Fifty years of mathematical growth theory: Classical topics and new trends

We present an overview of selected contributions of the Journal of Mathematical Economics' authors to growth theory in the last half century. We start with the classical optimal growth theory within a benchmark multisector model and outline the successive developments in the analysis of this model, including the turnpike theory. Different refinements of the benchmark are considered along the way. We then survey the abundant literature on endogenous fluctuations in two -sector models. We conclude with two strong trends in the recent growth literature: green growth and infinite -dimensional growth models.