English

Collaboration drives phase transitions towards cooperation in prisoner's dilemma

Physics and Society 2026-02-13 v1 Statistical Mechanics Theoretical Economics Populations and Evolution

Abstract

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are driven by their innate nature of seeking selfish gains and shared intentionality. Cooperation emerges in such a structured population through non-equilibrium phase transitions driven by propensity of the players to collaborate and by the benefit that a cooperator generates. The robust results are qualitatively independent of number of neighbours and collaborators.

Keywords

Cite

@article{arxiv.2602.11601,
  title  = {Collaboration drives phase transitions towards cooperation in prisoner's dilemma},
  author = {Joy Das Bairagya and Jonathan Newton and Sagar Chakraborty},
  journal= {arXiv preprint arXiv:2602.11601},
  year   = {2026}
}