Wednesday, February 10, 2010

Decision Analysis


An intoductory lecture to decision analysis

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Tuesday, February 9, 2010

Calculating variance

Sunday, February 7, 2010

A simple optimization problem

Here's a simple optimization problem that doesn't require anything other than high school algebra and maybe some basic calculus to solve.



The technique it illustrates is just one of basic substitution when you have a problem that can easily be reduced to a problem with a single variable.

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Saturday, February 6, 2010

What is optimization?

Here's a video of Leon Lasdon giving a talk with some examples of successful applications of operations research.



Lasdon is one of the old guys in operations research, and he says something at the start of his talk that struck me. "Everybody knows what optimization is", he says.

I used to think that was true also. But it's really not. In the poker world many people confuse the idea of optimal with that of equilibrium. In game theory you can find the equilibrium solution as an optimal solution of a min/max problem. So among poker math dweebs it's become common to term a solution of a game theory model as optimization and to describe exploitave.

In the poker world optimization has become exploitive and equilibrium has become optimization.

Outside the poker world optimization just means doing the best you can within whatever operating constraints you might have, just like Lasdon says in the video.

Sometimes I feel like Don Quixote tilting at windmills to try to use optimization to mean optimization when talking to poker dweebs.

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Friday, February 5, 2010

What is operations research?


A 6 minute overview of uses of operations research.

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