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'''Case 1)'''&nbsp;&nbsp; <math>h(\overline{p}) < 0 \,\,</math> and <math> \int_{\underline{p}}^{\overline{p}} v(p)dF(p) < c\,</math>. In this case it is better not to search.
'''Case 2)'''&nbsp;&nbsp; <math>h(\overline{p}) < 0 \,</math> and <math>\int_{\underline{p}}^{\overline{p}} v(p)dF(p) \ge c\,</math>. In this case the net benefit at the current price is negative, but the consumer is best off by searching until they get a price quote at (or below) <math>\underline{p}\,</math>.
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