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lines changed Original file line number Diff line number Diff line change @@ -169,10 +169,10 @@ c + \sum_{s'} \hat a(s') Q(s' | s)
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and also
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- \begin{align * }
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+ \begin{aligned }
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c & \geq 0, \\
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- \hat a(s') & \leq \bar A^i(s'), \hskip.5cm \forall s'.
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- \end{align * }
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+ \end{aligned }
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with the second constraint evidently being a set of state-by-state debt limits.
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@@ -1177,12 +1177,12 @@ $$
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Continuation wealths $\psi^k$ of consumer $k$ satisfy
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- \begin{align * }
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+ \begin{aligned }
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\psi_T^k & = \left[ \alpha_k y - y^k\right] \cr
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\psi_ {T-1}^k &= \left[ I + Q \right] \left[ \alpha_k y - y^k\right] \cr
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\vdots \quad & \quad \quad \quad \vdots \cr
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\psi_0^k & = \left[ I + Q + Q^2 + \cdots + Q^T \right] \left[ \alpha_k y - y^k\right]
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- \end{align * }
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+ \end{aligned }
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where
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