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[BCG_complete_mkts] Replace np.sum(a * b) with a @ b #213

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Merged
mmcky merged 2 commits into from
Aug 5, 2025
Merged

[BCG_complete_mkts] Replace np.sum(a * b) with a @ b #213

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f6aff66
Replace np.sum(a * b) with a @ b
suda-yuga Jul 11, 2025
195b449
Merge branch 'main' into BCG_complete_mkts_npsum
mmcky Aug 5, 2025
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8 changes: 4 additions & 4 deletions lectures/BCG_complete_mkts.md
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Original file line number Diff line number Diff line change
Expand Up @@ -985,7 +985,7 @@ class BCG_complete_markets:
weights = self.weights
integ = lambda 𝜖: np.exp(𝜖) * fk * q(𝜖, k)

return -k + np.sum(weights * integ(self.points_integral)) / np.sqrt(np.pi)
return -k + (weights @ integ(self.points_integral)) / np.sqrt(np.pi)

#=========== Optimal c ===========#
# Function: Compute optimal consumption choices c
Expand All @@ -1007,10 +1007,10 @@ class BCG_complete_markets:
fk = self.f(k)

c1 = lambda 𝜖: (w1(𝜖) + np.exp(𝜖)*fk)*q(𝜖,k)
denom = np.sum(weights * c1(self.points_integral)) / np.sqrt(np.pi) + (w0 - k)
denom = (weights @ c1(self.points_integral)) / np.sqrt(np.pi) + (w0 - k)

w11q = lambda 𝜖: w11(𝜖)*q(𝜖,k)
num = w10 + 𝜃10 * V(k) + np.sum(weights * w11q(self.points_integral)) / np.sqrt(np.pi)
num = w10 + 𝜃10 * V(k) + (weights @ w11q(self.points_integral)) / np.sqrt(np.pi)

𝜂 = num / denom

Expand Down Expand Up @@ -1048,7 +1048,7 @@ def k_foc_factory(model):

@njit
def k_foc(k, 𝜒1, 𝜒2):
int_k = np.sum(weights * integrand(points_integral, 𝜒1, 𝜒2, k=k)) / np.sqrt(np.pi)
int_k = (weights @ integrand(points_integral, 𝜒1, 𝜒2, k=k)) / np.sqrt(np.pi)

mul = 𝛽 * 𝛼 * A * k ** (𝛼 - 1) / ((w0 - k) ** (-𝜓))
val = mul * int_k - 1
Expand Down
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