Causation

Conditions for a Unique Steady-State Wage

A unique wage (ww) that satisfies the steady-state equation (mP(w)=qNmP(w) = qN) is generally guaranteed. This is because the number of hires, mP(w)mP(w), is an increasing function of the wage, while the number of quits, qNqN, is constant for a given workforce size. An increasing function typically intersects a constant at only one point. However, this guarantee has an exception: if the quit rate (qq) is extremely high and the number of suitable weekly matches (mm) is very low, a solution may not exist. In this scenario, even if the firm offers a wage so high that every applicant accepts (P(w)=1P(w)=1), the maximum number of hires (mm) would still be insufficient to replace the number of workers who quit (qNqN).

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Updated 2026-05-02

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