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This study aims to design a blockchain-based green electricity trading mechanism for industrial park energy internet (PEI) systems, enhancing the efficiency and transparency of green electricity transactions. First, the core technologies of blockchain are introduced. Building upon this foundation, the study further explores the architectural framework for a blockchain-based green electricity trading system, designing a trading mechanism that integrates weakly centralised management, a blockchain layer, and smart contracts. This mechanism employs high-speed asynchronous consensus and smart contract technology to address the inflexibility of overly centralised traditional power trading. It effectively mitigates security vulnerabilities inherent in decentralised blockchains by reinforcing weak centralised management. To address electricity pricing negotiations between heterogeneous entities, a bargaining game model is constructed between the park energy operator and electricity users, analysing pricing strategies under revenue equilibrium conditions. Finally, the proposed transaction model and game model are validated through a case study of an energy internet in a demonstration park in Jiangsu province. The green electricity trading mechanism and game model presented herein enable efficient, economical, and secure processing of green electricity transaction information and data, thereby advancing the development of energy internet systems. • A trading mechanism that integrates weakly centralised management. • High-speed asynchronous consensus and smart contract technology. • A bargaining game model is constructed between the park energy operator and electricity users. • Validating the effectiveness of the energy internet case model through Jiangsu Province's demonstration zones.