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Stochastic evolutionary dynamics in structured populations: Network degree governs evolutionary stability

  • Vikash Kumar Dubey
  • Sagar Chakraborty
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Abstract

Stochasticity shapes evolutionary dynamics in finite populations beyond the reach of infinite-population theories. Using a stochastic birth--death framework on random regular networks, we establish evolutionary stability criteria for finite structured populations playing three-strategy games and identify critical degree thresholds governing invasion dynamics. Our framework goes beyond two-strategy evolutionary games to reveal that the initial composition of multi-type mutants, together with population structure and stochasticity, shapes the evolutionary fate of the resident population.

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Cite

BibTeXRIS
BibTeX
@misc{dubey2026stochastic,
  title = {{Stochastic evolutionary dynamics in structured populations: Network degree governs evolutionary stability}},
  author = {Vikash Kumar Dubey and Sagar Chakraborty},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05857},
  eprint = {2610.05857},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05857},
}
RIS
TY  - UNPB
TI  - Stochastic evolutionary dynamics in structured populations: Network degree governs evolutionary stability
AU  - Vikash Kumar Dubey
AU  - Sagar Chakraborty
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.05857
UR  - https://arxiv.org/abs/2610.05857
AB  - Stochasticity shapes evolutionary dynamics in finite populations beyond the reach of infinite-population theories. Using a stochastic birth--death framework on random regular networks, we establish evolutionary stability criteria for finite structured populations playing three-strategy games and identify critical degree thresholds governing invasion dynamics. Our framework goes beyond two-strategy evolutionary games to reveal that the initial composition of multi-type mutants, together with population structure and stochasticity, shapes the evolutionary fate of the resident population.
ER  -