Fluctuations in Environmental Resource Availability Alter the Oscillatory Tragedy of the Commons

Abstract

Environmental noise in real-world complex systems--including fluctuations in temperature, humidity, and related environmental conditions--inevitably modulates individual metabolic capacity and, consequently, the efficiency of public-resource utilization. Yet conventional evolutionary game models incorporating environmental feedback treat resource dynamics deterministically. Here, we incorporate stochastic fluctuations into a noise-corrected replicator-dynamics framework. Theoretical analysis and stochastic birth-death simulations yield a counterintuitive result: moderate environmental noise stabilizes, rather than destabilizes, the interior fixed point across diverse payoff landscapes, while suppressing or eliminating catastrophic oscillations. These findings reframe environmental variability not merely as a perturbation but as a mechanism that fosters strategy coexistence and sustainable resource use in complex social and ecological systems.

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BibTeX RIS

BibTeX

@misc{chen2026fluctuations,
  title = {{Fluctuations in Environmental Resource Availability Alter the Oscillatory Tragedy of the Commons}},
  author = {Yi-Duo Chen and Zhi-Xi Wu and Jian-Yue Guan},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06156},
  eprint = {2611.06156},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06156},
}

RIS

TY  - UNPB
TI  - Fluctuations in Environmental Resource Availability Alter the Oscillatory Tragedy of the Commons
AU  - Yi-Duo Chen
AU  - Zhi-Xi Wu
AU  - Jian-Yue Guan
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06156
UR  - https://arxiv.org/abs/2611.06156
AB  - Environmental noise in real-world complex systems--including fluctuations in temperature, humidity, and related environmental conditions--inevitably modulates individual metabolic capacity and, consequently, the efficiency of public-resource utilization. Yet conventional evolutionary game models incorporating environmental feedback treat resource dynamics deterministically. Here, we incorporate stochastic fluctuations into a noise-corrected replicator-dynamics framework. Theoretical analysis and stochastic birth-death simulations yield a counterintuitive result: moderate environmental noise stabilizes, rather than destabilizes, the interior fixed point across diverse payoff landscapes, while suppressing or eliminating catastrophic oscillations. These findings reframe environmental variability not merely as a perturbation but as a mechanism that fosters strategy coexistence and sustainable resource use in complex social and ecological systems.
ER  -

Abstract

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