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#1
02-24-2005, 12:41 PM
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Fun With Infinities
I was just thinking today, suppose you are at a table playing with everyone who was exactly as good as you. Now suppose you play with a capped buyin, but as soon as anyone drops below the cap they immediantly rebuy as much as they can.
What is the average stack size as the number of hands played tends to infinity? When I work this out I seem to get infinity, can anyone confirm this? 
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#2
02-24-2005, 02:03 PM
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Re: Fun With Infinities
[ QUOTE ]
Now suppose you play with a capped buyin, but as soon as anyone drops below the cap they immediantly rebuy as much as they can. What is the average stack size as the number of hands played tends to infinity? When I work this out I seem to get infinity, can anyone confirm this? [/ QUOTE ] Yes. This is one of the first results in queueing theory. Alternatively, the expected distance from the origin of a random walk goes to infinity as the time goes to infinity. The times between rebuys will increase, but with probability 1 you rebuy infinitely often.
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#4
02-24-2005, 09:55 PM
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Re: Fun With Infinities
yep, its infinity. think about it, what else could it be?
some random number like 84902375234890578347589023457pi?
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