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Bootstrapping Fisher Market Equilibrium and First-Price Pacing Equilibrium

费舍尔市场均衡与一价拍卖预算调节均衡的自助法推断

The linear Fisher market (LFM) is a basic equilibrium model from economics, which also has applications in fair and efficient resource allocation. First-price pacing equilibrium (FPPE) is a model capturing budget-management mechanisms in first-price auctions. In certain practical settings such as advertising auctions, there is an interest in performing statistical inference over these models. A popular methodology for general statistical inference is the bootstrap procedure.…

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Statistical Inference and A/B Testing in Fisher Markets and Paced Auctions

Fisher 市场与预算节奏拍卖中的统计推断和 A/B 测试

We initiate the study of statistical inference and A/B testing for two market equilibrium models: linear Fisher market (LFM) equilibrium and first-price pacing equilibrium (FPPE). LFM arises from fair resource allocation systems such as allocation of food to food banks and notification opportunities to different types of notifications. For LFM, we assume that the data observed is captured by the classical finite-dimensional Fisher market equilibrium, and its steady-state…

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Interference Among First-Price Pacing Equilibria: A Bias and Variance Analysis

第一价格节奏均衡间的干扰:偏差与方差分析

Online A/B testing is widely used in the internet industry to inform decisions on new feature roll-outs. For online marketplaces (such as advertising markets), standard approaches to A/B testing may lead to biased results when buyers operate under a budget constraint, as budget consumption in one arm of the experiment impacts performance of the other arm. To counteract this interference, one can use a budget-split design where the budget constraint operates on a per-arm…

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