This thesis is split into three chapters: chapter 1 is about the efficient implementation of the Smolyak Method; chapter 2 proposes alternatives ways to synthetic series with Statistical Learning to assess policies, with two cases of unemployment; and chapter 3 uses the proposals in chapter 2 and applies them to discern the effects of the points based driving licenses in different countries. The first chapter goes in the direction of getting a step closer to the implementation of large economic models in more efficient ways; as will be illustrated, large economic models can be computed in a standard computer. To make this possible the chapter is focused on Smolyak methods, which makes the results applicable not only for economics but for engineering and other fields with large dimensional interpolation problems. It is explained in very simple terms the implementations of Smolyak method. This leads to easy and more efficient implementations by avoiding repetitions that come from the mathematical expressions. Also are studied other techniques for further reduction of the cost of the implementations by stressing the most important dimensions and regions to work with. The main focus of the second chapter is the creation of synthetic or counterfactual series in order to asses policies. Synthetic or counterfactual series are series that express what could have happened if variables had not been introduced, for example changes in policies. In order to evaluate a policy in unemployment, for example, we observe the unemployment, GDP, and other indicators. However we can estimate the synthetic or counterfactual ones for unemployment, GDP or other, and through this difference figure out the effects. In order to do that we currently have different techniques, as Synthetic Control (SC) methods. The role of this chapter is to reinforce previous literature by introducing in the field Statistical Learning techniques, already developed and used for other purposes. This is true until the point that most of these techniques are broadly implemented in scientific software packages making their implementation simple. In this chapter I explain how to apply them for the particular purpose of creating synthetic and counterfactual series and I illustrate that with two real cases of unemployment: a) a reduction of maximum work week hours, from the example of Portugal in 1996; and b) the reduction of firing cost, the example is Spain in 2010. In previous works there is no strong evidence that these types of labor reforms were effective or have a macroeconomic impact. The results are that Portugal enjoyed a reduction of unemployment. For the Spanish case the law showed an apparent increase in unemployment. In the third chapter I study the effect of the Third European Road Safety Action Program (3ERSAP) is studied here. Not only respect when it started to work but, also regarding what would had happened if it had not been implemented. This is a novel assessment of the 3ERSAP, and helps to distinguish effects coming from European collaboration and within each country. Three methods are compared: synthetic control methods (SC), synthetic control with statistical learning (SCSL) and interactive counterfactual effects (ICE). The overall view is that the implementation of the road safety program at European level had larger effects than if the countries had continued their own paths. This paper provides quantitative estimates for each country. At European level it is possible to say that the 3ERSAP in the year 2010 helped to avoid between 13900 and 19400 fatalities. Regarding the different methodologies, an easy way to compare them is provided. In this particular case SCSL tends to perform better than SC and ICE., {"references": ["Abadie, A. (2005). Semiparametric difference-in-differences estimators. The Review of Economic Studies, 72(1):1\u201319.", "Abadie, A., Diamond, A., and Hainmueller, J. (2010). Synthetic control methods for comparative case studies: Estimating the effect of california's tobacco control program. Journal of the American Statistical Association, 105(490):493\u2013 505", "Abadie, A., Diamond, A., and Hainmueller, J. (2015). Comparative politics and the synthetic control method. American Journal of Political Science, 59(2):495\u2013510.", "Abadie, A. and Gardeazabal, J. (2003). The economic costs of conflict: A case study of the basque country. American Economic Review, 93(1):113\u2013132", "Ahn, S. C., Lee, Y. H., and Schmidt, P. (2013). Panel data models with multiple time-varying individual effects. Journal of Econometrics, 174(1):1 \u2013 14.", "Aiyagari, S. R. (1994). Uninsured idiosyncratic risk and aggregate