企业的碳配额由什么决定 考虑碳补贴和企业社会责任的三级供应链减排策略之

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今天小编为大家带来期刊论文《考虑碳补贴和企业社会责任的三级供应链减排策略》政府补贴下的分散决策模型（R 模型），

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Today, the editor brings you the decentralised decision-making model under government subsidies (R-model) of the journal paper "A three-tier supply chain emission reduction strategy considering carbon subsidies and corporate social responsibility"，

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内容提要

亲爱的读者大家好，今天小编将从思维导图、精读内容、知识补充三个板块为大家带来期刊论文《考虑碳补贴和企业社会责任的三级供应链减排策略》政府补贴下的分散决策模型（R 模型），快来跟随小编一起学习吧！

Hello dear readers, today I will bring you the decentralised decision-making model under government subsidies (R-model) of the journal paper "A three-tier supply chain emission reduction strategy considering carbon subsidies and corporate social responsibility" from the three sections of mind map, intensive reading content and knowledge supplement, come and follow me!

正文

01

思维导图

02

精读内容

上次已经介绍了政府补贴下的集中决策模型的求解，今天学习政府补贴下的分散决策模型（R 模型）的求解。

在政府补贴，零售商承担CSR行为时，制造商、零售商和社会福利的效用函数为：

The solution of the centralised decision model under government subsidies was introduced last time, and today we learn the solution of the decentralised decision model (R model) under government subsidies.

With government subsidies and retailers assuming CSR behaviour, the utility functions for manufacturers, retailers and social welfare are:

同样采用逆向归纳法求解，首先对零售商效用函数中的价格p求一阶偏导并令其为0，可得到最优销售价格。将最优销售价格代入到制造商效用函数中，求产品批发价格和单位产品碳排放量的海瑟矩阵HR，HR大于0，为负定，则代表产品批发价格和单位产品碳排放量有极大值。对其求一阶偏导并令其为0，可得出最优值函数，继而得出最优销售价格函数。再将最优销售价格代入到社会福利效用函数中，求最优碳补贴排放的值。

基于以上计算，将最后得出的最优碳补贴排放的值代入到上述过程中求得的最优产品批发价格、最优单位产品碳排放量和最优销售价格函数中，可得到最优决策。

The optimal sales price is obtained by first taking the first-order partial derivative of the price p in the retailer's utility function and making it zero. The optimal sales price is then substituted into the manufacturer's utility function to find the Hessian matrix HR of the wholesale price of the product and the carbon emissions per unit of the product. The optimal value function can be derived by taking the first order partial derivative and making it zero, which in turn leads to the optimal sales price function. The optimal sales price is then substituted into the social welfare utility function to find the value of optimal carbon allowance emissions.

Based on the above calculations, the optimal carbon allowance emissions are then substituted into the optimal wholesale price, optimal carbon emissions per unit of product and optimal sales price functions obtained in the above process to obtain the optimal decision.

03

知识补充

黑塞矩阵（HessianMatrix），又译作海森矩阵、海瑟矩阵、海塞矩阵等，是一个多元函数的二阶偏导数构成的方阵，描述了函数的局部曲率。

The HessianMatrix, also translated as Hessian matrix, Hessian matrix, Hessian matrix, etc., is a square matrix composed of the second order partial derivatives of a multivariate function that describes the local curvature of the function.

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参考资料：Deepl翻译

参考文献：江佳秀,何新华,胡文发.考虑碳补贴和企业社会责任的三级供应链减排策略[J].系统工程,2022,40(01):97-106.

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