More on secretary/marriage/sultan's dowry problem? It is so cool

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tsuwal
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I've just learned to solve this problem and had such a good time! This is the very well-problem that says that if you want to hire the best secretary for a job you should take a sample of about n/e secreatries and them choose the best that appears to you starting from your sample:

http://en.wikipedia.org/wiki/Secretary_problem

What is the field of math that studies this kind of problems? Is it Stochastic processes? Where can I learn more?
 
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