Abstract: The paper constructs a model for negotiating supply chain contract based on bi-level programming,and proposes solution method based on fuzzy theory.Taking the optimal price-discount contracts for example,three contract-making strategies are studied:Stackelberg game,centralization-based cooperation,and negotiation-based cooperation.The data comparing and analysis shows that strategy of negonation-based cooperation is better then others for its good effect and high applicability.

Key words: supply chain contract, bi-level programming, Stackelberg game, negotiating