Formula

Acceptance Probability (P(w)) in Terms of Unemployment Utility Distribution (Pα)

This formula establishes the relationship between the acceptance probability, P(w)P(w), and the cumulative distribution of unemployment utility, PαP_\alpha. The proportion of workers who accept a wage offer, ww, is equivalent to the proportion whose unemployment utility, α\alpha, is less than or equal to the threshold (wv)/τ+vb(w-v)/\tau + v - b. Mathematically, this is expressed as: P(w)=Pα(wvτ+vb)P(w) = P_\alpha\left(\frac{w-v}{\tau} + v - b\right).

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Updated 2026-05-02

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