saving. The Quarterly Journal of Economics, pages 659\u2013684.", "Arlot, S., Celisse, A., et al. (2010). A survey of cross-validation procedures for model selection. Statistics surveys, 4:40\u201379.", "Aruoba, S. B., Fern\u00e1ndez-Villaverde, J., and Rubio-Ramirez, J. F. (2006). Comparing solution methods for dynamic equilibrium economies. Journal of Economic dynamics and Control, 30(12):2477\u20132508.", "Askenazy, P. (2013). Working time regulation in france from 1996 to 2012. Cambridge Journal of Economics, page bes084.", "Athey, S. and Imbens, G. (2016). The state of applied econometrics-causality and policy evaluation. arXiv preprint arXiv:1607.00699.", "Bai, J. (2009). Panel data models with interactive fixed effects. Econometrica, 77(4):1229\u20131279.", "Bai, J. and Ng, S. (2002). Determining the number of factors in approximate factor models. Econometrica, 70(1):191\u2013221.", "Bai, J. and Perron, P. (2003). Computation and analysis of multiple structural change models. Journal of applied econometrics, 18(1):1\u201322.", "Barone, G. and Mocetti, S. (2014). Natural disasters, growth and institutions: a tale of two earthquakes. Journal of Urban Economics, 84:52\u201366.", "Barthelmann, V., Novak, E., and Ritter, K. (2000). High dimensional polynomial interpolation on sparse grids. Advances in Computational Mathematics, 12(4):273\u2013288.", "Bellman, R. E. (2015). Adaptive control processes: a guided tour. Princeton university press.", "Benedettini, S., Nicita, A., et al. (2009). Deterrence, incapacitation and enforcement design. evidence from traffic enforcement in italy. Technical report, Department of Economics, University of Siena.", "Billmeier, A. and Nannicini, T. (2013). Assessing economic liberalization episodes: A synthetic control approach. Review of Economics and Statistics, 95(3):983\u20131001", "Brumm, J. and Scheidegger, S. (2015). Using adaptive sparse grids to solve high-dimensional dynamic models. Available at SSRN 2349281.", "Bungartz, H.-J. and Griebel, M. (2004). Sparse grids. Acta numerica, 13:147\u2013 269.", "Burda, M. C. (1992). A note on firing costs and severance benefits in equilibrium unemployment. Scandinavian Journal of Economics, 94(3):479", "Campos, N. F., Coricelli, F., and Moretti, L. (2014). Economic growth and political integration: estimating the benefits from membership in the european union using the synthetic counterfactuals method", "Carroll, C. D. (2006). The method of endogenous gridpoints for solving dynamic stochastic optimization problems. Economics letters, 91(3):312\u2013320.", "Castillo-Manzano, J. I. and Castro-Nu\u00f1o, M. (2012). Driving licenses based on points systems: Efficient road safety strategy or latest fashion in global transport policy? a worldwide meta-analysis. Transport Policy, 21:191 \u2013 201", "Castillo-Manzano, J. I., Castro-Nuno, M., and Fageda, X. (2014a). Could being in the european union save lives? an econometric analysis of the common road safety policy for the eu-27. Journal of European Public Policy, 21(2):211\u2013229.", "Castillo-Manzano, J. I., Castro-Nu\u00f1o, M., and Pedregal, D. J. (2012). How many lives can bloody and shocking road safety advertising save? the case of spain. Transportation research part F: traffic psychology and behaviour, 15(2):174\u2013187.", "Castillo-Manzano, J. I., Castro-Nu\u00f1o, M., and Pedregal, D. J. (2014b). The trend towards convergence in road accident fatality rates in europe: The contributions of non-economic variables. Transport Policy, 35:229\u2013240.", "Cavallo, E., Galiani, S., Noy, I., and Pantano, J. (2013). Catastrophic natural disasters and economic growth. Review of Economics and Statistics, 95(5):1549\u20131561", "CE (2003). Communication from the Commission - European road safety action programme - Halving the number of road accident victims in the European Union by 2010: a shared responsibilit. EUR-Lex.", "Ching, H. S., Hsiao, C., Wan, S. K., and Wang, T. (2011a). Economic benefits of globalization: The impact of entry to the wto on china's growth. Pacific Economic Review, 16(3):285\u2013301.", "Ching, H. S., Hsiao, C., C., WAN, S. K., and Wang, T. (2011b). Economic benefits of globalization: The impact of entry to the wto on china's growth. Pacific Economic Review, 16(3):285\u2013301.", "Chow, G. C. (1960). Tests of equality between sets of coefficients in two linear regressions. Econometrica: Journal of the Econometric Society, pages 591\u2013 605.", "Christiano, L. J. and Fisher, J. D. (2000). Algorithms for solving dynamic models with occasionally binding constraints. Journal of Economic Dynamics and Control, 24(8):1179\u20131232.", "Coleman, C. and Lyon, S. (2013). Efficientimplementationsofsmolyak'salgorithmforfunctionapproximationinpythonandjulia.", "Collier, D. (1993). The comparative method. Political Science: The State of Discipline II, Ada W. Finifter, ed., American Political Science Association.", "Crimmann, A., Wie\u03b2ner, F., Bellmann, L., et al. (2010). The German worksharing scheme: An instrument for the crisis. ILO.", "Delvos, F.