“…First, we show that the transition probability matrix of inventory levels identifies the unobserved Poisson rates of matching in both markets at each inventory level
, fully determining the pattern of dealers' inventory transition. Our approach resembles the standard approach in the labor search literature (see, e.g., Menzio and Shi,
2011 and Guo,
2018 where the state variable is workers' employment status). However, unlike the employment status that switches infrequently, an intermediary's state is the inventory level, which may increase or decrease quickly.…”