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Table 5 Average of the convergence time for the fairness SN. ‘NA’ indicates that fairness norm is not obtained, while \(`NA^*\)’ indicates that all SNs, fairness and unfair are not obtained

From: Fairness norm through social networks: a simulation approach

Information assumption Common knowledge P Second-order P First-order P
\(\text{BA}\Bigg \{\) \(m=1\) 37 NA \(NA^*\)
\(m=2\) 16.04 35 NA
\(m=3\) 20.31 20.17 11
\(m=4\) 24.98 24.5 31.67
Complete Graph 17.06 17.21 17.17
\(\text{WS}\Bigg \{\) \(p_{WS}=0\) 18.44 NA \(NA^*\)
\(p_{WS}=0.25\) 25.15 25.67 NA
\(p_{WS}=0.5\) 39.87 51.08 NA
\(p_{WS}=0.75\) 17.55 61 NA
\(p_{WS}=1\) 36.97 29.45 NA
\(\text{ER}\Bigg \{\) \(p_{ER}=0.25\) 17.56 17.85 19.6
\(p_{ER}=0.5\) 14.96 15.42 17.97
\(p_{ER}=0.75\) 14.93 16.48 15.76
\(p_{ER}=1\) 16.16 16.06 15.35