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Wiktionary
social mobility

n. (context sociology English) The degree to which, in a given society, an individual's, family's, or group's social status can change throughout the course of their life through a system of social hierarchy or stratification.

Wikipedia
Social mobility

Social mobility is the movement of individuals, families, households, or other categories of people within or between social strata in a society. It is a change in social status relative to others' social location within a given society.