Thiefs

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 ?

[QUOTE=smart_coder;6887]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 ?[/QUOTE]

Hi smartcoder


I think senior most thief, when taking decision will keep in mind profit of level 1(himself), level 2 and level 3. This is because,when there is polling he requires atleast 50%. (that means 5/2= 3 persons).i.e atleast 3 persons should vote in his favour.
(note:there is seniority level, thats why i selected level 2 and 3)


He wont care of level4 and level 5 thief.(SINCE its also told that every thief is greedy).

probably divide the coins as

45,30,25

Kill level 4 and level 5 thief(afterall they are juniors).50% polling condition will also be satisfied, because level 2 and level 3 thief will like it a lot!

If i was the senior most thief, i would do this!
I hope iam right, and if not, atleast close to the answer!

bye
:D

u didnt get the question correctly!!
u cant kill juniors!! only senior can be killed by juniors if he doesnt win the polling!!
and any how level2 thief wont vote for level1 because level2 himself wants to get the largest share..so level2 will vote against level1 so that level1 loses his majority and level2 thief wud be allowed to put a proposal!!

hi smart coder,

how the thief's accept the polling ? any rules are there ? Suppose if two of them getting equal numbers of coins then they accept or not ?

---------------
suresh

If two thieves accept the equal amount of gold then my decision is 33.33% of gold for me 33.33% of gold for 4th and 5th theif.... I'm sure i will get 50 percent of vote.

Thanks
Manoj:)

A Thief votes for someone only after he ensures he will get sum gold coin or he will live alive!!

Hi Smart,

Thats wat i told in my previous post... I'm sure that i will get vote from 4th and 5th so i got 50% of vote... So i'm happy as well as they also happy...

Thanks
Manoj:)

hi

Yes, if u are thief manoj :) and you want to save your life, its always good to take safest path.Share equally among them!:D
Even i agree with you manoj!
But how will u share 100 coins amongst three equally? (ok u may have to melt it, weight them and .....).

it seems bit odd, if all thieves get same amount of money, irrespective of their Seniority level!

anyway good thinking manoj:D

bye
:)

If senior most try to distribute equally(i.e. suppose 33%) then no one will vote for him and they will kill him bcoz they think their share may get increased!!
got the point??

hi smart coder,

Here is my answer...i don't know this is correct....may be correct...

Theif1 = 1
Theif2 = 0
Theif3 = 1
Theif4 = 0
Theif5(me) = 98

If it is not correct then here is the another answer...

Theif1 = 33
Theif2 = 0
Theif3 = 33
Theif4 = 0
Theif5(me) = 34

Let us know any one of is correct ? Otherwise give some other clue..

-------------------
suresh

why 4th and 5th will vote for u..coz they know if 1st get killed and if 2nd wud be given a chance to propose a distribution he may give 50% to 4th or 5th!!

Ok Shenoy small change in my answer

4th theif - 33 coin
5th theif - 33 coin
3rd theif - 1 coin
Me - 33 coin
Total - 100 coin

Why i took this decision is in the question its mention that all the theives are greedy including me... so i need more gold but at the same time i have to save my life... so this decision best suits in both the cases...
No need to melt the coin... Now i'm safe...

Thanks
Manoj:)

i wont disclose now suresh otherwise others would stop thinking!!
explain ur both answers!!

Instead of giving to 4th and 5th give to 2nd and 3rd so they wont kill me...

Thanks
Manoj:)

still they wont vote for u!! coz dere share wud get increased!!

hi smart


give max to 5th thief, then bit lower to fourth.Leave out 2 and 3 .I , senior most will take least.

say 5th give him 50
4 30
me 20.


If its still wrong, then i request you to leave your solution here!


bye

Suresh has already given the answer!!
Theif1 = 1
Theif2 = 0
Theif3 = 1
Theif4 = 0
Theif5(me) = 98

[QUOTE=smart_coder;7160]Suresh has already given the answer!!
Theif1 = 1
Theif2 = 0
Theif3 = 1
Theif4 = 0
Theif5(me) = 98[/QUOTE]

hi smart

iam not getting you dear! how come iam at number 5 level. Iam the senior most thief! isn't it?Please explain!

bye

Theif1(me) = 98
Theif2 = 0
Theif3 = 1
Theif4 = 0
Theif5 = 1

is it ok now??

[QUOTE=smart_coder;7162]Theif1(me) = 98
Theif2 = 0
Theif3 = 1
Theif4 = 0
Theif5 = 1

is it ok now??[/QUOTE]

no yaar, not getting the concept at all! please explain.

my doubt , with this proposal, what i feel is thief 2, and 4 will simply kick me out of number one level. wont they?

neither thief no 3 nor 5 will be happy with me .
With this proposal , i cannot dream even 1 vote with me, then 50% seems to be ..........:confused:

Ofcourse, there must be some concept, so do explain me!(:confused: since you told every thief is greedy,so why will they accept this proposal!)
bye

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!!

[QUOTE=smart_coder;6887]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 ?[/QUOTE]

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

[QUOTE=smart_coder;6887]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 ?[/QUOTE]

The answer may be we all will take 25 coins each from level 1 to level 4 but the level 5 will not get anything.Hence the polling result will also be maximum 75%(3 out of 4 will favor this), why?

because if 2nd level thief think that he can gain more than he can't, because after killing one, still there will 4 to divide 100, again option of 25 each.same for 3rd and 4th.5th will be the only loser and vote against, but who care?

i dont think anyone wud uphold the proposal.unless u r allowed to give 2 proposal.

PPROPOSAL 1 PROPOSAL 2
thief1(me)=98 theif1(me)=98
thief 2=1 thief2=0
thief 3 =0 thief3=1
thief 4=1 thief4=0
thief 5 =0 thief5=1






2nd and 4th thief wud fear that if the first proposal is not accepted,3rd and 5th may accept the second proposal,and in that case they wud get nothing.the same will be the thought of 3rd and 5th that if they dont accept the second proposal 2nd and 4th may go with the 1st proposal and they wud get nothing.so there will be competition among (2nd and 4th) to accept the first proposal and (3rd and 5th) to accept the 2nd proposal and reject 1st proposal.
in either case i'll get more than 50% vote and max reward as well.sometimes other thieves may fight with each other and kill each other, so that i can take away everything.....

howzzzaaattt!!!!!!!!!!!!!!!!!!!!!!

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.