English

Temporal assortment of cooperators in the spatial prisoner's dilemma

Populations and Evolution 2020-12-01 v1 Computer Science and Game Theory Social and Information Networks Theoretical Economics Applied Physics

Abstract

We study a spatial, one-shot prisoner's dilemma (PD) model in which selection operates on both an organism's behavioral strategy (cooperate or defect) and its choice of when to implement that strategy across a set of discrete time slots. Cooperators evolve to fixation regularly in the model when we add time slots to lattices and small-world networks, and their portion of the population grows, albeit slowly, when organisms interact in a scale-free network. This selection for cooperators occurs across a wide variety of time slots and it does so even when a crucial condition for the evolution of cooperation on graphs is violated--namely, when the ratio of benefits to costs in the PD does not exceed the number of spatially-adjacent organisms.

Keywords

Cite

@article{arxiv.2011.14440,
  title  = {Temporal assortment of cooperators in the spatial prisoner's dilemma},
  author = {Tim Johnson and Oleg Smirnov},
  journal= {arXiv preprint arXiv:2011.14440},
  year   = {2020}
}

Comments

16 pages; 5 figures