Re: jnu question
Posted by Amit Goyal on
URL: http://discussion-forum.276.s1.nabble.com/jnu-question-tp2592523p2605686.html
Steps for second question:
Let's do the backward induction argument,
When only C and D are left, C will offer 4 to himself and 0 to D and since C's vote carry 50% weight, hence the offer will be agreed.
When B, C and D are left, C will reject any offer that give him less than 4 and D will accept any offer greater than 0 since this is what they are going to get if B is eliminated. So, B will offer 3 to himself and 1 to D and the offer will be accepted by 2/3rd majority. Thus, C will get 0 if B, C and D are left.
So, when its A's turn to make an offer, C will accept any offer greater than 0. So, A will make an offer equal to 3 to himself and 1 to C and the offer will be accepted by 50% votes.