Formula

Reservation Wage as an Average Over a Planning Horizon

To calculate an individual's reservation wage, one must determine the total expected value of their reservation option over a specific planning period. This calculation relies on averages because key factors, such as the exact duration of unemployment and the precise wage of a future job, are uncertain. The value is composed of two parts: the utility received during the expected period of unemployment (e.g., b+aMb + a^M for jj weeks) and the utility from the new job they expect to find for the remainder of the period (e.g., vv for hjh - j weeks). The reservation wage (wrw_r) is then defined as the average of this total value, calculated by dividing it by the total length of the planning horizon (hh). This is expressed by the formula: wr=j(b+aM)+(hj)vhw_r = \frac{j(b+a^M) + (h-j)v}{h} Where: - jj is the expected number of weeks unemployed. - b+aMb+a^M is the weekly utility while unemployed (unemployment benefit plus individual-specific utility). - hjh-j is the remaining number of weeks in the planning horizon, spent employed. - vv is the net utility from the new job. - hh is the total length of the planning horizon in weeks.

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Updated 2026-06-28

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