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. 2011 Oct 5;6(10):e25190. doi: 10.1371/journal.pone.0025190

Figure 2. Relationship between threshold discount factor (Inline graphic) and cost-to-benefit ratio (Inline graphic).

Figure 2

I use the five types of networks and set (a) Inline graphic, Inline graphic, and (b) Inline graphic, Inline graphic. The results for direct reciprocity (i.e., Inline graphic) and upstream reciprocity on the directed triangle (i.e., Inline graphic) are also shown by thin black lines for comparison. In (a), I set the rewiring probability for the WS model to Inline graphic and Inline graphic. For the BA model, there are initially Inline graphic nodes (i.e., dyad), and the number of links that each added node has is set to Inline graphic. For my variant of the KE model, the initial number of nodes and the number of links that each added node has are set to Inline graphic, and an active node Inline graphic is deactivated with probability proportional to Inline graphic, where Inline graphic. After constructing the network based on the original KE model [34], I rewire fraction Inline graphic of randomly selected links to make the average distance small. In (b), I set Inline graphic and Inline graphic for the WS model, Inline graphic for the BA model, and Inline graphic and Inline graphic for the KE model.