Abstract: In order to set the price of ship clean-up expenditure and take into account both the principles of equity and efficiency, this paper divides the risk rating according to the risk of ship pollution accident in port, and then apportions the allocation cost of port clean-up resources by simplified formula of Shapley value, to calculate the allocation cost shared by each ship per day. The results eliminate the effect of dynamic berthing on the cost apportionment and can be used as the theory basis for setting the price of the ship clean-up expenditure. The case indicates that the current standard is too high, and this result takes into account the principle of equity and efficiency, which meets the requirement of individual rationality, group rationality and coalition rationality.

Key words: ship clean-up expenditure, equity and efficiency, Shapley value, stability, cost apportionment

摘要： 针对我国港口船舶清污协议费的定价问题,兼顾公平与效率原则,在根据船舶在港口发生污染事故的风险水平划分其风险等级的基础上,运用Shapley值的简化公式对港口清污资源的总配置成本进行分摊,计算得出每艘船舶每天所需分摊的配置成本,消除了短期船舶靠泊的动态性对分摊结果的影响,是制订港口清污费费率征收标准的理论依据。算例分析结果表明现行船舶清污协议费征收标准过高,本文计算的分摊结果兼顾了公平与效率的原则,并且证明了其满足个体理性,集体理性以及联盟稳定性的要求。

关键词: 港口船舶清污协议费, 公平与效率, Shapley值, 稳定性, 成本分摊