Bibliographic record
Abstract
In this article, we present examples of tax-distorted general equilibrium economies in which equilibria are unique in the absence of taxes, but taxes generate multiplicity when introduced over a range of tax rates. We also provide converse examples of economies with multiple no-tax equilibria, but where taxes when introduced induce uniqueness. Both Foster and Sonnenschein (1970 Foster, E. and Sonnenschein, H. 1970. Price distortion and economic welfare. Econometrica, 38: 281–97. [Google Scholar]) and Kehoe (1985 Kehoe, T. J. 1985. The comparative statics properties of tax models. Canadian Journal of Economics, 18: 314–34. [Google Scholar]) discussed the possibility of tax-induced multiplicity. Here, we show how in 2-individual 2-good pure exchange economies with Constant Elasticity of Substitution/Linear Expenditure System (CES/LES) preferences such cases can occur. We also provide ranges of consumption tax rates over which these cases can occur for alternative parameterizations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.006 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.002 | 0.002 |
| Scholarly communication | 0.002 | 0.004 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.014 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".