A continuum model as a limit of large finite matching markets
研究了随机抽取的有限经济体的稳定匹配是否随样本量增大而收敛到连续统经济的稳定匹配，提出了保证收敛的“丰富偏好”条件及弱条件下的近似收敛结果。
The continuum matching model has been instrumental in the studies of finite economies. Yet, there is limited theoretical justification on whether and when a continuum model approximates large finite problems. In this paper, I study the following question: if we randomly sample finite economies from some distribution, will the stable assignments of these finite economies converge to a stable assignment of the continuum economy as we increase the sample size? I provide a simple condition, which I call rich preferences, that guarantees the convergence. I also provide approximate convergence results under weaker conditions.