Table 4 The impact of coefficient \(v\) under the low-carbon product strategy.

From: Interaction between product strategy selection and the carbon quota allocation policy

 

Impact

Product sales quantity

\({{\partial D_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial D_{L}^{B} *} {\partial v > 0}}} \right. \kern-0pt} {\partial v > 0}}\) if \(k < k_{1}\); \({{\partial D_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial D_{L}^{B} *} {\partial v < 0}}} \right. \kern-0pt} {\partial v < 0}}\) if \(k > k_{2}\)

Carbon emission reduction level

\({{\partial e_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial e_{L}^{B} *} {\partial v > 0}}} \right. \kern-0pt} {\partial v > 0}}\), if \(k < k_{2}\); \({{\partial e_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial e_{L}^{B} *} {\partial v < 0}}} \right. \kern-0pt} {\partial v < 0}}\), if \(k > k_{2}\)

Firm’s profit

\({{\partial \pi_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial \pi_{L}^{B} *} {\partial v > 0}}} \right. \kern-0pt} {\partial v > 0}}\) if \(k < k_{2}\); \({{\partial \pi_{L}^{B} *} \mathord{\left/ {\vphantom {{\partial \pi_{L}^{B} *} {\partial v < 0}}} \right. \kern-0pt} {\partial v < 0}}\) if \(k > k_{2}\)

Social welfare

\({{\partial SW^{B} *} \mathord{\left/ {\vphantom {{\partial SW^{B} *} {\partial v > 0}}} \right. \kern-0pt} {\partial v > 0}}\), if \(k < k_{1}\); \({{\partial SW^{B} *} \mathord{\left/ {\vphantom {{\partial SW^{B} *} {\partial v < 0}}} \right. \kern-0pt} {\partial v < 0}}\), if \(k > k_{1}\)