Table 1 |
|
| Meaning of symbols | |
| 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 |
| pk(r) | Probability that a player in group k has reputation vector r |
| p−k(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} |
| Φr(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 |
Nakamura and Masuda BMC Evolutionary Biology 2012 12:213 doi:10.1186/1471-2148-12-213