We derive an aggregation result in economies with indivisible labor supply choices and frictional labor markets, obtaining a tractable model of gross worker flows in aggregate labor markets with search frictions. Our result explores the fact that economies with non-convex choice sets and idiosyncratic shocks allow for sunspot equilibria à la Kehoe et al. (2002). We use comparative steady state analysis to demonstrate the applicability of our aggregation result. Our framework reconciles the neoclassical growth model with search frictions with a mildly procyclical participation rate and matches the gross worker flows underpinning those dynamics.

我们推导出具有不可分割的劳动力供应选择和摩擦劳动力市场的经济体的聚合结果，获得具有搜索摩擦的总劳动力市场中总劳动力流动的易于处理的模型。我们的结果探讨了这样一个事实，即具有非凸选择集和特殊冲击的经济体允许太阳黑子均衡 à la Kehoe 等人。(2002)。我们使用比较稳态分析来证明我们的聚合结果的适用性。我们的框架将新古典增长模型与搜索摩擦与温和的顺周期性参与率相协调，并与支撑这些动态的总工人流动相匹配。