Evolutionary Dynamics of Mixed Rings of Coordinators and Anticoordinators
Bibliographic record
Abstract
Decision-making based on peers’ actions often results in one of the following two groups: coordinators who tend to blend in with the population and make trending decisions, and anticoordinators who act against the majority. Only mixed networks of both coordinators and anticoordinators are capable of not reaching an equilibrium state, where every individual is satisfied with her choice. However, the conditions for nonequilibration, and more challengingly, the characterization of the non-equilibrium limit set remain concealed. We answer these problems for ring networks. We show that a mixed ring of coordinators and anticoordinators equilibrates if and only if it does not contain a particular arrangement of consecutive agents, and never equilibrates if and only if it contains a particular arrangement of consecutive agents with particular actions. As a result, a ring may admit both equilibrium and non-equilibrium limit sets. We further investigate the stability of the equilibrium states of the resulting network dynamics.
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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 | 0.002 | 0.008 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 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".