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A mathematical model of measurement of the perception of well-being forgroups with increasing incomes, but proportionally unequal is proposed.Assuming that welfare grows with own income and decreases with relativeinequality (income of the other concerning one's own), possible scenarios forlong-term behavior in welfare functions are concluded. Also, it is proved thata high relative inequality (parametric definition) always implies the loss ofthe self-perception of the well-being of the most disadvantaged group.

Income growth with high inequality implies loss of well-being: A mathematical model