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Empirical findings suggest a positive correlation between inequality and social immobility, a phenomenon coined the Gatsby curve. However, complete explanations of the phenomenon have not yet been proposed. This paper answers two questions: What are Gatsby curves? When do they exist? We build a theoretical environment in which parental investment and education improve the economic prospects of children. Gatsbian economies and Gatsby curves are formally defined, and we characterize thedoi:10.2139/ssrn.3526604 fatcat:doxczcrevbfidjgainbe2rqflm