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This formula models the dynamic process of inflation under the assumption of adaptive expectations. It states that the inflation rate in the current period ($\pi_t$) is the sum of the previous period's inflation rate ($\pi_{t-1}$) and the bargaining gap in the current period ($\text{gap}_t$). The equation is: $\pi_t = \pi_{t-1} + \text{gap}_t$. This mathematically represents how inflation evolves when expectations are based on past experience.

Formula for Inflation with Adaptive Expectations

Assuming an economy's inflation is determined by the previous period's inflation rate plus the current period's bargaining gap, calculate the inflation rate for Year 1 and Year 2 based on the scenario below. Briefly explain the mechanism driving the change.

Inflation Dynamics in a Recession

An economy is operating with a bargaining gap of -1.5%. If the inflation rate in the previous year was 3%, what would the inflation rate be in the current year, assuming expectations are formed adaptively?

An economy's inflation is modeled by the principle that the current inflation rate is the sum of the previous period's inflation rate and the current period's bargaining gap. Starting from a period of stable inflation, arrange the following events into a logical sequence.

An economic model suggests that the current period's inflation rate is determined by the previous period's inflation rate plus the current period's bargaining gap. Based on this model, explain the specific condition required for the inflation rate to remain constant from one period to the next, and describe the economic reasoning for why this condition leads to stable inflation.

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