caa a22 4500 530098377 20181217030326.0 cr unu---uuuuu 181026e20160805xx s 000 0 eng 10.3929/ethz-b-000119515 doi 10.1038/srep30845 doi (ETHRESEARCH)oai:www.research-collection.ethz.ch:20.500.11850/119515 Detecting the Collapse of Cooperation in Evolving Networks [Elektronische Daten] [Matteo Cavaliere, Guoli Yang, Vincent Danos, Vasilis Dakos] Sci Rep Open access ethresearch The sustainability of biological, social, economic and ecological communities is often determined by the outcome of social conflicts between cooperative and selfish individuals (cheaters). Cheaters avoid the cost of contributing to the community and can occasionally spread in the population leading to the complete collapse of cooperation. Although such collapse often unfolds unexpectedly, it is unclear whether one can detect the risk of cheater's invasions and loss of cooperation in an evolving community. Here, we combine dynamical networks and evolutionary game theory to study the abrupt loss of cooperation with tools for studying critical transitions. We estimate the risk of cooperation collapse following the introduction of a single cheater under gradually changing conditions. We observe an increase in the average time it takes for cheaters to be eliminated from the community as the risk of collapse increases. We argue that such slow system response resembles slowing down in recovery rates prior to a critical transition. In addition, we show how changes in community structure reflect the risk of cooperation collapse. We find that these changes strongly depend on the mechanism that governs how cheaters evolve in the community. Our results highlight novel directions for detecting abrupt transitions in evolving networks. Creative Commons Attribution 4.0 International http://creativecommons.org/licenses/by/4.0 ethresearch Evolution ethresearch Evolutionary theory ethresearch Cavaliere Matteo joint author Yang Guoli joint author Danos Vincent joint author Dakos Vasilis joint author Scientific Reports London : Nature Publishing Group 6, p. 30845 2045-2322 http://hdl.handle.net/20.500.11850/119515 text/html WWW-Backlink auf das Repository (Open access) 1 Journal Article ethresearch ETHRESEARCH 856 40 http://hdl.handle.net/20.500.11850/119515 text/html WWW-Backlink auf das Repository (Open access) ETHRESEARCH 700 1- Cavaliere Matteo joint author ETHRESEARCH 700 1- Yang Guoli joint author ETHRESEARCH 700 1- Danos Vincent joint author ETHRESEARCH 700 1- Dakos Vasilis joint author ETHRESEARCH 773 0- Scientific Reports London : Nature Publishing Group 6, p. 30845 2045-2322 BK010053 XK010053 XK010000 ETHRESEARCH ETHRESEARCH ETHRESEARCH Journal Article Open access