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The market will set wages:
<math>w_{t}(y^{t-1})=\mathbb{BE}[y_{t}|y^{t-1}]=\mathbb{BE}[\eta |y^{t-1}]+a_{t}(y^{t-1})\,</math>
The manager will best respond by choice an effort sequence:
<math>\underset{\{a_{t}(y^{t-1})\}_{t=1}^{\infty }}{\max }\;\sum_{t=1}^{\infty}\beta ^{t-1}[\mathbb{BE}w_{t}(y^{t-1})-\mathbb{BE}g(a_{t}(y^{t-1}))]\,</math>
===Two Period Model===
Wages are paid in advance so in the second period the agent exerts no effort. In equilbrium <math>a_{1}^{*}\,</math> is correctly anticipated.
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