Formula

Phillips Curve Equation with Adaptive Expectations

The Phillips curve equation, which states that inflation is the sum of expected inflation and the bargaining gap (πt=πtE+gapt\pi_t = \pi_t^E + \text{gap}_t), can be specified for the case of adaptive expectations. Under this assumption, economic agents form their expectation of inflation based on the previous period's inflation rate, meaning πtE=πt1\pi_t^E = \pi_{t-1}. Substituting this into the general equation yields the formula: πt=πt1+gapt\pi_t = \pi_{t-1} + \text{gap}_t This equation demonstrates that current inflation depends on past inflation and the current bargaining gap, providing a mathematical basis for the wage-price spiral and accelerating inflation when a positive bargaining gap persists.

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Updated 2025-09-15

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