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Table 3 Equilibria and the stability conditions for a population of DISC players under different assignment rules

From: Groupwise information sharing promotes ingroup favoritism in indirect reciprocity

Rule p in (G) p out (G) Stability condition ψ ρ
IM 1 2 1 2 Unstable 1 2 0
ST 1−μ 1μ 1 + θ θ +O( μ 2 ) Eq. (14) 1 μ θ +O( μ 2 ) μ θ +O( μ 2 )
JG 1−μ 1 2 Eq. (18) 1 + θ 2 μθ 1 2 μ