Evolutionary dynamics on graphs

By Erez Lieberman Aiden, C. Hauert, Martin A. Nowak. Nature, 2005

1,382 citations recorded by the source corpus.

Subfields: Genetics, Management Science and Operations Research, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/0bb849da7d0ef474c9f34604b79c90dc1323667f

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Citations in the corpus

Sixteen common misconceptions about the evolution of cooperation in humans (2011, background): “Misconception 3: Mutually beneficial cooperation is less”
Bifurcations from regular quotient networks: A first insight (2009, background): “…Dr Roberto Frias, 4200-464 Porto, Portugal c Dep. de Matemática Pura, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal dMathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA e Department of Mathematics, Purdue…”
Evolutionary game theory: Theoretical concepts and applications to microbial communities (2010, background): “In this realm, studies have mainly focused on numerical simulations and on (often heuristic) deterministic reaction-diffusion equations, or coupled maps [24–26,86,91,105–108].”
Two results on evolutionary processes on general non-directed graphs (2010, background): “Lieberman et al. (2005) solved it for regular graphs (where wij = wji).”
Statistical physics of human cooperation (2017, result): “A closer inspection of the theory reveals a potential explanation for this mismatch: one particularly influential line of theoretical work found that cooperation is only evolutionary stable on networks when the benefit-to-cost ratio of cooperation is larger than the average number of network neighbo”
Social network correlates of food availability in an endangered population of killer whales, Orcinus orca (2012, neutral): “…their environment (Hoelzel 1993; Baird & Dill 1996), gene flow (Piertney et al. 1999; Matocq & Lacey 2004; Wolf & Trillmich 2008), frequency-dependent selection (Nowak & May 1992; Lieberman et al. 2005), and information transfer and disease transmission (Watts & Strogatz 1998; Cross et al. 2004).”
Evolutionary games on graphs and the speed of the evolutionary process (2010, positive): “…the ﬁtness of a mutant when playing against a mutant and a resident individual respectively while c and d denotes the ﬁtness of a resident individual when playing against mutants and resident individuals, respectively (for the ﬁxed ﬁtness case of e.g. Lieberman et al. (2005), a = b = r, c = d = 1).”
Games on graphs (2014, background): “More generally, spatial structure can be represented as a graph [48], [95].”