Table 2 Four-level generalized linear mixed models predicting cooperation.

For model 1, n = 30,301 network-participant-round-alters. Cooperation cascade is the proportion of alter’s alters that cooperated with alter two rounds ago; as a result, rounds 1 and 2 for each phase are dropped from analyses. For models 2 to 5, N = 36,072 network-participant-round-alters. Because we control for alter’s past cooperative behavior, round 1 for each phase is dropped from analyses. aP < 0.05, bP < 0.01, cP < 0.001. Coefficients for sequence in which phases were completed are omitted for brevity.

Model 1Model 2Model 3Model 4Model 5
Mixed network (M)*0.68c
(0.06)
−0.01
(0.11)
Dynamic network (D)*0.68c
(0.07)
−0.39c
(0.11)
0.74c
(0.05)
−0.40c
(0.11)
0.81c
(0.07)
Round (R)0.04c
(0.01)
−0.03b
(0.01)
0.05c
(0.01)
−0.03b
(0.01)
0.05c
(0.01)
Cooperation cascade1.16c
(0.15)
D × R0.18c
(0.02)
0.18c
(0.02)
M × R0.11c
(0.01)
Mixed network, dynamic
tie (MD)*
0.91c
(0.07)
−0.03
(0.14)
1.00c
(0.09)
Mixed network, static tie
(MS)*
0.57c
(0.06)
−0.04
(0.13)
0.67c
(0.08)
MD × R0.14c
(0.02)
MS × R0.09c
(0.02)
Reputation information
(I)†
0.47a
(0.19)
0.59b
(0.22)
0.57b
(0.22)
0.59b
(0.22)
0.67b
(0.22)
D × I−0.14
(0.11)
MD × I−0.18
(0.14)
MS × I−0.22
(0.12)
Second phase‡0.48c
(0.06)
0.66c
(0.05)
0.66c
(0.05)
0.67c
(0.05)
0.69c
(0.05)
Third phase‡0.68c
(0.07)
0.97c
(0.05)
0.95c
(0.05)
0.97c
(0.05)
0.98c
(0.06)
Alter cooperated,
previous round
3.31c
(0.05)
3.24c
(0.05)
3.28c
(0.05)
3.22c
(0.05)
3.28c
(0.05)
Number of ties0.02
(0.02)
0.02
(0.02)
0.01
(0.02)
0.01
(0.02)
0.01
(0.02)
Network size−0.01
(0.03)
−0.01
(0.03)
−0.01
(0.03)
−0.01
(0.03)
−0.01
(0.03)
Constant−2.72c
(0.61)
−1.57*
(0.71)
−2.11b
(0.70)
−1.57*
(0.72)
−2.20b
(0.71)
  Round0.45
(0.67)
0.42
(0.65)
0.42
(0.65)
0.43
(0.65)
0.42
(0.65)
  Participant1.65
(1.28)
1.70
(1.30)
1.68
(1.30)
1.69
(1.30)
1.68
(1.30)
  Network0.02
(0.13)
0.08
(0.28)
0.07
(0.26)
0.08
(0.28)
0.07
(0.27)

*Static networks are the reference category.

†No reputation information is the reference category.

‡Phase refers to the order in which the condition (static, dynamic, or mixed) was completed (first phase is the reference category).