Discrete Event Population Updates: finding game theoretic emergent behaviour in queueing systems with simulation

2026-06-30

Announcing a new preprint: "Discrete Event Population Updates: finding game theoretic emergent behaviour in queueing systems with simulation".

This is work with my long time collaborator Geraint Palmer as well as with Thomas Hutton, a current undergraduate in the School of Mathematics at Cardiff University.

The short version: we bring together evolutionary game theory and queueing theory. We introduce a framework that lets us take well understood models from evolutionary game theory and use them, systematically, to understand the emergent behaviour that arises in queueing systems. There is a lot of work that uses static results in queues and identifies equilibrium behaviour. This work builds on that idea in the same way that evolutionary game theory looks at emergent behaviour over static Nash equilibria.

It has been a real pleasure working on this with Geraint and Thomas, and seeing an undergraduate contribute to research like this.

@misc{knight2026discreteeventpopulationupdates,
      title={Discrete Event Population Updates: finding game theoretic emergent behaviour in queueing systems with simulation}, 
      author={Vincent Knight and Geraint I. Palmer-Liyu and Thomas Hutton},
      year={2026},
      eprint={2606.28100},
      archivePrefix={arXiv},
      primaryClass={cs.GT},
      url={https://arxiv.org/abs/2606.28100}, 
}