One of my collueges asked me this question. I came up with a solution
but it was apparently wrong. Lets see if you can come up with a
solution. Good luck!
Consider two breeding strategies of the fictional Furble. Dominator
Furbles can fight for a breeding territory, and if they win, will be
able to rear 10 offspring. An alternative is to share territory with
another Furble which will allow each to rear 5 offspring. Sharers who
attempt to share with dominators will be forced out of the territory,
although they will be able to find a new territory. Assume sharers
become extra cautious after encountering a dominator and so will
always find another territory to share the next time around, but due
to lost time will only be able to produce 3 offspring. Dominators are
always able to force sharers out of the territory and rear 10 young.
Dominators who meet dominators will win 50% of the time. When they
lose, they are not able to reproduce that season due to sustained
injuries. Individual Furbles cannot switch strategies.
With a total population of 2000 dominator and sharer Furbles, how many
would you expect to be dominators? |
Request for Question Clarification by
xargon-ga
on
06 Dec 2002 09:54 PST
Does this assume that dominating and sharing are genetic traits,
passed on from parent Furble to offspring?
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Clarification of Question by
divet-ga
on
06 Dec 2002 12:10 PST
Like I said I have not yet solved this question. My answer is "wrong"
which suggests one of my assumptions was also incorrect. This is
simply a reflection of my understanding of the question. Yes, the
question would suggest that breeding strategies are genetically passed
down over newly created generations. For instance if a dominator
generates 10 offspring those 10 can be assumed to be dominators in my
opinion. Good luck!
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Request for Question Clarification by
tox-ga
on
07 Dec 2002 10:17 PST
Divet-ga
I recognize all your problems identical to the ones from "Test For
Exceptional Intelligence" created by the International High IQ
Society. This contest is also known as the Smartest Person in the
World Contest where the prize is 500 US dollars and recognition.
(information found here
http://www.highiqsociety.org/common/smartest.htm)
I do have the answers to your questions but I am hesitating to answer
because I am not sure on your purpose behind these questions. If you
are planning on submitting the answers you receive as your own to the
Society and participate in the contest, then that would be considered
cheating as the rules state that "The use of reference materials,
books, calculators, and computers is permitted" but the problems must
be solved individually without collaboration (stated by the Society
representative).
However, if you are genuinely curious then I hope you don't mind
waiting until the competition is over. Answers must be submitted by
the deadline December 31, 2002 and so since this question expires on
January 3, 2003, I will answer them on January 1.
I will assume you are not a participant since you have already stated
that you proposed the questions to your professors. However, this
delay is to keep the contest fair to everyone since even if you have
honest intentions, others who visit Google Answers may be tempted to
use the answers and participate in the contest.
I myself am not participating in the contest as I solved the problems
(23 out of 25) with a colleague. However, I can assure you that they
are all correct and your wait till January 1st will be worth it.
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Clarification of Question by
divet-ga
on
07 Dec 2002 11:57 PST
Hello tox-ga,
Thanks for your interest in my questions. To respond to your remark I
would like to say my listings are for my general interest. A colluege
of mine directed me to the site 2 weeks ago. Since then I alone have
been able to solve 24 of the 25 questions (The 25th question is being
solved by my computer as we speak). There is no need for me to steal
answers or cheat in order to win the competition. I actually wasn't
even aware of that cash prize to be honest. I have nothing to prove
by this test. How is it advantageous to me to divulge answers to
questions that other competitors could use?
I posted these questions since they (I found) were either the most
difficult or the most interesting. I have the solutions to all of the
questions I posted. So it is not a matter of cheating. I will gladly
go over any solution and show why it is incorrect. Only someone with
the proper solution could do that.
I only wish to see the logic other people used. I am currently
building a website that will allow people all over the world to
collaborate and work on research projects. It is a non-profit
organization built simply out of the love of human knowledge and
discovery. If this is interesting to anyone please leave a comment to
learn more.
tox-ga if you would like to talk further through email let me know. I
believe we could have an interesting dicussion.
Thanks,
Divet-ga
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