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<p>  since every  that exhibits that  exhibits that  (we can delete the  from both sides). That is, if the prices and income increase by the same rate, the budget set does not change.</p>

<p><big>Preferences</big></p>
<p>The consumer preferences are defined over the of all possible bundles, that is, over, which is assumed to be a <a href="page.php?w=Closed_set">closed</a> and <a href="page.php?w=Convex_set">convex</a> set. Every element  in   is a nonnegative <a href="page.php?w=orthant">orthant</a> in . That is, every consumption bundle take the following</p><p>
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