13 research outputs found

    On the equilibrium in a discrete-time Lucas Model

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    In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing. If the instantaneous utility function and the production function are Cobb-Douglas, I prove that the human capital sequence grow at a constant rate. I finish by studying the existence and the unicity of the equilibrium in the sense of Lucas or Romer.Lucas Model, human capital, externalities, optimal growth, equilibrium.

    On the equilibrium in a discrete-time Lucas Model

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    URL des Cahiers : https://halshs.archives-ouvertes.fr/CAHIERS-MSECahiers de la Maison des Sciences Economiques 2006.54 - ISSN 1624-0340In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing. If the instantaneous utility function and the production function are Cobb-Douglas, I prove that the human capital sequence grow at a constant rate. I finish by studying the existence and the unicity of the equilibrium in the sense of Lucas or Romer.Dans cet article, j'étudie une version du modèle de Lucas avec temps discrets et des loisirs endogènes, mais sans capital physique. Sous des conditions standard, je montre que la séquence optimale de capital humain est croissante. Si la fonction d'utilité instantanée et la fonction de production sont Cobb-Douglas, je montre que la séquence optimale de capital humain croit à un taux constant. Je finis par montrer l'existence et l'unicité de l'équilibre au sens de Lucas ou de Romer

    A Generalisation of the Trapezoidal Rule for the Riemann-Stieltjes Integral and Applications

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    A generalisation of the trapezoid rule for the Riemann-Stieltjes integral and applications for special means are given

    On the equilibrium in a discrete-time Lucas Model with endogenous leisure.

    No full text
    In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing. If the instantaneous utility function and the production function are Cobb-Douglas, I prove that the human capital sequence grow at a constant rate. I finish by studying the existence and the unicity of the equilibrium in the sense of Lucas or Romer.Lucas Model, human capital, externalities, optimal growth, equilibrium.

    Further bounds for Cebysev functional for power series in banach algebras via Grüss-Lupas type inequalities for p-norms

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    Some Grüss-Lupas type inequalities for p-norms of sequences in Banach algebras are obtained. Moreover, if f(λ)=Σ^^∞__α_nλ^n is a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R > 0 and x,y ∈ B, a Banach algebra, with xy = yx, then we also establish some new upper bounds for the norm of the Cebysev type difference f(λ)f(λxy) - f(λx)f(λy), λ ∈ D(0,R). These results build upon the earlier results obtained by the authors. Applications for some fundamental functions such as the exponential function and the resolvent function are provided as well

    Further Bounds for Cebysev Functional for Power Series in Banach Algebras Via Gruss-Lupas Type Inequalities for Rho-Norms

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    Title on article: Further Bounds for Čebyšev Functional for Power Series in Banach Algebras Via Grüss-Lupaş Type Inequalities for ρ-Norm
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