Despite a verbal preference for people who behave in an "egalitarian" way, people actually prefer others in their groups to display in-group bias. this phenomenon is best termed:

This phenomenon is best termed as "implicit group metafavoritism".

The ingroup bias is the propensity that individuals need to support their own particular gathering over that of others. This bias can impact both individual and gathering conduct. It might be as straightforward as favoring your own particular games group, or it can be something on a significantly bigger scale, for example, favoring individuals who share your race, ethnicity, religion, or nationality.