Abstract

Carbon tax is an emission regulation, which widely used to curb the carbon emissions generated from firms. In the context of carbon tax policy, firms need to determine an optimal carbon reduction level and optimal product prices. To address firms’ decision-making challenges, this paper considers a two-echelon supply chain consisting of a single manufacturer and a single retailer under carbon tax policy; it establishes a Stackelberg game model with a risk-averse retailer and a risk-neutral manufacturer who is the leader of the game. The paper studies the influence of the government’s carbon tax policy and retailer’s risk-averse attitude on the optimal decision of the supply chain. The result shows that when the retailer is risk aversion, the degree of risk aversion of the retailer is positively correlated with the wholesale price of the manufacturer and unit carbon emission reduction, and within a certain range of carbon emission reduction cost coefficient, it is positively correlated with the price of products; with the increase of the carbon tax rate imposed by the government, the retail price of unit products, the wholesale price of the manufacturer, and the carbon emission reduction of unit products also increase. Finally, the results are verified by numerical examples.

Highlights

  • (1) What are the optimal decisions of the manufacturer and retailer in the case of risk neutrality and risk averse?

  • (3) What is the relationship between the carbon tax rate and the optimal retail price, wholesale price, and unit carbon emission reduction?

  • This research integrates the retailer’s risk aversion into the green supply chain models and explores how the retailer’s risk aversion characteristics affect the optimal decision of the supply chain, which enriches the theory of green supply chain management

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Summary

Literature Review

The literature on the carbon tax policy and the impact of risk aversion characteristics is growing. Choi et al [23] analyzed the optimal pricing decisions in a mass customization supply chain with one risk-averse manufacturer and two risk-averse competing retailers and focused on exploring how the degree of risk aversion of each supply chain agent affects the optimal prices as well as consumer welfare, supply chain profitability, and credit deposit under a competitive setting Wang and He [24] compared the supply chain performances of the case under risk neutrality and risk aversion and investigated the impact of risk aversion of the supplier and the manufacturers and the low-carbon supply chain performances, respectively. Cannella et al [26] studied the impact of risk aversion on the supply chain and implied that a company facing problems of high inventory should favor low-risk aversion managers, as instrumental to lowering stock and improving net working capital

Model Assumptions
Model Construction and Analysis
Numerical Analysis
Proof of Theorem 1
Proof of Corollary 1
Proof of Corollary 2
Full Text
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