In evaluating social programs, it is important to measure treatment effects within a market economy, where interference arises due to individuals buying and selling various goods at the prevailing market price. We introduce a stochastic model of potential outcomes in market equilibrium, where the market price is an exposure mapping. We prove that average direct and indirect treatment effects converge to interpretable mean-field treatment effects, and provide estimators for these effects through a unit-level randomized experiment augmented with randomization in prices. We also provide a central limit theorem for the estimators that depends on the sensitivity of outcomes to prices. For a variant where treatments are continuous, we show that the sum of direct and indirect effects converges to the total effect of a marginal policy change. We illustrate the coverage and consistency properties of the estimators in simulations of different interventions in a two-sided market.
翻译:在评估社会方案时,必须衡量市场经济中的治疗效果,因为市场经济中因个人以市场价格购买和销售各种商品而引起干扰。我们采用市场平衡潜在结果的随机模型,市场价格是风险绘图。我们证明,平均直接和间接治疗效应会与可解释的中场治疗效应相汇合,并通过单位一级随机试验和价格随机化而增加,为这些效应提供估计。我们还为取决于结果对价格的敏感性的估测者提供了一个中心限值。对于治疗持续进行的一种变异,我们表明直接和间接效果的总和与边缘政策变化的总效果是一致的。我们展示了两个市场不同干预模拟中估测者的覆盖面和一致性特性。