. 2018 Apr 13;15(4):750. doi: 10.3390/ijerph15040750

Table 2.

Notations in the models.

j	Case j, j = A1, A2, B1, B2
$D_{j}$	Demand for Case j
$Δ e_{s}^{j}$	Manufacturer’s carbon emission reduction per product for case j
$Δ e_{r}^{j}$	Retailer’s carbon promotional effort level per product for case j
$a$	Initial demand for the product when there is no carbon emission reduction and carbon promotional effort
$v_{s}$	Coefficient of manufacturer’s carbon emission reduction on increasing the demand, $v_{s} > 0$
$v_{r}$	Coefficient of retailer’s carbon promotional effort on increasing the demand, $v_{r} > 0$
$C_{s}^{j}$	Manufacturer’s carbon emission reduction cost
$C_{r}^{j}$	Retailer’s promotional cost
$k_{s}$	Manufacturer’s coefficient of carbon emission reduction cost, $k_{s} > 0$
$k_{r}$	Retailer’s coefficient of promotional effort cost, $k_{r} > 0$
$ρ_{s}$	Manufacturer’s marginal revenue of the product
$ρ_{r}$	Retailer’s marginal revenue of the product
$E_{s}$	Manufacturer’s carbon emission cap
$e_{s}$	Manufacturer’s initial emissions per product
$c_{p}$	Carbon trading price
$B$	Manufacturer’s owed specialized capital for carbon emission reduction
$r$	Interest rate of greening financing
$θ$	Cost sharing for the manufacturer’s emissions reduction, $θ \geq 0$
$π_{s}^{j}$	Manufacturer’s profit for case j
$π_{r}^{j}$	Retailer’s profit for case j