,5
2,2
d) Suppose, both students have competitive preferences and care only about how much better
or worse off they are compared to the other student. In other words, u(x, y) = IRI
- y for both
students. Show the payoff table with the psychological payoffs. What is the Nash prediction
now! Discuss.
Transcribed Image Text:Problem 3 Suppose you and your class mate have to do a group assignment. Both of you can decide to work or shirk. If you both work, then both will get a good mark but both incur the cost of working. If one person works, you get a bad mark but the person who shirked will not have to put in the effort. If both shirk then the students will get an even worse mark but do not have to put in effort. The following table represents the individuals' utilities (as always the first number is the payoff of the row player): you work shirk classmate work 4.4 5,1 shirk 1,5 2,2 d) Suppose, both students have competitive preferences and care only about how much better or worse off they are compared to the other student. In other words, u(x, y) = IRI - y for both students. Show the payoff table with the psychological payoffs. What is the Nash prediction now! Discuss.
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