Multiplayer Pursuit-Evasion Games With Distributed Nash Equilibrium Solution
Bibliographic record
Abstract
This paper concentrates on solving the multiplayer pursuit-evasion (MPE) game issue. In the existing MPE game framework, the fact that the Nash equilibrium and distribution are two contradicting properties which can not be achieved simultaneously. To tackle this challenge, novel cost functions that combine the best response approach and min-max scheme, are introduced such that the coupling terms in the existing MPE game formulations are removed. Consequently, the corresponding Nash and distributed solutions are obtained. Furthermore, a more general situation that the pursuers are not aware of the global information of the communication topology is discussed. In this framework, the adaptive coupling gains are incorporated into the improved cost functions to further realize the Nash equilibrium and distributed control strategies without the necessity of the information of topology graph. The sufficient conditions in two scenarios are given while the stability of adaptive coupling gains are provided as well. Besides, the Nash equilibrium properties of the solutions in two scenarios are analyzed, respectively. Finally, a simulation example is displayed to validate the theoretical results.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".