🌐 [translation-sync] [lucas_prescott_investment, optimal_growth_uncertainty] Two sequels to rational_expectations

[mmcky]

Automated Translation Sync

This PR contains automated translations from QuantEcon/lecture-python.myst.

Source PR

#1070 - [lucas_prescott_investment, optimal_growth_uncertainty] Two sequels to rational_expectations

Files Added

• ✅ lectures/lq_mean_field_games.md
• ✅ .translate/state/lq_mean_field_games.md.yml
• ✅ lectures/lucas_prescott_investment.md
• ✅ .translate/state/lucas_prescott_investment.md.yml

Files Updated

• ✏️ lectures/rational_expectations.md
• ✏️ .translate/state/rational_expectations.md.yml
• ✏️ lectures/_toc.yml
• ✏️ lectures/_static/quant-econ.bib

Details

• Source Language: en
• Target Language: zh-cn
• Model: claude-sonnet-5

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This PR was created automatically by the translation action.

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[github-actions]

✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-09-27
Routing: editor — 2 minor finding(s) in gating categories (accuracy/terminology/syntax/diff-check/other)
Shadow gate: would NOT auto-merge (recorded only; no action taken)

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📝 Translation Quality

Criterion	Score
Accuracy	9/10
Fluency	9/10
Terminology	9/10
Formatting	9/10
Overall	9/10

Summary: This is a high-quality, technically precise translation of three advanced economics lectures covering mean field games, investment under uncertainty, and rational expectations equilibrium. Mathematical content, MyST/Jupyter Book formatting, and specialized terminology are all handled accurately and consistently. Only minor stylistic issues were found; no blocking or major errors were identified in the changed sections. The complex mathematical/economic terminology (Riccati equations, Hamiltonian structure, mean field games, Kimball demand, rational expectations equilibrium) is rendered consistently and accurately across all three files, matching established economics terminology in Chinese. All LaTeX math, MyST directives (proposition, theorem, exercise, solution blocks), code cells, and cross-references are fully preserved with correct syntax. The translation maintains an appropriately formal academic register throughout, consistent with the source text's tone. Long technical passages (e.g., the state-costate system, the equilibrium Riccati equation derivations, the industry equilibrium calibration) are translated with high fidelity to the mathematical meaning and logical flow of the original. Proper full-width Chinese punctuation is used consistently, and spacing around inline MyST directives/links follows the required convention.

Suggestions:

• [minor · terminology] lectures/lq_mean_field_games.md — ### Complements and substitutes: The term 'Loewner ordering' (洛纳序) is translated but not commonly standardized in Chinese mathematical literature; this is a niche term and the translation choice, while reasonable, may benefit from a parenthetical note of the original English term for clarity, as is done elsewhere in the document (e.g. 托宾的 q). → 洛纳序（Loewner ordering）
• [minor · fluency] lectures/lq_mean_field_games.md — ## The environment: In the sentence '因此互补性是被允许的，但只能到一定程度' under Existence and uniqueness, the phrasing is slightly awkward; a smoother rendering would improve readability. → 因此，互补性是被允许的，但存在一定限度。
• [minor · accuracy] lectures/lucas_prescott_investment.md — ## The firm and the price of installed capital: The phrase 'Their argument is stronger than Grunfeld's' is translated as '不过他们的论证比格伦费尔德的更有力', which is accurate, but the following clause 'a firm does not need to forecast its own future income stream at all' loses some emphasis from 'at all' — the Chinese '根本不需要' does capture this reasonably well, so this is a very minor stylistic note rather than a substantive error.
• [nit · fluency] lectures/rational_expectations.md — ### The big Y, little y trick: The repeated phrase '但是' at the end of two bullet points reads slightly unnaturally in isolation (a trailing conjunction), though it mirrors the English source's 'but ...'. This is a stylistic choice that could be smoothed with '但……' followed immediately by continuation, but is acceptable as is.

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🔍 Diff Quality

Check	Status
Scope Correct	✅
Position Correct	✅
Structure Preserved	✅
Heading-map Correct	✅
Overall	10/10

Summary: The translation sync correctly scoped and positioned nearly all content changes across the three files, but the heading-map in rational_expectations.md was not fully updated to reflect the renamed 'Further reading' heading and is missing the new 'Concluding remarks' heading entry.

Issues:

• In rational_expectations.md, the source renamed heading 'Further Reading' to 'Further reading' (case change), but the translation's heading-map key still uses old capitalization 'Overview::Further Reading' instead of 'Overview::Further reading', which will break the English-to-translated heading ID mapping.
• New heading 'Concluding remarks' was added to rational_expectations.md body but is missing an entry in the translation frontmatter's heading-map.

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This review was generated automatically by action-translation review mode.

[Copilot]

Copilot review overview

🟡 Changes recommended

There is at least one confirmed typo in the updated lecture text and the ToC captions were changed to English across the zh-cn navigation, which is a user-visible language inconsistency.

Review effort: Lite
Findings: 2

Open (2)

• Chinese TOC captions were changed to English · New
• Repeated character typo in Chinese phrase · New

What changed in this PR

This PR syncs new/updated lecture translations from QuantEcon/lecture-python.myst into the zh-cn lecture set, adding two sequel lectures related to the rational expectations content and updating navigation and references accordingly.

Changes:

• Added two new translated lectures: lucas_prescott_investment and lq_mean_field_games
• Updated rational_expectations to reference the sequel lectures and added a concluding remarks section
• Updated the book ToC and bibliography to include the new lectures and citation entries, plus translation state metadata updates

File	Description
lectures/​rational_expectations.md	Adds sequel-lecture cross-links and a new concluding remarks section; minor translation adjustments
lectures/​lucas_prescott_investment.md	New translated lecture on Lucas–Prescott investment under uncertainty
lectures/​lq_mean_field_games.md	New translated lecture on LQ mean field games with extensive math/code content
lectures/​_toc.yml	Adds new lecture entries and updates part captions/navigation labels
lectures/​_static/​quant-econ.bib	Adds bibliography entries required by the new lecture citations
.translate/​state/​rational_expectations.md.yml	Updates translation sync metadata for the updated lecture
.translate/​state/​lucas_prescott_investment.md.yml	Adds translation sync metadata for the new lecture
.translate/​state/​lq_mean_field_games.md.yml	Adds translation sync metadata for the new lecture

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