| | Notations | Definitions |
| | Decision variables | | | Green innovation effort of the green manufacturer | | Green innovation effort of the green supplier | | Parameters and other variables | | | , , | Pollutant emissions of green manufacturer, free-rider, and green supplier at time , with initial emissions , | | , | Technology spillovers of the green manufacturer and the supplier, and | | Natural mitigation rate, | | Market capacity | | , | Production volume | | Initial market share of green manufacturer, | | Green -sensitive coefficient, | | , , | Profit margin of green manufacturer, free-rider, and green supplier | | , | Cost parameter associated with green innovation efforts by green manufacturer and supplier, and | | Processing cost per unit of emissions | | Discount factor, | | , , | Instantaneous profit of green manufacturer, free-rider, and green supplier for |
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