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本文研究制定与实施递增定价政策所需的信息和计算要求对连续递增定价机制执行问题的影响,着眼于递增阶梯定价替代连续递增定价的渐近有效性及其应用。对于任意的类型分布和分割方式,用n级递增阶梯定价替代连续递增定价所造成的修正性福利损失是n的平方倒数的同阶无穷小。增加阶梯定价的级数迅速降低福利损失,同时使实施阶梯定价所需的信息和计算要求急速提高,为满足这种高要求所付出的交易成本与福利损耗也迅速增加。鉴于级数增加所带来的福利损失节约与福利损耗增加两股力量的变动特性,递增阶梯定价的最优级数是一个相对较小的正整数。该结论从理论角度解释了现实中递增阶梯定价政策级数较少的合理性,还简化了最优递增阶梯定价机制设计研究。
This paper studies the influence of the information required for formulating and implementing the incremental pricing policy and the implementation requirements of the incremental incremental pricing mechanism on the enforcement of the incremental incremental pricing mechanism, and focuses on the asymptotic effectiveness of incremental incremental pricing as an alternative to continuous incremental pricing and its application. For any type distribution and partitioning method, the modified welfare loss caused by replacing the continuous incremental pricing with n-level incremental step-pricing is the same-order infinitesimal of the reciprocal of the square of n. Increasing the number of ladder pricing steps quickly reduces the benefit loss while rapidly increasing the information and computational requirements for implementing ladder pricing and transaction costs and welfare losses to meet such high demands are rapidly increasing. In view of the change characteristics of the two forces of welfare loss and welfare loss brought by the increase of series, the optimal series of incremental ladder pricing is a relatively small positive integer. This conclusion explains the rationality of the number of incremental ladder pricing policies in reality and simplifies the design of the optimal incremental ladder pricing mechanism theoretically.