an interest question,

[goodaku]

some one told me, who can ansower the question in 5 mins, he can earn $200.000 in US.


5 robbers robbed 100 diamonds, all diamonds are same size and same value.

they decided to seperate it, rules are:


they draw number(1.2.3.4.5)
first peroson gave out his opinion. if more than half person agree on his opinion ,then they will seperate
diamonds follow the first persons opinion.
if the persons opinion could not get more then half people support, he will be trough in ocean(be killed)
then the second person would give his opinion out.
if the second person out, the third person begin to give his opinion.
then the forth and fifth person.

qualification:
all robbers are clever, all these robbrs can know whats gonna happen,(they dont wanna die,
and all of them wanna get diamonds).

question:
whats the final distribution?

 

[mutant]

Robber 4 and 5 will each get 50 diamonds

I think this belongs in random thoughts forum

 

[goodaku]

dont u guys know?

 

[goodaku]

the source was from 1950-1951 in an amercian mathematicians report..............

 

[goodaku]

If 4 say that he wants 50 and another 50 give to 5, 5 wont agree on 4, 4 only get agreement 50%, no more than half people agreement, 4 would die and 5 get 100.

so this is not the answer for 4.5 both get 50

 

[Madz]

but i heard that when 4 demanded for more the other killed him and remainng devided his jewls. and lived happily ever after

 

[goodaku]

the ansower is 98.0.1.1.1

the frist person get 98 jewels.......

 

[Squirm]

Where did the extra diamond come from?
Also, that solution seems highly illogical. Perhaps you could explain your reasoning.

 

[Gruntie]

0,0,50,50,0


all scenarios leave 5 with 100 and 1-4 dead unless compromise is reached.

the best 1 can offer is 0,33,33,34,0

which will be refused

leaving 2 to offer 0,0,50,50,0

if this is refused 5 can veto any thing by 3 or 4 so it will be accepted

where do I claim my 200K

 

[Gruntie]

sorry

1 would realize this and propose 0,0,50,50,0

but the end result is the same but with no one dieing

 

[Gruntie]

Originally posted by goodaku
the ansower is 98.0.1.1.1

the frist person get 98 jewels.......

2,3,4,5 would vote no and then . . . splash goes 1

 

[goodaku]

reversal thinking
think it from the last person 5 to the frist person 1

1.(4.5 left), the only solvtion that 4 can survive is that he give all jewels to 5, /0:100/

2.(3.4.5) when 3 knows that 4 could get nothing if he dead, so he could give 4 one jewel, 4 must be agree, so there is the deal.
/99:1:0/

3(2.3.4.5)2 wants to ger more jewels, the only way is he give one to 5, two to 4, cause that he wont give 3, no matter what, 3 could get more jewels after 2 dead, and 4 might agree with both2,3, so 2 need to give 5 one jewel to get compromise.
/97:0:2:1/
4(1.2.3.4.5) the first person 1, he knows that if 2 survival ,3 could get nothing, so 1 decide to give one to 3, cause he also know that vote is not enough, he dont wannt to give 4, 2 could give 4 two, so he has to give 5 one.
/98:0:1:0:1/

solution is right there!!! could u guys get it?

 

[Gruntie]

No

because according to the wording of the problem 1 would propose his solution first

and if he proposes 98,0,1,0,1

everybody except no 2 could get a better deal thus it would be rejected ???