Conquered peoples would trade their defeated god for the victorious god of their conquerors and eventually there would be a cultural and religious assimilation, intermarriage.

胜利者所信仰的神,自然就取代了被征服民族的神,最终就产生了文化，宗教间的,同化和通婚现象。

耶鲁公开课 - 旧约导论课程节选

So the Romans would honor local gods, other people's gods.

所以罗马人很尊重各地神祇，其他民族的神。

耶鲁公开课 - 新约课程节选

Every people was allowed to use their own gods.

每个民族都可以有自己的神。

耶鲁公开课 - 新约课程节选