References & Citations
Economics > Theoretical Economics
Title: Nash implementation in a many-to-one matching market
(Submitted on 23 May 2023 (v1), last revised 26 Apr 2024 (this version, v3))
Abstract: In a many-to-one matching market, we analyze the matching game induced by a stable rule when firms' choice function satisfy substitutability. We show that any stable rule implements the individually rational correspondence in Nash equilibrium when both sides of the market play strategically. Moreover, when only workers play strategically and firms' choice functions satisfy the law of aggregate demand, we show that the firm-optimal stable rule implements the stable correspondence in Nash equilibrium.
Submission history
From: Noelia Juarez [view email][v1] Tue, 23 May 2023 11:32:18 GMT (16kb)
[v2] Mon, 2 Oct 2023 14:37:41 GMT (16kb)
[v3] Fri, 26 Apr 2024 15:50:54 GMT (17kb)
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