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.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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