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16 changes: 16 additions & 0 deletions .gitignore
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# Sphinx documentation
docs/_build/

# MyST Markdown build output
_build/

# PyBuilder
target/

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# mypy
.mypy_cache/

# Dotfiles
dotfiles/to

# Project-specific (local only)
researcher-requirements.md
proposed-revisions.md
scripts/create_paperpile_bib.py
scripts/ipynb_to_myst.py

# Mac
.DS_Store

# Cursor / SpecStory
.cursor*
.specstory*/
461 changes: 461 additions & 0 deletions OptimumDebt.bib

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# Remaining Gaps in the Literature

Based on the analysis of papers citing Aiyagari & McGrattan (1998), several important gaps remain:

## 1. **Empirical Validation and Calibration Updates**

**Gap**: Limited empirical work validating the model's predictions or updating calibrations with recent data.

**What's missing**:
- Empirical tests of whether actual debt levels align with model-implied optimal levels across countries
- Updated calibrations using post-2008 financial crisis data (most work uses pre-crisis parameters)
- Cross-country comparative studies testing the model's predictions
- Validation of the "small welfare gains" finding with real-world data

**Why it matters**: The original paper's finding that welfare gains are small needs empirical validation, especially given rising debt levels globally.

## 2. **Dynamic Optimal Debt Paths (Not Just Steady States)**

**Gap**: Most papers focus on steady-state optimal debt levels, not optimal transition paths.

**What's missing**:
- How should debt evolve optimally over time, especially after shocks?
- Optimal debt dynamics during recessions vs. expansions
- Analysis of optimal debt reduction paths (if starting from high levels)
- Time-varying optimal debt-to-GDP ratios

**Why it matters**: Policy makers need guidance on how to adjust debt over time, not just what the long-run level should be.

## 3. **Heterogeneity Beyond Income/Wealth**

**Gap**: Models typically focus on income/wealth heterogeneity but ignore other important dimensions.

**What's missing**:
- Age heterogeneity (life-cycle considerations) combined with liquidity constraints
- Skill/education heterogeneity and its interaction with debt policy
- Geographic heterogeneity (urban vs. rural, regional differences)
- Health and disability status affecting liquidity needs
- Family structure heterogeneity (single vs. married, children)

**Why it matters**: Different types of heterogeneity may have different implications for optimal debt policy.

## 4. **Financial Sector and Banking Frictions**

**Gap**: Limited integration of banking sector and financial intermediation frictions.

**What's missing**:
- How does optimal debt policy change when banks face capital constraints?
- Interaction between government debt and private credit markets
- Role of financial crises and their impact on optimal debt
- How does government debt affect bank lending and financial stability?

**Why it matters**: The 2008 crisis showed financial sector frictions matter enormously, but most models abstract from them.

## 5. **Uncertainty and Robustness**

**Gap**: Limited analysis of robustness to model uncertainty and parameter uncertainty.

**What's missing**:
- Robust optimal policies under model uncertainty
- Sensitivity analysis of optimal debt to key parameters
- Analysis of optimal debt under different assumptions about risk preferences
- How optimal debt changes with different income process specifications

**Why it matters**: Policy recommendations need to be robust given uncertainty about model parameters and structure.

## 6. **Distributional Consequences in Detail**

**Gap**: While some papers examine distributional effects, detailed welfare analysis by household type is limited.

**What's missing**:
- Which specific household types benefit/lose from different debt levels?
- Welfare decomposition: liquidity benefits vs. tax costs by household characteristics
- Optimal debt when policy makers have distributional preferences (e.g., Rawlsian)
- Trade-offs between aggregate efficiency and distributional equity

**Why it matters**: Understanding who gains and loses is crucial for political feasibility and social welfare.

## 7. **State-Dependent Optimal Policies**

**Gap**: Most analysis assumes constant optimal debt levels, ignoring state-dependency.

**What's missing**:
- How should optimal debt vary with aggregate productivity?
- Optimal debt policy during financial crises vs. normal times
- State-contingent debt policies (debt levels that depend on economic conditions)
- Optimal automatic stabilizers in heterogeneous-agent models

**Why it matters**: Optimal policy likely depends on economic conditions, but this is underexplored.

## 8. **Multiple Asset Types and Portfolio Choice**

**Gap**: Models typically have simple asset structures (money, bonds, capital) but ignore richer portfolios.

**What's missing**:
- Optimal debt when households hold diverse portfolios (stocks, housing, etc.)
- Interaction between government debt and housing markets
- How does optimal debt change when households can invest in multiple risky assets?
- Role of government debt as a safe asset in portfolios

**Why it matters**: Real households hold diverse portfolios, which may affect optimal debt policy.

## 9. **Open Economy Extensions**

**Gap**: While Gounopoulos et al. (2025) examines spillovers, full open-economy analysis is limited.

**What's missing**:
- Optimal debt in small open economies vs. large economies
- How does optimal debt change with capital mobility?
- Currency denomination of debt and exchange rate considerations
- Optimal coordination of debt policies across countries

**Why it matters**: Most economies are open, and optimal policy may differ substantially in open vs. closed settings.

## 10. **Non-Linear and Regime-Dependent Effects**

**Gap**: Limited analysis of non-linearities and threshold effects.

**What's missing**:
- Are there debt thresholds beyond which effects change dramatically?
- Non-linear effects of debt on interest rates and growth
- Regime-switching models where optimal debt depends on which regime the economy is in
- Analysis of debt sustainability limits and their implications

**Why it matters**: Real-world effects may be highly non-linear, but most models assume smooth relationships.

## 11. **Political Economy and Implementation**

**Gap**: While Carroll et al. (2021) introduces political economy, this area is still underdeveloped.

**What's missing**:
- How do political institutions affect optimal debt?
- Analysis of time-consistency problems in debt policy
- How do electoral cycles affect optimal debt?
- Political constraints on achieving optimal debt levels

**Why it matters**: Even if we know optimal debt, political constraints may prevent achieving it.

## 12. **Climate and Long-Run Risks**

**Gap**: No integration of climate change or other long-run risks.

**What's missing**:
- How should optimal debt account for climate-related risks?
- Optimal debt when facing uncertain long-run productivity (climate damage)
- Intergenerational equity considerations with climate change
- Role of government debt in financing climate adaptation/mitigation

**Why it matters**: Climate change represents a major long-run risk that may affect optimal debt policy.

## Priority Gaps for Future Research

**Most urgent**:
1. **Dynamic optimal paths** (not just steady states) - Policy makers need transition guidance
2. **Empirical validation** - Need to test model predictions with real data
3. **Financial sector integration** - Banking frictions are crucial but underexplored
4. **State-dependent policies** - Optimal debt likely varies with economic conditions

**High potential impact**:
5. **Distributional analysis in detail** - Understanding winners/losers is crucial
6. **Open economy extensions** - Most economies are open
7. **Robustness analysis** - Policy needs to work under uncertainty

These gaps represent opportunities for future research that would significantly advance our understanding of optimal government debt policy in heterogeneous-agent economies.
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