Answer to Question #217496 in Microeconomics for Pragati

Question #217496
. you and a classmate are assigned a project on which you will receive one combined grade. you each want to receive a good grade, but you also want to avoid hard work. in particular, here is the situation: *if both of you work hard, you both get an a, which gives each of you 40 units of happiness. *if only one of you works hard, you both get a b, which
Question: 6. You And A Classmate Are Assigned A Project On Which You Will Receive One Combined Grade. You Each Want To Receive A Good Grade, But You Also Want To Avoid Hard Work. In Particular, Here Is The Situation: *If Both Of You Work Hard, You Both Get An A, Which Gives Each Of You 40 Units Of Happiness. *If Only One Of You Works Hard, You Both Get A B, Which
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6. You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:
*If both of you
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Expert's answer
2021-07-16T09:36:57-0400

The complete question is

You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:

*If both of you work hard, you both get an A, which gives each of you 40 units of happiness.

*If only one of you works hard, you both get a B, which gives each of you 30 units of happiness.

*If neither of you works hard, you both get a D, which gives each of you 10 units of happiness.

*Working hard costs 25 units of happiness.

a. Fill in the payoffs in the following decision box:


Your Decision Classmate's Decision

Work/Work Your: Classmate:

Shirk/Work Your: Classmate:

Work/Shirk Your: Classmate:

Shirk/Shirk Your: Classmate:

b. What is the likely outcome? Explain your answer.

Solution

a.

Consider the game below



Suppose there are two decisions Your decison and classmates decision. Both have two strategies- work and shirk.


b.

If classmates decision is to work, your decision will be to shirk because it is giving him the highest payoffs. if classmate's decision is to shirk, your decision will be to shirk because it is giving him the highst payoffs.


If your decision is to work, classmate's decision will be o shirk because it is giving him the highest payoffs. If your decision is to shirk, classmate's decision will be to shirk because it is giving him the highest payoffs.

Thus, likely outcome or nash equilibrium is (shirk, shirk)


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