5 Fisherman of different ages find a treasure of 100 gold coins,On their ship,they decide to split the coins using the following scheme
The Oldest Fisherman proposes how to share the coins and all Fisherman remaining will vote for or against it.
If he achieves 50% votes in his favor then all the coins are shared as per his recommendation.Else he is thrown out of ship and the process repeats
Assuming that all Fisherman are intelligent,rational,greedy and fear death.
What is each ones share?
Lets start with 2 fisherman first.The elder one will give all the coins to the other one why?
ReplyDeleteIf the other does not votes his idea he will die.
so their share is
Elder------->Younger
0:100
Now for 3 Fisherman
The 3rd one takes 99 coins gives 1 to just younger and gives 0 to youngest.
So the Division is
Elder------->Younger
99:1:0
Remember the youngest will protest but the of no use as his just elder is getting now 1 as compared to last case where he was getting 0
Now for 4
Elder------->Younger
97:0:2:1
Remember the fisherman are smart if here he gives one each to last 2 then fisher man who is second from youngest will feel as he was getting same last time even so he gets one more and youngest who was getting nothing gets 1
Now for 5
Elder------->Younger
97:0:1:0:2
Remember now both the youngest and middle one are getting one more and thus he gets 50% votes which is the answer
So Answer is
Elder------->Younger
97:0:1:0:2
Hint:
Start from two persons and try to satisfy the puzzle from those who have got very less