Activity (Process)

Derivation of the Economy-Wide Wage-Setting Curve Equation

The economy-wide wage-setting curve equation is derived through an algebraic process that begins with the firm's no-shirking wage curve and incorporates the assumption that all firms are identical. The key step is substituting the endogenous outside option, where the expected utility from another job is v=wcv = w - c, into the initial equation: w=τ(b+aN)+(1τ)(wc)+c+rent(s,c)w = \tau(b + a^N) + (1 - \tau)(w - c) + c + \text{rent}(s,c). By expanding the terms and isolating ww, the equation is simplified to an intermediate form, τw=τ(b+aN+c)+rent(s,c)\tau w = \tau(b + a^N + c) + \text{rent}(s,c). Dividing by τ\tau yields the final economy-wide wage-setting curve: w=b+aN+c+rent(s,c)τ(u)w = b + a^N + c + \frac{\text{rent}(s,c)}{\tau(u)}.

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Updated 2026-05-02

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Introduction to Microeconomics Course

The Economy 2.0 Microeconomics @ CORE Econ

Ch.6 The firm and its employees - The Economy 2.0 Microeconomics @ CORE Econ

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