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6 changes: 6 additions & 0 deletions .translate/state/ge_arrow.md.yml
Original file line number Diff line number Diff line change
@@ -0,0 +1,6 @@
source-sha: eb30e4fa25c462a5875670e623b2ec01b6f9c727
synced-at: "2026-07-18"
model: claude-sonnet-5
mode: RESYNC
section-count: 9
tool-version: 0.17.0
34 changes: 31 additions & 3 deletions lectures/ge_arrow.md
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,35 @@ kernelspec:
display_name: Python 3 (ipykernel)
language: python
name: python3
translation:
title: 带有阿罗证券的竞争均衡
headings:
Introduction: 引言
The setting: 设定
The setting::Preferences and endowments: 偏好和禀赋
Recursive Formulation: 递归表述
State Variable Degeneracy: 状态变量退化
Markov Asset Prices: 马尔可夫资产价格
Markov Asset Prices::Exogenous Pricing Kernel: 外生定价核
Markov Asset Prices::Multi-Step-Forward Transition Probabilities and Pricing Kernels: 多步前向转移概率和定价核
Markov Asset Prices::Laws of Iterated Expectations and Iterated Values: 迭代期望法则和迭代值法则
General Equilibrium: 一般均衡
General Equilibrium::Inputs: 输入
General Equilibrium::Outputs: 输出
General Equilibrium::$Q$ is the Pricing Kernel: $Q$ 是定价核
General Equilibrium::Values: 数值
General Equilibrium::Continuation Wealth: 延续财富
General Equilibrium::Optimal Portfolios: 最优投资组合
General Equilibrium::Equilibrium Wealth Distribution $\alpha$: 均衡财富分布 $\alpha$
Finite Horizon: 有限期限
Finite Horizon::Continuation Wealths: 延续财富
Python Code: Python代码
Examples: 示例
Examples::Example 1: 示例 1
Examples::Example 2: 示例 2
Examples::Example 3: 示例 3
Examples::Example 4: 示例 4
Examples::Finite Horizon Example: 有限期限示例
---

# 带有阿罗证券的竞争均衡
Expand Down Expand Up @@ -854,15 +883,15 @@ class RecurCompetitive:
def price_risk_free_bond(self):
"给定Q,计算一期无风险债券价格"

PRF = np.sum(self.Q, 0)
PRF = np.sum(self.Q, axis=1)
self.PRF = PRF

return PRF

def risk_free_rate(self):
"给定Q,计算一期无风险利率R"

R = np.sum(self.Q, 0)
R = np.sum(self.Q, axis=1)
R = np.reciprocal(R)
self.R = R

Expand Down Expand Up @@ -1272,4 +1301,3 @@ ex1.ψ, ex1_large.ψ[-1]
ex1_large.value_functionss()
ex1.J, ex1_large.J[-1]
```

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