title: Population growth and optimality:  when does serendipity hold?
abstract: "This note gives the conditions under which there is an interior optimum rate of population growth in a two-generations-overlapping model. These conditions imply complementarity both in production and in consumption. They also validate Samuelson's serendipity theorem."
authors.forename: P
authors.initials: P
authors.lastname: Michel
authors.forename: P
authors.initials: P
authors.lastname: Pestieau
mesh_terms: D003710:Demography; D004467:Economics; D008962:Models, Theoretical; D011153:Population; D011156:Population Density; D011157:Population Dynamics; D011158:Population Growth; D012106:Research; D012942:Social Sciences
keywords: Consumption; Demographic Factors; Demography; Economic Factors; Macroeconomic Factors; Mathematical Model; Models, Theoretical; Optimum Population; Population; Population Dynamics; Population Growth; Population Size; Population Theory; Production; Research Methodology; Social Sciences; World