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lines changed Original file line number Diff line number Diff line change @@ -473,13 +473,13 @@ The two subproblems are designed
473473 the state variables confronting and the control variables available
474474 to the leader
475475
476- #### Subproblem 1
476+ ** Subproblem 1**
477477
478478$$
479479v(y_0) = \max_{(\vec y_1, \vec u_0) \in \Omega(y_0)} - \sum_{t=0}^\infty \beta^t r(y_t, u_t)
480480$$
481481
482- #### Subproblem 2
482+ ** Subproblem 2**
483483
484484$$
485485w(z_0) = \max_{x_0} v(y_0)
@@ -498,7 +498,7 @@ $z_0$.
498498
499499We now describe Bellman equations for $v(y)$ and $w(z_0)$.
500500
501- #### Subproblem 1
501+ ** Subproblem 1**
502502
503503The value function $v(y)$ in subproblem 1 satisfies the Bellman
504504equation
542542u_t = - F y_t
543543$$
544544
545- #### Subproblem 2
545+ ** Subproblem 2**
546546
547547We find an optimal $x_0$ by equating to zero the gradient of $v(y_0)$
548548with respect to $x_0$:
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