Table 3.

Results in presence of the pandemic.

Mode	Condition	Optimal decisions	Optimal profits
Self-building mode	if$Q⩽{\overline{Q}}_0$	$p^{\ast }+k^{\ast }=(1-Q)v_1+\frac{1}{2}$	${\pi }_s^{1\ast }=(v_1(1-Q)-c+\frac{1}{2})Q$
	if${\overline{Q}}_0<Q$	$p^{\ast }+k^{\ast }=\frac{2v_1+2c+1}{4}$	${\pi }_s^{1\ast }=\frac{{(2v_1-2c+1)}^2}{16v_1}$
Platform mode	if$0<Q⩽{\overline{Q}}_1$	${\tau }^{\ast }=v_1-k$,$p^{\ast }=v_1-k$	${\pi }_s^{2\ast }=0$,${\pi }_o^{2\ast }=\frac{\gamma }{2}$
	if${\overline{Q}}_1<Q⩽{\overline{Q}}_2$	${\tau }^{\ast }=v_1-k+\frac{1}{2}-\frac{2Q{v}_1}{\gamma }$,$p^{\ast }=v_1-k+\frac{1}{2}-\frac{Q{v}_1}{\gamma }$	${\pi }_s^{2\ast }=\frac{v_1{Q}^2}{\gamma }$,${\pi }_o^{2\ast }=(v_1+\frac{1}{2}-\frac{2Q{v}_1}{\gamma })Q$
	if${\overline{Q}}_2<Q$	${\tau }^{\ast }=\frac{v_1}{2}-k+\frac{1}{4}$,$p^{\ast }=\frac{3v_1}{4}-k+\frac{3}{8}$	${\pi }_s^{2\ast }=\frac{\gamma {(2v_1+1)}^2}{64v_1}$,${\pi }_o^{2\ast }=\frac{\gamma {(2v_1+1)}^2}{32v_1}$