19 Aug 11
5 greedy yet intelligent brothers (all different ages) have to take a decision of how they should divide 50 precious diamonds inherited from their gangster father, among themselves. They set a rule. The eldest brother will propose a solution and all (including the proposer) will vote 'yes' or 'no' for this. If the number of 'yes' is more than or equal to 50%, his solution will be accepted and division will happen according to his proposal. Otherwise, the solution will not be accepted and the proposing brother will be disowned by the family and the process will be repeated by the remaining family members. Assuming that everyone wants to stay with the family, how will the division happen?
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19 Aug 11
1 edit
Originally posted by smartarin
5 greedy yet intelligent brothers (all different ages) have to take a decision of how they should divide 50 precious diamonds inherited from their gangster father, among themselves. They set a rule. The eldest brother will propose a solution and all (including the proposer) will vote 'yes' or 'no' for this. If the number of 'yes' is more than or equal to 5 ...[text shortened]... mbers. Assuming that everyone wants to stay with the family, how will the division happen?
Our dad was a gangster. It sounds like we are too, or are willing to be. If left to me, I'd propose that we fence the rocks and split the proceeds; to build loyalty and minimize exposure.
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19 Aug 11
I agree with VelvetEars.
If there are 2 left the 4th brother gets it all. So, when there are 3 left the 3rd brother says 49,0,1 and the last agrees because it gets him more diamonds. So, when there are 4 left the 2nd brother says 49,0,1,0 and the 4th brother agrees. Thus when there are 5 brothers the 1st brother says 48,0,1,0,1 and the 3rd and 5th brothers agree.
08 Sep 11
1 edit
Originally posted by smartarinThere is the additional problem, apparently not considered by some, that if less than 50% do not accept, the older brother is out, and the process starts again. This is why I disagree with 48,0,1,0,1. These are gangsters, and the problem allows for them to kick out the older brother, so the older brother should sacrifice himself to get anything at all. Consider that if the older brother is kicked out, then 50 diamonds are shared among 4 brothers, and, if no acceptable solution, than 50 diamonds shared among 3 brothers, and so on. The second youngest brother seems in the cat-bird's seat, as he can't be kicked out if he votes for his own solution (two brothers left, he is 50😵, and his vote becomes increasing more important if there is no solution. It is in the younger brothers' interest, vote no until they are guaranteed a large portion.
5 greedy yet intelligent brothers (all different ages) have to take a decision of how they should divide 50 precious diamonds inherited from their gangster father, among themselves. They set a rule. The eldest brother will propose a solution and all (including the proposer) will vote 'yes' or 'no' for this. If the number of 'yes' is more than or equal to 5 ...[text shortened]... mbers. Assuming that everyone wants to stay with the family, how will the division happen?
The oldest brother is the most screwed, with the second youngest brother the most advantageous if the process gets to him. It wouldn't, of course.
For example, if 4 brothers vote no on the first round, than the 4 have more for themselves. If in the next round, 3 brothers vote no, they have more for themselves. In the round with the three brothers, the third youngest brother will be wise to 25, 0, 25, up to 49,0,1 as if the youngest brother votes no, along with the second youngest brother, than in the next round the second youngest brother can propose 50,0 and still have 50%.
So, I say the most likely event is first round: reject, second round: reject, third round, accept.
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08 Sep 11
12 edits
Originally posted by JS357Don't put line returns in hidden it doesn't work
[hidden] Our dad was a gangster. It sounds like we are too, or are willing to be. If left to me, I'd propose that we fence the rocks and split the proceeds; to build loyalty and minimize exposure.[/hidden]
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09 Sep 11
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Originally posted by JS357iamatiger, I don't think I put line returns in this.
[hidden] Our dad was a gangster. It sounds like we are too, or are willing to be. If left to me, I'd propose that we fence the rocks and split the proceeds; to build loyalty and minimize exposure.[/hidden]
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09 Sep 11
Originally posted by JS357Correct. It was the apostrophe that did the dastardly deed. You get:
iamatiger, I don't think I put line returns in this.
this if you put
newlines inside
newlines inside
while you get
this if you've got an apostrophe in it
but you can cure that if you escape the apostrophe with a backslash
so this\'un should work.
Richard
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09 Sep 11
Originally posted by Shallow BlueThanks.
Correct. It was the apostrophe that did the dastardly deed. You get:
[hidden]this if you put
newlines inside[/hidden]
while you get
[hidden]this if you've got an apostrophe in it[/hidden]
but you can cure that if you escape the apostrophe with a backslash
[hidden]so this\'un should work.[/hidden]
Richard
12 Sep 11
Originally posted by smartarinwhy can't they agree to the obvious, 10 diamonds per kid?
5 greedy yet intelligent brothers (all different ages) have to take a decision of how they should divide 50 precious diamonds inherited from their gangster father, among themselves. They set a rule. The eldest brother will propose a solution and all (including the proposer) will vote 'yes' or 'no' for this. If the number of 'yes' is more than or equal to 5 ...[text shortened]... mbers. Assuming that everyone wants to stay with the family, how will the division happen?