Browsing by Author "Le Van, C."

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    A direct proof of the Gale–Nikaido–Debreu lemma using Sperner’s lemma
    (Springer, 2022-09) Le, T.; Le Van, C.; Pham, N.-S.; Sağlam, Çağrı
    The Gale–Nikaido–Debreu lemma plays an important role in establishing the existence of competitive equilibrium. In this paper, we use Sperner’s lemma and basic elements of topology to prove the Gale–Nikaido–Debreu lemma.
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    Optimal control in infinite horizon problems: a Sobolev space approach
    (Springer, 2007) Le Van, C.; Boucekkine, R.; Saglam, C.
    In this paper, we make use of the Sobolev space W{1,1}ℝ+, ℝn to derive at once the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition. An application to the Ramsey model is given. We use an order ideal argument to solve the problem inherent to the fact that L 1 spaces have natural positive cones with no interior points. © Springer-Verlag 2007.
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    Optimal timing of regime switching in optimal growth models: a Sobolev space approach
    (Elsevier BV, 2011) Dogan, E.; Le Van, C.; Saglam, C.
    This paper analyses the optimal timing of switching between alternative and consecutive regimes in optimal growth models. We derive the appropriate necessary conditions for such problems by means of standard techniques from the calculus of variations and some basic properties of Sobolev spaces. © 2010 Elsevier B.V.