Growth Paths and Survival Chances: An Application of Gambler's Ruin Theory
Bibliographic record
Abstract
This paper links new firm survival with growth, with a focus on the patterns in firms' growth paths. We theorise a Gambler's Ruin framework by arguing that new firm performance is best modelled as a random walk process, but that survival is nonrandom and depends primarily on the stock of accumulated resources. A firm's resources are either there when the business begins or are generated by successful periods — ‘wins’. The empirical section tracks, over six years, the sales and survival/non-survival of 6247 UK start-ups which all began trading in the same quarter of 2004. We do not find strong evidence in favour of a taxonomy of growth paths, because we observe that every possible growth path seems to occur with roughly equal probability. However, we observe that growth paths influence subsequent survival. Controlling for lagged size, we observe that longer lags of growth, and even start-up size, have significant effects on survival.
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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 | 0.009 | 0.046 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.004 | 0.003 |
| Science and technology studies | 0.001 | 0.006 |
| Scholarly communication | 0.003 | 0.006 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.011 | 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".