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. 2020 Apr 28;140:101961. doi: 10.1016/j.tre.2020.101961

Table 3.1.

Optimal decisions and the corresponding profits and consumer surplus under Model $i \in (N, S, M)$ .

	Model N	Model S	Model M
$h_{i}^{*}$	$\frac{1 - η l}{2 k_{N} - 1}$	$\frac{1 - e l - w}{2 k_{S} - 1}$	$\frac{1 - y - t}{2 k_{M} - 1}$
$p_{i}^{*}$	$\frac{k_{N} (1 - η l)}{2 k_{N} - 1}$	$\frac{k_{S} (1 - e l - w)}{2 k_{S} - 1}$	$\frac{k_{M} (1 - y - t)}{2 k_{M} - 1} + t$
$Π_{i}^{*}$	$\frac{k_{N} {(1 - η l)}^{2}}{2 (2 k_{N} - 1)} - F$	$\frac{k_{S} {(1 - e l - w)}^{2}}{2 (2 k_{S} - 1)} - F$	$\frac{k_{M} {(1 - y - t)}^{2}}{2 (2 k_{M} - 1)} - G$
$C S_{i}^{*}$	$\frac{k_{N}^{2} {(1 - η l)}^{2}}{2 {(2 k_{N} - 1)}^{2}}$	$\frac{k_{S}^{2} {(1 - e l - w)}^{2}}{2 {(2 k_{S} - 1)}^{2}}$	$\frac{k_{M}^{2} {(1 - y - t)}^{2}}{2 {(2 k_{M} - 1)}^{2}}$