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Topic: Game Theory (Read 3356 times)
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Scipi
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Game Theory
«
on:
June 26, 2011, 12:41:05 am »
Ok, a genius is probably needed here. So I've come to the right place.
I am trying to solve
this
problem. I figure if I can figure out the game theory behind this game then I can solve it. But I need help with some of the terms and such. What is Nim-Value? How is it used? How do you find it? Thanks!
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Late last night, Quebec was invaded by a group calling themselves, "Omnimaga". Not much is known about these mysterious people except that they all carried calculators of some kind and they all seemed to converge on one house in particular. Experts estimate that the combined power of their fabled calculators is greater than all the worlds super computers put together. The group seems to be holding out in the home of a certain DJ_O, who the Omnimagians claim to be their founder. Such power has put the world at a standstill with everyone waiting to see what the Omnimagians will do...
Wait... This just in, the Omnimagians have sent the UN a list of demands that must be met or else the world will be "submitted to the wrath of Netham45's Lobster Army". Such demands include >9001 crates of peanuts, sacrificial blue lobsters, and a wide assortment of cherry flavored items. With such computing power stored in the hands of such people, we can only hope these demands are met.
In the wake of these events, we can only ask, Why? Why do these people make these demands, what caused them to gather, and what are their future plans...
miotatsu
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Re: Game Theory
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Reply #1 on:
June 26, 2011, 03:57:31 am »
http://sps.nus.edu.sg/~limchuwe/cgt/cgt3.htm
http://en.wikipedia.org/wiki/Nim
http://en.wikipedia.org/wiki/Nimber
http://en.wikipedia.org/wiki/Sprague%E2%80%93Grundy_theorem
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Munchor
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Re: Game Theory
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Reply #2 on:
June 26, 2011, 06:23:30 am »
On a side note, that challenge looks really hard
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Scipi
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Re: Game Theory
«
Reply #3 on:
June 26, 2011, 12:53:10 pm »
Thanks miotatsu, that first link looks like it will help alot.
Quote from: ephan on June 26, 2011, 06:23:30 am
On a side note, that challenge looks really hard
Yeah, but this one seems possible at least. I just need to figure out all the possible winning combinations for that set and modulo that number and I've got my answer. The hardest ones on that site though are just sheer impossible.
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Late last night, Quebec was invaded by a group calling themselves, "Omnimaga". Not much is known about these mysterious people except that they all carried calculators of some kind and they all seemed to converge on one house in particular. Experts estimate that the combined power of their fabled calculators is greater than all the worlds super computers put together. The group seems to be holding out in the home of a certain DJ_O, who the Omnimagians claim to be their founder. Such power has put the world at a standstill with everyone waiting to see what the Omnimagians will do...
Wait... This just in, the Omnimagians have sent the UN a list of demands that must be met or else the world will be "submitted to the wrath of Netham45's Lobster Army". Such demands include >9001 crates of peanuts, sacrificial blue lobsters, and a wide assortment of cherry flavored items. With such computing power stored in the hands of such people, we can only hope these demands are met.
In the wake of these events, we can only ask, Why? Why do these people make these demands, what caused them to gather, and what are their future plans...
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