Template-Type: ReDIF-Paper 1.0 Title: Existence of a Non-Stationary Equilibrium in Search-And-Matching Models: TU and NTU Author-Name: Christopher Sandmann Author-Email: c.sandmann@Ise.ac.uk Author-Name: Nicolas Bonneton Author-Email: nicolas.bonneton@gmail.com Classification-JEL: L31, L15, D91 Keywords: equilibrium existence, search and matching, non-stationary, mean-field game Abstract: 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 non-transferable utility. We suggest that our proof strategy applies more broadly to a class of continuous-time, infinite-horizon models with a continuum of heterogeneous agents, also referred to as mean-field games, that evolve deterministically over time. Note: Length: 45 Creation-Date: 2023-05 Revision-Date: File-URL: https://www.crctr224.de/research/discussion-papers/archive/dp427 File-Format: application/pdf Handle: RePEc:bon:boncrc:CRCTR224_2023_427