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Table 1 Meaning of symbols

From: Groupwise information sharing promotes ingroup favoritism in indirect reciprocity

Symbol Meaning
M Number of groups
θ Probability that a donor and recipient in a one-shot game are in the same group
r{G, B}M Reputation vector of a player in the eyes of M observers
p k (r) Probability that a player in group k has reputation vector r
pk(r) Probability that a player outside group k has reputation vector r
σ(r){C, D} Donor’s action to a recipient having reputation r{G, B}
Φ r (a,r) Probability that an observer assigns reputation r{G, B} to a donor selecting action a{C, D} to a recipient having reputation r{C, D}
pin(r) Probability that a player in the eyes of an ingroup observer has reputation r
pout(r) Probability that a player in the eyes of an outgroup observer has reputation r