Growth and distribution in an AK-model with endogenous impatience

This paper combines the classical approach to inequality, based on the division of society into classes with different saving propensities, and the social conflict approach, in which inequality inflicts costs to growth. We assume that each consumer's discount factor is endogenously determined through two channels: (1) it is positively related to the consumer's relative wealth, and (2) negatively affected by an aggregate measure of social conflict. Unlike in models with exogenous discount rates, steady state equilibria are indeterminate and the set of equilibria is a continuum parameterized by an index of income inequality. Under reasonable assumptions, the relationship between growth and inequality has an inverted-U shape.