Comparative performance of alternative tax design models under information scarcity
| Model | Uses network structure | Mean absolute error (MAE) | Post-tax Gini | Kakwani index | Welfare loss under high ambiguity (δ = 0.20) |
|---|---|---|---|---|---|
| Linear proxy-based rule | No | 0.211 | 0.372 | 0.101 | 4.6% |
| XGBoost (tabular ML benchmark) | No | 0.176 | 0.351 | 0.139 | 2.9% |
| GNN-based structural taxation (proposed) | Yes | 0.127 | 0.308 | 0.221 | 1.2% |
| Model | Uses network structure | Mean absolute error (MAE) | Post-tax Gini | Kakwani index | Welfare loss under high ambiguity ( |
|---|---|---|---|---|---|
| Linear proxy-based rule | No | 0.211 | 0.372 | 0.101 | 4.6% |
| XGBoost (tabular ML benchmark) | No | 0.176 | 0.351 | 0.139 | 2.9% |
| GNN-based structural taxation (proposed) | Yes |
Note(s): The table compares redistributive and informational performance across three tax design approaches. The linear proxy-based rule reflects conventional targeting mechanisms based on observable characteristics. The XGBoost benchmark uses the same observable attributes as the proposed model but excludes relational information, thereby serving as a strong non-graph machine learning baseline. The GNN-based model incorporates economic network structure through graph embeddings. Welfare losses are computed under distributional ambiguity using worst-case income realizations consistent with inferred information sets. Results are averaged across 1,000 simulation replications. Lower MAE, lower post-tax Gini coefficients, higher Kakwani indices and smaller welfare losses indicate superior performance
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