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arXiv 2403.08145cs.GTecon.TH
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最优拍卖中的算法信息披露

Algorithmic Information Disclosure in Optimal Auctions

Yang Cai, Yingkai Li, Jinzhao Wu

AI总结:

本文研究最优拍卖中信号结构与拍卖规则的联合设计问题,证明该问题为NP难,提出了收益损失至多为ε的PTAS算法,并证实提供部分信息可将收益保证至最优福利的1-1/e。

摘要:

本文研究一个联合设计问题:卖家既可以设计供智能体获知自身估值的信号结构,也可以设计物品出售的分配与支付规则。Myerson(1981)在其开创性工作中展示了如何设计信号外生的最优拍卖。我们证明,当卖家同时具备设计信号结构的能力时,该问题变为NP难问题。我们的核心结果是一种多项式时间近似方案(PTAS,polynomial-time approximation scheme),用于计算最优联合设计,其期望收益的乘法损失至多为ε。此外,我们表明在该联合设计问题中,卖家可通过提供部分信息显著降低智能体的信息租金,从而保证收益至少为所有估值分布下最优福利的1 - 1/e。

英文摘要:

This paper studies a joint design problem where a seller can design both the signal structures for the agents to learn their values, and the allocation and payment rules for selling the item. In his seminal work, Myerson (1981) shows how to design the optimal auction with exogenous signals. We show that the problem becomes NP-hard when the seller also has the ability to design the signal structures. Our main result is a polynomial-time approximation scheme (PTAS) for computing the optimal joint design with at most an $ε$ multiplicative loss in expected revenue. Moreover, we show that in our joint design problem, the seller can significantly reduce the information rent of the agents by providing partial information, which ensures a revenue that is at least $1 - \frac{1}{e}$ of the optimal welfare for all valuation distributions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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