With the continuous increase of carbon emissions and the deterioration of environment, governments have passed various laws and regulations to force enterprises to take carbon emission abatement measures. As one of the regulations, carbon tax plays an important and positive role in environmental protection. For enterprises, the allocation of carbon emission abatement is a common means to promote emission reduction. In this paper, under the uncertain market demand, the option contract is adopted to study the retailer's optimal retail price and order quantity, as well as the manufacturer's optimal ratio of total carbon emission abatement and production quantity under the carbon tax. In addition, We analyze the optimal decisions and expected profits of supply chain members with respect to the carbon tax, total carbon emission abatement and option prices by analytical and numerical study, and find that (1) when the carbon tax increases, the optimal ratio of total carbon emission abatement and the optimal retail price increase, while the optimal order and production quantity decrease, which is contrary to the situation of the total carbon emission abatement; (2) when the option prices increase, the optimal retail price increases while the ratio of total carbon emission abatement and the optimal order and production quantity decrease; (3) the expected profits of the manufacturer and retailer show the same trend with the increase of carbon tax and total carbon emission abatement, while have the opposite trend with the increase of option prices. INDEX TERMS Supply chain management, optimization, sustainable development, carbon tax, contacts, option contract.

In this article, we study the distribution, ordering, and pricing strategies when the supplier has a limited output and the retailer has substitute suppliers in a fresh agricultural product supply chain. The Stackelberg game method is adopted to study the optimal strategy of suppliers and retailers with suppliers as the leader and retailers as the follower. The results show that the wholesale price and selling price of suppliers are related to the price of substitutes and the substitution rate, the wholesale price and online selling price increase when the retailer introduces high-quality substitutes. When substitutes exist, the supplier is willing to distribute more fresh agricultural products to retailers. As the substitution rate increases, suppliers are willing to distribute more quantities. Therefore, retailers should choose more suppliers and fresh agricultural products with a higher substitution rate.

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