A large differentiated oligopoly yields inefficient market equilibria. An authority with imprecise information about the primitives of the market aims to design tax/subsidy interventions that increase efficiency robustly, i.e., with high probability. We identify a condition on demand that guarantees the existence of such interventions, and we show how to construct them using noisy estimates of demand complementarities and substitutabilities across products. The analysis works by deriving a novel description of the incidence of market interventions in terms of spectral statistics of a Slutsky matrix. Our notion of recoverable structure ensures that parts of the spectrum that are useful for the design of interventions are statistically recoverable from noisy demand estimates.

翻译：大型差异化寡头垄断会导致市场均衡效率低下。一个对市场基本要素信息掌握不精确的监管机构，旨在设计能够稳健（即以高概率）提高效率的税收/补贴干预措施。我们确定了一个关于需求的条件，该条件保证了此类干预措施的存在性，并展示了如何利用对产品间需求互补性和替代性的噪声估计来构建这些干预措施。该分析通过推导出基于斯卢茨基矩阵谱统计量的市场干预效应的一种新颖描述来实现。我们提出的可恢复结构概念确保了对于干预设计有用的部分谱，能够从噪声需求估计中统计地恢复出来。