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arXiv 1005.4244cs.GT
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基于分数阶的贝叶斯激励相容性

Bayesian Incentive Compatibility via Fractional Assignments

Xiaohui Bei, Zhiyi Huang

摘要:

最近,Hartline和Lucier研究了贝叶斯环境下的单参数机制设计问题。他们提出了一种黑箱约简,将贝叶斯近似算法转换为贝叶斯激励兼容(BIC)机制,同时保留社会福利。它仍然是一个主要的悬而未决的问题,如果一个人可以找到类似的减少在更重要的多参数设置。本文在先验分布具有有限小支集的情况下,对这一问题给出了肯定的回答。我们提出了一个黑盒约简设计BIC多参数机构。该约简将任何算法转换为eps-BIC机制,仅具有社会福利的边际损失。因此,对于次可加代理的组合拍卖,我们得到了一个eps-BIC机制,实现常数近似。

英文摘要:

Very recently, Hartline and Lucier studied single-parameter mechanism design problems in the Bayesian setting. They proposed a black-box reduction that converted Bayesian approximation algorithms into Bayesian-Incentive-Compatible (BIC) mechanisms while preserving social welfare. It remains a major open question if one can find similar reduction in the more important multi-parameter setting. In this paper, we give positive answer to this question when the prior distribution has finite and small support. We propose a black-box reduction for designing BIC multi-parameter mechanisms. The reduction converts any algorithm into an eps-BIC mechanism with only marginal loss in social welfare. As a result, for combinatorial auctions with sub-additive agents we get an eps-BIC mechanism that achieves constant approximation.

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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