Existence of Solutions in Continuous-time Optimal Growth Models

Hippolyte d'Albis (1) , Pascal Gourdel (2) , Cuong Le Van (2)

1 GREMAQ - Groupe de recherche en économie mathématique et quantitative
2 CES - Centre d'économie de la Sorbonne

This paper studies the existence of solutions in continuous time optimization problems. It provides a theorem whose conditions can be easily checked in most models of the optimal growth theory, including those with increasing returns and multi-sector economies.

Mots clés: optimization; continuous time; optimal growth

Domaines: Economies et finances; Analyse fonctionnelle [math.FA]; Optimisation et contrôle [math.OC]

Hippolyte d'Albis, Pascal Gourdel, Cuong Le Van. Existence of Solutions in Continuous-time Optimal Growth Models. Economic Theory, 2008, 37 (2), pp.321-333. ⟨10.1007/s00199-007-0294-8⟩. ⟨halshs-00177269⟩