Table A2.

The equilibrium outcomes with a consumer subsidy in the four cases.

(F, F).	$e_1^{s*}=(g\lambda +\varphi )/(2{\theta }_1)$; $e_2^{s*}=(g\lambda +\varphi )/(2{\theta }_2)$; $p_{f1}^{s*}=(4{\theta }_2-{\theta }_1)(2g\lambda +\varphi )\varphi /(12{\theta }_1{\theta }_2)+(-g^2{\lambda }^2{\theta }_1+4g^2{\lambda }^2{\theta }_2+12\beta {\theta }_1{\theta }_2)/(12{\theta }_1{\theta }_2)$; $p_{f2}^{s*}=(4{\theta }_1-{\theta }_2)(2g\lambda +\varphi )\varphi /(12{\theta }_1{\theta }_2)+(-g^2{\lambda }^2{\theta }_2+4g^2{\lambda }^2{\theta }_1+12\beta {\theta }_1{\theta }_2)/(12{\theta }_1{\theta }_2)$; ${\pi }_1^{FFs*}={(12\beta {\theta }_1{\theta }_2+({\theta }_2-{\theta }_1){(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_1^2{\theta }_2^2)$; ${\pi }_2^{FFs*}={(12\beta {\theta }_1{\theta }_2+({\theta }_1-{\theta }_2){(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_1^2{\theta }_2^2)$;
(F, E)	$e_1^{s*}=(g\lambda +\varphi )/(2{\theta }_1)$; $p_{f1}^{s*}=\varphi (2g\lambda +\varphi -{\theta }_1)/(3{\theta }_1)+(g^2{\lambda }^2-g\lambda {\theta }_1+3\beta {\theta }_1+c_e{\theta }_1+\delta {\theta }_1)/(3{\theta }_1)$; $p_{e2}^{s*}=\varphi (4{\theta }_1-\varphi -2g\lambda )/(12{\theta }_1)+(-g^2{\lambda }^2+4g\lambda {\theta }_1+12\beta {\theta }_1+8c_e{\theta }_1-4\delta {\theta }_1)/(12{\theta }_1)$; ${\pi }_1^{FEs*}={((-4g\lambda +12\beta +4c+4\delta -4\varphi ){\theta }_1+{(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_1^2)$; ${\pi }_2^{FEs*}={((4g\lambda +12\beta -4c-4\delta +4\varphi ){\theta }_1-{(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_1^2)$;
(E, F)	$e_2^{s*}=(g\lambda +\varphi )/(2{\theta }_2)$; $p_{f1}^{s*}=(g\lambda +3\beta +2c-\delta +\varphi )/3-{(g\lambda +\varphi )}^2/(12{\theta }_2)$; $p_{e2}^{s*}=(-g\lambda +3\beta +c+\delta -\varphi )/3+{(g\lambda +\varphi )}^2/(12{\theta }_2)$; ${\pi }_1^{EFs*}={((4g\lambda +12\beta -4c-4\delta +4\varphi ){\theta }_2-{(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_2^2)$; ${\pi }_2^{EFs*}={((-4g\lambda +12\beta +4c+4\delta -4\varphi ){\theta }_2+{(g\lambda +\varphi )}^2)}^2/(288\beta {\theta }_2^2)$;
(E, E)	$p_{e1}^{s*}=\beta +c_e;p_{e2}^{s*}=\beta +c_e$; ${\pi }_1^{EEs*}=\beta /2;{\pi }_2^{EEs*}=\beta /2.$