stochastic (non-deterministic) trading algorithms

Hi,
Does anybody out there know of or even better have experience using stochastic, non-deterministic trading algorithms?

So just to be very clear about what I am looking for:
A trading strategy that implements an element of probability/chance. So such a trading strategy if backtested on the same historical data over and over would yield different results every time.

I know they exist but don't know how widespread their use is in the real world. I don't really care about how successful they might or might not be when run on actual markets.
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I would be really grateful for any knowledge of such trading algorithms._
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Thanks in advance._
 
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