So, we can see that for the below question, we are asked to show linear demand for a utility function $(\mathbb{R}^n)_+ \to \mathbb{R}$. My question is, what does the plus symbol in the set R represent? I am seeing this notation across several real number sets, but do not know what it stands for.

Notation as shown in Latex

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    $\begingroup$ Typically, $\mathbb{R}^n_+$ is used to denote either the positive or the non-negative $2^n$-thant of the euclidean space. Whether it's the former or latter is more a matter of convention than anything else, and you should look for previous usage to determine which, although it may not make much of a difference for this particular example. $\endgroup$ – stochasticboy321 Nov 1 '15 at 22:12
  • $\begingroup$ @stochasticboy321 Since $\alpha=0$ is allowed above, I'm inclined to think it's the non-negative version. Also, your comment could be an answer. $\endgroup$ – user147263 Nov 1 '15 at 22:14

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