Discounting long run average growth in stochastic dynamic programs

Summary. Finding solutions to the Bellman equation often relies on restrictive boundedness assumptions. In this paper we develop a method of proof that allows to dispense with the assumption that returns are bounded from above. In applications our assumptions only imply that long run average (expected) growth is sufficiently discounted, in sharp contrast with classical assumptions either absolutely bounding growth or bounding each period (instead of long run) maximum (instead of average) growth. We discuss our work in relation to the literature and provide several examples. Received: July 26, 2000; revised version: July 10, 2002 RID="*" ID="*" I am specially grateful to Cuong Le Van and to anonymous referee for detecting an error in a previous version of this paper and for suggestions that sensibly improved the paper. Comments and suggestions are also acknowledged to Michele Boldrin, Raouf Boucekkine, Fabrice Collard, Tim Kehoe, Omar Licandro, and Luis Puch. I am also indebted to participants to the III Summer School on Economic Theory held at the Universidade de Vigo, the Macroeconomics Workshop at the Universitat Autò}noma de Barcelona, and the Econometrics Seminar at Tilburg University. Financial support from the Belgian government, under project PAI P4/01, at the IRES-UCL, from a European Marie Curie fellowship, Grant HPMF-CT-1999-00410, at the CEPREMAP, and from IVIE and Spanish Ministerio de Ciencia y Tecnología and FEDER, under project BEC2001-0535, at the Universidad de Alicante, is gratefully acknowledged.     

A learning methodology using Matlab/Simulink for undergraduate electrical engineering courses attending to learner satisfaction outcomes

Learner-centred approaches follow the prevailing tendency in modern University reforms which are primarily concerned about “how people learn”. The methodologies can be learner-centred in the sense of placing the student as the main actor of the teaching–learning process by increasing his interactivity and participation, but also considering what is relevant for the student by measuring the learner satisfaction. In order to promote both aspects, this paper proposes a synchronous software-based active methodology that makes use of the simulations to show a virtual scenario to the students and challenge them to predict and discuss the evolution of the scenario. The proposed methodology improves the visual interface, promotes discussion both among students and with the teacher in a brainstorming stage and shows real-world examples. This software-based methodology has been implemented into an Electric Machinery course at the University of Seville (Spain), and the evaluation has been carried out considering both the affective and cognitive domains. Principal components analysis proves to be useful to highlight the dimensions with a higher influence on learner satisfaction and the affective and cognitive results confirm the successful implementation of the proposal.     

Fiscal harmonization in the European Union with public inputs

Fiscal harmonization among the European Union member states is a goal involving major difficulties for its implementation. Each country faces a particular trade-off between fiscal revenues generated by taxation and the productive efficiency loss induced by their respective tax code. This paper provides a quantitative analysis of these trade-offs for a number of the European Union (EU-15) member states using a dynamic general equilibrium model with public inputs. Calibration of the model for the EU-15 member states provides the following results: i) the maximum tax revenue level is relatively far from the current tax levels for most countries; ii) the cases of Sweden, Denmark and Finland are anomalous, as productive efficiency can be gained by lowering tax rates without affecting fiscal revenues; iii) in general, countries would obtain efficiency gains without changing fiscal revenues by reducing the capital tax and increasing the labor tax; and iv) capital tax harmonization to the average capital tax rate can be done with quite small changes in both fiscal revenues and output for most countries.     

Targeting fertility and female participation through the income tax

We evaluate the effect of a 2003 reform in the Spanish income tax on fertility and the employment of mothers with small children. The reform introduced a tax credit for working mothers with children under the age of three, while also increasing child deductions for all households with children. Theoretically, given the interplay of these two components, the expected effect of the reform is ambiguous on both outcomes. We find that the combined reforms significantly increased both fertility (by almost 5%) and the employment rate of mothers with children under three (by 2%). These effects were more pronounced among less-educated women. In addition, to disentangle the impact of the two reform components, we use an earlier reform that increased child deductions in 1999. We find that the child deductions affect mothers' employment negatively, which implies that the 2003 tax credit would have increased employment even more (up to 5%) in the absence of the change in child deductions.     

CSR Policies: Effects on Labour Productivity in Spanish Micro and Small Manufacturing Companies

Journal of Business Ethics - This paper analyses empirical evidence of efforts to enable Spanish micro and small manufacturing companies to boost their labour productivity rates through the...     

The ECB's New Multi-Country Model for the euro area: NMCM — Simulated with rational expectations

The model presented here is an estimated medium-scale New Multi-Country Model (NMCM) which covers the five largest euro area countries and is used for forecasting and scenario analysis at the European Central Bank. The model has a tight theoretical structure which allows for non-unitary elasticity of substitution, non-constant augmenting technical progress and heterogeneous sectors with differentiated price and income elasticities of demand across sectors. Furthermore, it has the explicit inclusion of expectations on the basis of three optimising private sector decision making units: i.e. firms, trade unions and households, where output is in the short run demand-determined and monopolistically competing firms set prices and factor demands. Labour is indivisible and monopoly-unions set wages and households make consumption/saving decisions.We assume that agents optimise under limited information where each agent knows only the parameters related to his/her optimisation problem. Therefore we estimate with GMM, which implicitly assumes limited information boundedly rational expectations. In this paper we provide some simulation results under the assumption of model-consistent rational expectations, we show that there is some heterogeneity across countries and that the reactions of the economies to shocks depend strongly on whether the shocks are pre-announced, announced and credible or unannounced and uncredible.