Mathematical Analogies: An Engine for Understanding the Transfers between Economics and Physics
Why this work is in the frame
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Bibliographic record
Abstract
The influence of physics on economics has been largely analysed; the opposite influence also exists even if it has been less studied. In the last decades the relation between these two disciplines has increased. Economic models are more often used in physics (minority game, GARCH model, etc.). The aim of this paper is to explore the role of mathematical analogies in the evolution of the relation between physics and economics. We show how these analogies have contributed to make the disciplinary boundaries of economics and physics more permeable. We investigate three examples: Frisch’s PPIP model (1933); the use of the Ising model for creating econophysics in the 1990s; and the minority game, created by econophysicists in 1997 for solving an economic problem and nowadays used in physics.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 it