Re: DSE 2016 doubt

Posted by Abhitesh on Jun 18, 2017; 5:02pm
URL: http://discussion-forum.276.s1.nabble.com/DSE-2016-doubt-tp7605789p7605817.html

Let x axis(0-20) represent hours and y-axis utility. Take 0-end of x-axis as student 1(S1) origin and 20-end as S2 origin.
Now plot utility of S1 and S2. Note that if S1 is assigned < 2hr or >12 hrs. U1 and U2 both increase (<2) or decrease (>12).
So,
U1 and U2 can be raised by given more work to S1 (<2 hr case) or less work (>12 hr). So these allocations are not PO.

If 2<=S1<=12. One increases and other decreases. So these will be PO because if you change the allocation then at least one agent will be worse off.