From 9c54568578e006b0ddb7ee06596cf1359d504c9d Mon Sep 17 00:00:00 2001 From: pedrothe Date: Wed, 28 Oct 2020 09:48:24 -0400 Subject: [PATCH] Model:Bellman Slide Edited typo founf in class with epsilons --- Week 8- Single Agent Dynamics (Rust)/dynamics1.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Week 8- Single Agent Dynamics (Rust)/dynamics1.tex b/Week 8- Single Agent Dynamics (Rust)/dynamics1.tex index 2b95302..c0f5aca 100644 --- a/Week 8- Single Agent Dynamics (Rust)/dynamics1.tex +++ b/Week 8- Single Agent Dynamics (Rust)/dynamics1.tex @@ -168,8 +168,8 @@ \begin{eqnarray*} \tilde V_{\theta} (x_t, \varepsilon_t, i_t) &=& \left \{ \begin{array}{lr} -\tilde u(x_t, 1;\theta_1) + \beta EV(0, \varepsilon ') + \varepsilon_{t}(1) & \text{ if } i_t = 1 \\ -\tilde u(x_t , 0; \theta_1) + \beta E_{x', \varepsilon ' | x_t, \varepsilon_t, i_t} V(x', \varepsilon ') + \varepsilon_{t}(0) & \text{ if } i_t = 0 +\tilde u(x_t, 1;\theta_1) + \beta EV(0, \varepsilon ') & \text{ if } i_t = 1 \\ +\tilde u(x_t , 0; \theta_1) + \beta E_{x', \varepsilon ' | x_t, \varepsilon_t, i_t} V(x', \varepsilon ') & \text{ if } i_t = 0 \end{array} \right .\\ V_{\theta}(x_t,\varepsilon_t) &=& \max \left\{ \tilde V_{\theta} (x_t, \varepsilon_t, 1) + \varepsilon_{t}(1) ,\tilde V_{\theta} (x_t, \varepsilon_t, 0) + \varepsilon_{t}(0) \right\}