The Impact of Time Delay on Mutant Fixation in Evolutionary Games

no code implementations • 14 Mar 2024 • Javad Mohamadichamgavi, Mark Broom

We will show time delays reduce the fixation probability in the Stag-Hunt and the Prisoner's Dilemma but increase it in the Snowdrift.

Public Goods Games in Disease Evolution and Spread

no code implementations • 27 Feb 2024 • Christo Morison, Małgorzata Fic, Thomas Marcou, Javad Mohamadichamgavi, Javier Redondo Antón, Golsa Sayyar, Alexander Stein, Frank Bastian, Hana Krakovská, Nandakishor Krishnan, Diogo L. Pires, Mohammadreza Satouri, Frederik J. Thomsen, Kausutua Tjikundi, Wajid Ali

We also posit that applications of evolutionary game theory to decision-making in cancer, such as interactions between a clinician and a tumour, can learn from the PGGs studied in epidemiology, where cooperative behaviours such as quarantine and vaccination compliance have been more thoroughly investigated.

Decision Making Epidemiology

Effect of the degree of an initial mutant in Moran processes in structured populations

no code implementations • 10 Jun 2023 • Javad Mohamadichamgavi, Jacek Miȩkisz

We study the effect of the mutant's degree on the fixation probability, extinction and fixation times, in the Moran process on Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert graphs.

Phase transitions in the Prisoner's Dilemma game on scale-free networks

no code implementations • 6 Apr 2023 • Jacek Miękisz, Javad Mohamadichamgavi, Jakub Łącki

We study stochastic dynamics of the Prisoner's Dilemma game on random Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert networks with a cost of maintaining a link between interacting players.

Small time delay approximation in replicator dynamics

no code implementations • 14 Mar 2023 • Jacek Miȩkisz, Javad Mohamadichamgavi, Raffi Vardanyan

We present a microscopic model of replicator dynamics with strategy-dependent time delays.