Existence of a competitive equilibrium in the Lucas (1988) model without physical capital

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

“…Several papers more specifically focusing on equilibrium dynamics have been of course published, see for example, Le Van et al [82]. 3 The integration of turnpike theory and equilibrium theory has been also central in a number of important JME papers, a remarkable one due to Bewley [26]. With all these observations made, it's difficult to not start our overview with a benchmark multisector optimal growth model.…”

“…An elementary literature search in the website of the journal with the keywords "growth theory" plus "capital accumulation" returns 107 published papers 3. Many of these contributions typically consider settings with heterogenous agents and/or with endogenous growth.…”

Note on global dynamics and imbalance effects in the Lucas–Uzawa model

“…The Lucas–Uzawa model has been at the heart of macroeconomic research for many decades, and is still widely considered as a fundamental benchmark for ongoing research programs in many fields, notably in economic development and growth theory (see e.g. d'Albis and Le Van 2006). Two characteristics of the model make it, however, nontrivial mathematically speaking: it is a two‐sector model (with two controls and two state variables), which induces a much larger set of optimality conditions compared to the typical Ramsey model, and it is an endogenous growth model.…”