Thread: Thiefs

If there were only 2 thiefs, thief 1 being the most senior, he would just vote for himself so he's obviously going to keep all the money for himself.

Now if there are 3 thiefs:
thief1 already knows what happens when there are 2 thiefs (thief 1 takes all the money himself and gives nothing to thief 2). So thief 1 proposes that he will take 99 gold coins and give 1 coin to thief 3. So, thief 3 says, well, 1 is better than none, and since i know if i don't vote for thief 1, I get nothing, I should vote for this plan.

If u work out on this futher considering the case for 4 thiefs and then finally for 5 thiefs u will reach d solution told earlier!!

Originally Posted by smart_coder

There are 5 thiefs and they rob a bag of gold coins in it. There were 100 gold coins.They decided to divide the gold coins among themselves.
There was a seniority level among the thiefs.
1 means highest seniority and 5 means lowest seniority .
So dey decided that thief with the highest seniority will propose a method to divide gold coins and then there wud b a polling. If there is atleast 50% majority in favour of him then his proposal will b accepted otherwise other thiefs will kill him and now the next seniormost thief will propose a method and again a polling will held..nd the story goes on....
The thiefs are equally greedy and equally intelligent.
What proposal wud u put if u were been the senior most thief ?

Can u plz give me the logic of the solution..
m not able to get it..

My solution is:

Pirate 5 (Me): 25
Pirate 4 : 25
Pirate 3 : 25
Pirate 2 : 13
Pirate 1 : 12

Here Pirate 4 and 3 will vote for me. I have my own vote at my side. This will keep me in majority. Pirate 4 and 3 will think that if they do not accept my solution then they will murder me but 100 coins will be then distributed among them. Probably they will get 25 only which anyway they are getting. So why not accept my solution?

Pirate 1 and 2 will not accept. But they what will happen? Nothing. They constitute lesser than 50 % in the total quorum. So anyway I will get more than others and I will remain alive.

Correct me if I am wrong.

I being the senior most senior thief to distribute, I will ask level 2 to divide and obviously I will not support him and make sure level 4 and 5 are with me (They will listen to me as I am level 1). Then level 2 will be killed and I will still be level1. Now I will ask level 3 to distribute and will not support and he also will be killed and so on . . .
Finally I will be left with level 5. Now, I will take decision of me taking all 100 coins. If level 5 did not agree he will be killed. So, he will agree.