20 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.

    Acceptance conditions in automated negotiation

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    In every negotiation with a deadline, one of the negotiating parties has to accept an offer to avoid a break off. A break off is usually an undesirable outcome for both parties, therefore it is important that a negotiator employs a proficient mechanism to decide under which conditions to accept. When designing such conditions one is faced with the acceptance dilemma: accepting the current offer may be suboptimal, as better offers may still be presented. On the other hand, accepting too late may prevent an agreement from being reached, resulting in a break off with no gain for either party. Motivated by the challenges of bilateral negotiations between automated agents and by the results and insights of the automated negotiating agents competition (ANAC), we classify and compare state-of-the-art generic acceptance conditions. We focus on decoupled acceptance conditions, i.e. conditions that do not depend on the bidding strategy that is used. We performed extensive experiments to compare the performance of acceptance conditions in combination with a broad range of bidding strategies and negotiation domains. Furthermore we propose new acceptance conditions and we demonstrate that they outperform the other conditions that we study. In particular, it is shown that they outperform the standard acceptance condition of comparing the current offer with the offer the agent is ready to send out. We also provide insight in to why some conditions work better than others and investigate correlations between the properties of the negotiation environment and the efficacy of acceptance conditions.MediamaticsElectrical Engineering, Mathematics and Computer Scienc

    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
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