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4 changes: 2 additions & 2 deletions .translate/state/career.md.yml
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source-sha: a4fbd8653600ac99163bfd5d4f7d98c1e613042e
synced-at: "2026-07-26"
source-sha: 0d8ef6103a5a1a5a340dc3bbddb8899a07645b09
synced-at: "2026-10-22"
model: claude-sonnet-5
mode: UPDATE
section-count: 4
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4 changes: 2 additions & 2 deletions .translate/state/harrison_kreps.md.yml
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source-sha: 01e6f828d55d38d1ec82684b24fbb4e2a943de30
synced-at: "2026-08-05"
source-sha: 15d4f054f7663e4e6d9745d25636357526da8514
synced-at: "2026-10-22"
model: claude-sonnet-5
mode: UPDATE
section-count: 4
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4 changes: 2 additions & 2 deletions .translate/state/jv.md.yml
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source-sha: a4fbd8653600ac99163bfd5d4f7d98c1e613042e
synced-at: "2026-07-26"
source-sha: 0d8ef6103a5a1a5a340dc3bbddb8899a07645b09
synced-at: "2026-10-22"
model: claude-sonnet-5
mode: UPDATE
section-count: 5
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4 changes: 2 additions & 2 deletions .translate/state/likelihood_bayes.md.yml
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source-sha: 07975d502f57b29b4aa331a71c0afa6809dee369
synced-at: "2026-08-19"
source-sha: 06c784f5e5939bd1379adeb2289488d84dfa7c8d
synced-at: "2026-10-22"
model: claude-sonnet-5
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section-count: 8
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4 changes: 2 additions & 2 deletions .translate/state/mccall_q.md.yml
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source-sha: 46cf999fa492255058c67e132b99735a7cb5fbaa
synced-at: "2026-08-05"
source-sha: 0d8ef6103a5a1a5a340dc3bbddb8899a07645b09
synced-at: "2026-10-22"
model: claude-sonnet-5
mode: UPDATE
section-count: 7
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4 changes: 2 additions & 2 deletions .translate/state/odu.md.yml
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source-sha: 78030a3a27f6527046675bcd8a8d27995ca25af6
synced-at: "2026-07-18"
source-sha: 0d8ef6103a5a1a5a340dc3bbddb8899a07645b09
synced-at: "2026-10-22"
model: claude-sonnet-5
mode: RESYNC
section-count: 12
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11 changes: 7 additions & 4 deletions lectures/harrison_kreps.md
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Expand Up @@ -292,11 +292,14 @@ def price_single_beliefs(transition, dividend_payoff, β=.75):
"""
求解单一信念的函数
"""
# 首先计算逆矩阵部分
imbq_inv = la.inv(np.eye(transition.shape[0]) - β * transition)
# 首先计算 (I - βQ)
A = np.eye(transition.shape[0]) - β * transition

# 接下来计算价格
prices = β * imbq_inv @ transition @ dividend_payoff
# 接下来计算 βQd
b = β * (transition @ dividend_payoff)

# 求解线性方程组
prices = la.solve(A, b)

return prices
```
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