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Figure 1 | BMC Evolutionary Biology

Figure 1

From: The evolution of prompt reaction to adverse ties

Figure 1

Evolving the neighbourhood. The upper panel illustrates the rewiring mechanism being used. A detail of a hypothetical graph is illustrated in the region surrounding the edge selected for evaluation (dashed line), connecting individuals A and B, each with a characteristic willingness to change given by ηA and ηB. Since A is dissatisfied, A wants to rewire whereas satisfied B will compete to keep the link. Whenever ηA and ηB are both equal to 1 (upper panel) rewiring takes (does not take) place with probability pA (pB = 1-pA), which is defined by the payoff-dependent Fermi function (see Methods) [32]. The lower panel illustrates the rewiring decisions for ηA and ηB in [0,1], assuming the complex situation when both individuals are dissatisfied (A and B are defectors). With probability qA (see below) A rewires whereas with probability qB it is B who rewires. With probability ηA (ηB) A (B) will compete to rewire the link; hence A and B compete with probability ηAηB, and decision is contingent on fitness, as before (green zones); with probability (1-ηA)(1-ηB) no change will happen (red zone); when only one competes, decision becomes unilateral (yellow zones). Hence, A's decision prevails with probability qA = ηAηBpA + ηA(1-ηB), B's decision with probability qB = ηAηBpB + ηB(1-ηA).

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