Existence of a non‐stationary equilibrium in search‐and‐matching models: TU and NTU
证明了经典搜索匹配模型在异质性主体下非平稳均衡的存在性，适用于可转移和不可转移效用两种范式，对研究劳动力市场动态的学者有参考价值。
This paper proves the existence of a non‐stationary equilibrium in the canonical search‐and‐matching model with heterogeneous agents. Non‐stationarity entails that the number and characteristics of unmatched agents evolve endogenously over time. An equilibrium exists under minimal regularity conditions and for both paradigms considered in the literature: transferable and nontransferable utility. To address potential discontinuities in match opportunities across types, our analysis introduces a generalized Schauder fixed‐point theorem suitable for models with discontinuous value functions.