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lectures/mccall_model.md

Lines changed: 10 additions & 10 deletions
Original file line numberDiff line numberDiff line change
@@ -465,8 +465,8 @@ def compute_reservation_wage(
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v = v_next
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i += 1
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468-
res_wage = (1 - β) * (c + β * v @ q)
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return v, res_wage
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w_bar = (1 - β) * (c + β * v @ q)
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return v, w_bar
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```
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The cell computes the reservation wage at the default parameters
@@ -475,8 +475,8 @@ The cell computes the reservation wage at the default parameters
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model = McCallModel()
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c, β, w, q = model
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v_init = w / (1 - β) # initial guess
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v, res_wage = compute_reservation_wage(model, v_init)
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print(res_wage)
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v, w_bar = compute_reservation_wage(model, v_init)
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print(w_bar)
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```
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### Comparative Statics
@@ -569,8 +569,8 @@ def compute_res_wage_jitted(
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final_state = jax.lax.while_loop(cond, update, initial_state)
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v, i, error = final_state
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572-
res_wage = (1 - β) * (c + β * v @ q)
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return v, res_wage
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w_bar = (1 - β) * (c + β * v @ q)
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return v, w_bar
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```
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Now we compute the reservation wage at each $c, \beta$ pair.
@@ -587,9 +587,9 @@ v_init = model.w / (1 - model.β)
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for i, c in enumerate(c_vals):
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for j, β in enumerate(β_vals):
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model = McCallModel(c=c, β=β)
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v, res_wage = compute_res_wage_jitted(model, v_init)
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v, w_bar = compute_res_wage_jitted(model, v_init)
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v_init = v
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res_wage_matrix[i, j] = res_wage
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res_wage_matrix[i, j] = w_bar
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fig, ax = plt.subplots()
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cs1 = ax.contourf(c_vals, β_vals, res_wage_matrix.T, alpha=0.75)
@@ -917,8 +917,8 @@ res_wages_volatility = []
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for σ in σ_vals:
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μ = compute_μ_for_mean(σ, mean_wage)
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model = create_mccall_continuous(σ=float(σ), μ=float(μ))
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res_wage = compute_reservation_wage_continuous(model)
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res_wages_volatility.append(res_wage)
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w_bar = compute_reservation_wage_continuous(model)
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res_wages_volatility.append(w_bar)
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res_wages_volatility = jnp.array(res_wages_volatility)
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```

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