Nowadays, the green supply chain has become an exciting concept in academic societies. This paper focuses on the optimal production decisions of two competing supply chains from the perspective of green degree. The manufacturers in each supply chain have two options—producing a green product or a non-green product. Game theory is applied to study four decision scenarios, which are derived from the difference in the products of the two supply chains. This study investigates the influence of inter-supply-chain competition on the wholesale price, green degree, and profits of the supply chain members. The results indicate that the inter-supply-chain competition has a negative correlation with the wholesale price. The inter-supply-chain competition has a significant impact on green degree in the four decision scenarios. In addition, green products are not always the dominant strategy of manufacturers. Both the competitors’ product decisions and the degree of inter-supply-chain competition should be considered. Finally, weak inter-supply-chain competition is beneficial to the leader supply chain, while strong competition is beneficial to the follower supply chain.
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