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How Pervasive Is the Myerson-Satterthwaite Impossibility?

机译:迈尔森-萨特斯韦特的可能性有多普遍?

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The Myerson-Satterthwaite theorem is a founda-tional impossibility result in mechanism design which states that no mechanism can be Bayes-Nash incentive compatible, individually rational, and not run a deficit. It holds universally for priors that are continuous, gapless, and overlapping. Using automated mechanism design, we investigate how often the impossibility occurs over discrete valuation domains. While the impossibility appears to hold generally for settings with large numbers of possible valuations (approaching the continuous case), domains with realistic valuation structure circumvent the impossibility with surprising frequency. Even if the impossibility applies, the amount of subsidy required to achieve individual rationality and incentive compatibility is relatively small, even over large unstructured domains.
机译:Myerson-Satterthwaite定理是机制设计中的一个基本不可能结果,该结果指出,任何机制都不能与Bayes-Nash激励相容,个体理性且不存在缺陷。它普遍适用于连续,无间隙和重叠的先验。使用自动机制设计,我们调查了在离散评估域上发生不可能性的频率。虽然可能性似乎普遍适用于具有大量可能估值的环境(采用连续案例),但具有现实估值结构的域以令人惊讶的频率避开了可能性。即使存在这种可能性,即使在较大的非结构化领域,实现个人理性和激励相容性所需的补贴金额也相对较小。

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