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Evolutionary dynamics of group interactions on structured populations: A review

Interactions among living organisms, from bacteria colonies to human societies, are inherently more complex than interactions among particles and nonliving matter. Group interactions are a particularly important and widespread class, representative of which is the public goods game. In addition, methods of statistical physics have proven valuable for studying pattern formation, equilibrium selection, and self-organisation in evolutionary games. Here we review recent advances in the study of evolutionary dynamics of group interactions on structured populations, including lattices, complex networks and coevolutionary models. We also compare these results with those obtained on well-mixed populations. The review particularly highlights that the study of the dynamics of group interactions, like several other important equilibrium and non-equilibrium dynamical processes in biological, economical and social sciences, benefits from the synergy between statistical physics, network science and evolutionary game theory.

 

Evolutionary dynamics of group interactions on structured populations: A review

Matjaz Perc, Jesús Gómez-Gardeñes, Attila Szolnoki, Luis M. Floría, Yamir Moreno

http://arxiv.org/abs/1301.2247

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Evolutionary Conservation of Species’ Roles in Food Webs

Studies of ecological networks (the web of interactions between species in a community) demonstrate an intricate link between a community’s structure and its long-term viability. It remains unclear, however, how much a community’s persistence depends on the identities of the species present, or how much the role played by each species varies as a function of the community in which it is found. We measured species’ roles by studying how species are embedded within the overall network and the subsequent dynamic implications. Using data from 32 empirical food webs, we find that species’ roles and dynamic importance are inherent species attributes and can be extrapolated across communities on the basis of taxonomic classification alone. Our results illustrate the variability of roles across species and communities and the relative importance of distinct species groups when attempting to conserve ecological communities.

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The role of strong and weak ties in Facebook: a community structure perspective

In this paper we report our findings on the analysis of two large datasets representing the friendship structure of the well-known Facebook network. In particular, we discuss the quantitative assessment of the strength of weak ties Granovetter's theory, considering the problem from the perspective of the community structure of the network. We describe our findings providing some clues of the validity of this theory also for a large-scale online social network such as Facebook.

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