Limit Cycles Sparked by Mutation in the Repeated Prisoner's Dilemma

DOI10.1142/S0218127414300353zbMath1305.34079arXiv1501.05715OpenAlexW1998232562WikidataQ56913048 ScholiaQ56913048MaRDI QIDQ5498596

Danielle F. P. Toupo, David G. Rand, Steven H. Strogatz

Publication date: 10 February 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05715

zbMATH Keywords

limit cycleevolutionary game theorybifurcation analysisreplicator-mutator model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Evolutionary games (91A22)

Related Items (4)

Duality between cooperation and defection in the presence of tit-for-tat in replicator dynamics ⋮ Allee effect induced diversity in evolutionary dynamics ⋮ Bifurcation analysis of three-strategy imitative dynamics with mutations ⋮ Evolutionary Dynamics of Cooperation in a Corrupt Society with Anti-Corruption Control

Cites Work

• Mutation in autocatalytic reaction networks. An analysis based on perturbation theory
• Evolutionary dynamics in finite populations can explain the full range of cooperative behaviors observed in the centipede game
• Direct reciprocity with costly punishment: generous tit-for-tat prevails
• Direct reciprocity in structured populations
• The Evolution of Cooperation
• Evolutionary Games and Population Dynamics
• Hopf Bifurcations and Limit Cycles in Evolutionary Network Dynamics
• Evolution of fairness in the one-shot anonymous Ultimatum Game
• Alternate Models of Replicator Dynamics
• Unnamed Item

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