论文标题

具有等级的多维机制:相同对象和异构对象模型之间的等效性

Rank-preserving Multidimensional Mechanisms: an equivalence between identical-object and heterogeneous-object models

论文作者

Bikhchandani, Sushil, Mishra, Debasis

论文摘要

我们表明,向具有前对称和加性值的买家出售多个,异质物体的垄断者的机理设计问题等同于机理设计问题,用于将相同对象销售给买方的垄断者的机制问题。我们为相同的对象模型得出了三个新的结果:(i)一种随机机制的收入单调性的新条件,(ii)对先验的足够条件,使得最佳确定性机制中的价格没有上涨,并且(iii)简化了确定性机制的激励性约束。我们使用等效性在异质对象模型中建立相应的结果。

We show that the mechanism-design problem for a monopolist selling multiple, heterogeneous objects to a buyer with ex ante symmetric and additive values is equivalent to the mechanism-design problem for a monopolist selling identical objects to a buyer with decreasing marginal values. We derive three new results for the identical-objects model: (i) a new condition for revenue monotonicity of stochastic mechanisms, (ii) a sufficient condition on priors, such that prices in optimal deterministic mechanism are not increasing, and (iii) a simplification of incentive constraints for deterministic mechanisms. We use the equivalence to establish corresponding results in the heterogeneous-objects model.

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