Two-sided marketplace platforms often run experiments to test the effect of an intervention before launching it platform-wide. A typical approach is to randomize individuals into the treatment group, which receives the intervention, and the control group, which does not. The platform then compares the performance in the two groups to estimate the effect if the intervention were launched to everyone. We focus on two common experiment types, where the platform randomizes individuals either on the supply side or on the demand side. The resulting estimates of the treatment effect in these experiments are typically biased: because individuals in the market compete with each other, individuals in the treatment group affect those in the control group and vice versa, creating interference. We develop a simple tractable market model to study bias and variance in these experiments with interference. We focus on two choices available to the platform: (1) Which side of the platform should it randomize on (supply or demand)? (2) What proportion of individuals should be allocated to treatment? We find that both choices affect the bias and variance of the resulting estimators but in different ways. The bias-optimal choice of experiment type depends on the relative amounts of supply and demand in the market, and we discuss how a platform can use market data to select the experiment type. Importantly, we find in many circumstances, choosing the bias-optimal experiment type has little effect on variance. On the other hand, the choice of treatment proportion can induce a bias-variance tradeoff, where the bias-minimizing proportion increases variance. We discuss how a platform can navigate this tradeoff and best choose the treatment proportion, using a combination of modeling as well as contextual knowledge about the market, the risk of the intervention, and reasonable effect sizes of the intervention.
翻译:双面的市场平台通常会进行实验,测试干预的效果,然后在全平台启动之前测试其影响。 典型的方法是随机地将个人纳入治疗组, 接受干预, 以及控制组, 而不是。 平台然后比较两个组的绩效, 以估计干预向所有人启动后的效果。 我们侧重于两种共同的实验类型, 平台在供应方或需求方将个人随机地分解到供应方或需求方。 这些实验的治疗效果估计通常有偏差: 因为市场中的个人相互竞争, 治疗组中的个人会影响控制组的人, 反之, 造成干扰。 我们开发一个简单的可移植的市场模型, 研究这些实验中的偏差和差异。 我们侧重于平台的两种选择:(1) 平台的哪一边是随机的(供应或需求)? (2) 个人的比例应该被分配用于治疗? 我们发现, 两种选择会影响结果估计的偏差和差异, 但是以不同的方式。 实验型的种类的偏差类型取决于市场中供应和需求的相对数量, 我们选择了市场中的最佳选择的偏差比例, 我们如何选择了模型, 选择了市场中的一种模型, 选择了其他的偏差。