What Defines a Firm's Decision Problem in Game Theory?

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Kinetica
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Here is just a general question.

I've got a game theory question, which asks to solve a firm's decision problem. How do I define the decision problem? Is it an equation that equates the total probability of all the events to some outcomes?
 
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A quick look on Wikipedia defines a decision problem (in complexity theory) as a question with a yes or no answer. http://en.wikipedia.org/wiki/Decision_problem
Without more information, we can't help you with this question.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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