Binary birth-death dynamics and the expansion of cooperation by means of self-organized growth

Szolnoki, Attila; Antonioni, Alberto; Tomassini, Marco; Perc, Matjaž

doi:10.1209/0295-5075/105/48001

Cited by 30 publications

(19 citation statements)

References 36 publications

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“…For example, EGT has been applied in the study of the prominent ‘rock–paper–scissors' (RPS) game, which was proposed as a facilitator of species coexistence and has inspired both experimental and theoretical research 38 39 40 41 42 . Furthermore, the ‘prisoner's dilemma' game serves as a paradigmatic model to explore the evolution and maintenance of cooperation 43 44 . The interplay between non-linear and stochastic effects underlies the dynamics of such evolutionary games 45 46 47 48 49 50 .…”

Section: Resultsmentioning

confidence: 99%

Evolutionary games of condensates in coupled birth–death processes

et al. 2015

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Condensation phenomena arise through a collective behaviour of particles. They are observed in both classical and quantum systems, ranging from the formation of traffic jams in mass transport models to the macroscopic occupation of the energetic ground state in ultra-cold bosonic gases (Bose–Einstein condensation). Recently, it has been shown that a driven and dissipative system of bosons may form multiple condensates. Which states become the condensates has, however, remained elusive thus far. The dynamics of this condensation are described by coupled birth–death processes, which also occur in evolutionary game theory. Here we apply concepts from evolutionary game theory to explain the formation of multiple condensates in such driven-dissipative bosonic systems. We show that the vanishing of relative entropy production determines their selection. The condensation proceeds exponentially fast, but the system never comes to rest. Instead, the occupation numbers of condensates may oscillate, as we demonstrate for a rock–paper–scissors game of condensates.

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Section: Resultsmentioning

confidence: 99%

Evolutionary games of condensates in coupled birth–death processes

et al. 2015

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“…However, some kinds of networks, called selection suppressors, suppress the selection effect on population evolution. The above finding evokes an increasing interest in analysis of the network structural effect on evolutionary dynamics2627282930313233. In 2014, the work by Maciejewski clarified how node degree affects the fixation probability of a neutral mutant.…”

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confidence: 99%

Characterizing the effect of population heterogeneity on evolutionary dynamics on complex networks

Tan

Lü

2014

Sci Rep

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Recently, the impact of network structure on evolutionary dynamics has been at the center of attention when studying the evolutionary process of structured populations. This paper aims at finding out the key structural feature of network to capture its impact on evolutionary dynamics. To this end, a novel concept called heat heterogeneity is introduced to characterize the structural heterogeneity of network, and the correlation between heat heterogeneity of structure and outcome of evolutionary dynamics is further investigated on various networks. It is found that the heat heterogeneity mainly determines the impact of network structure on evolutionary dynamics on complex networks. In detail, the heat heterogeneity readjusts the selection effect on evolutionary dynamics. Networks with high heat heterogeneity amplify the selection effect on the birth-death process and suppress the selection effect on the death-birth process. Based on the above results, an effective algorithm is proposed to generate selection adjusters with desired size and average degree.

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“…To better solve this issue, we select the initially prepared distribution, which is a very useful method to examine the inherent evolution mechanisms of cooperation [44][45][46][47]. From Fig.…”

Section: Resultsmentioning

confidence: 99%