-J. (1982). d-variate boolean interpolation. Journal of Approximation Theory, 34(2):99 \u2013 114.", "Den Haan, W. J. (1990). The optimal inflation path in a sidrauski-type model with uncertainty. Journal of Monetary Economics, 25(3):389\u2013409.", "Dolado, J. J., Garc\u00eda-Serrano, C., and Jimeno, J. F. (2002). Drawing lessons from the boom of temporary jobs in spain. The Economic Journal, 112(480):F270\u2013F295.", "Doudchenko, N. and Imbens, G. W. (2016). Balancing, regression, differencein-differences and synthetic control methods: A synthesis. Technical report, National Bureau of Economic Research.", "EC (2001). White paper: European transport policy for 2010: time to decide. Commission of the European Communities", "Efron, B., Hastie, T., Johnstone, I., Tibshirani, R., et al. (2004). Least angle regression. The Annals of statistics, 32(2):407\u2013499.", "Engstr\u00f6m, I., Gregersen, N. P., Hernetkoski, K., Keskinen, E., and Nyberg, A. (2003). Young novice drivers, driver education and training. Literature Review. VTI Report A, 491.", "Fern\u00e1ndez, C. and Garcia-Perea, P. (2015). The impact of the euro on euro area gdp per capita.", "Fern\u00e1ndez-Villaverde, J., Gordon, G., Guerr\u00f3n-Quintana, P., and RubioRamirez, J. F. (2015). Nonlinear adventures at the zero lower bound. Journal of Economic Dynamics and Control, 57:182\u2013204.", "Fisher, S. R. A., Fisher, R. A., Genetiker, S., Fisher, R. A., Genetician, S., Britain, G., Fisher, R. A., and G\u00e9n\u00e9ticien, S. (1960). The design of experiments", "Freeman, R. (1998). Work-sharing to full employment: serious option or populist fallacy? Generating jobs: How to increase demand for less-skilled workers.", "Garcke, J. (2006). Regression with the optimised combination technique. In Proceedings of the 23rd international conference on Machine learning, pages 321\u2013328. ACM.", "Garcke, J. et al. (2011). Sparse grid tutorial. preprint.", "Gary Chamberlain, M. R. (1983). Arbitrage, factor structure, and meanvariance analysis on large asset markets. Econometrica, 51(5):1281\u20131304.", "Gaspar, J. and Judd, K. (1997a). Solvinglarge-scalerational-expectationsmodels. Macroecon.Dyn., 1:45\u201375.", "Gaspar, J. and Judd, K. L. (1997b). Solving large-scale rational-expectations models. Macroeconomic Dynamics, 1(01):45\u201375.", "Gavilan-Gonzalez, A. and Rojas, J. A. (2009). Solving portfolio problems with the smolyak-parameterized expectations algorithm.", "Gerstner, T. and Griebel, M. (1998). Numerical integration using sparse grids. Numerical Algorithms, 18(3):209.", "Gerstner, T. and Griebel, M. (2003). Dimension\u2013adaptive tensor\u2013product quadrature. Computing, 71(1):65\u201387.", "Ginsburg, T. (2004). Legal reform in Korea, volume 5. Routledge", "Gobillon, L. and Magnac, T. (2015). Regional policy evaluation: Interactive fixed effects and synthetic controls. Review of Economics and Statistics, (0).", "Gordon, G. (2011). Computing dynamic heterogeneous-agent economies: Tracking the distribution.", "Griebel, M. (1998). Adaptive sparse grid multilevel methods for elliptic pdes based on finite differences. Computing, 61(2):151\u2013179.", "Haan, W. J. D. (1990). The optimal inflation path in a sidrauski-type model with uncertainty. Journal of Monetary Economics, 25(3):389 \u2013 409.", "Hansen, B. E. and Racine, J. S. (2012). Jackknife model averaging. Journal of Econometrics, 167(1):38\u201346.", "Hastie, T., Tibshirani, R., and Friedman, J. (2009). Unsupervised learning. In The elements of statistical learning, pages 485\u2013585. Springer.", "Hoerl, A. E. and Kennard, R. W. (1970). Ridge regression: Biased estimation for nonorthogonal problems. Technometrics, 12(1):55\u201367.", "Houpis, G. et al. (1993). The effect of lower hours of work on wages and employment. Technical report, Centre for Economic Performance, LSE.", "Hsiao, C., Steve Ching, H., and Ki Wan, S. (2012). A panel data approach for program evaluation: Measuring the benefits of political and economic integration of hong kong with mainland china. Journal of Applied Econometrics, 27(5):705\u2013740", "Huggett, M. (1993). The risk-free rate in heterogeneous-agent incompleteinsurance economies. Journal of Economic Dynamics and Control, 17(5):953 \u2013 969", "Hunt, J. (1996a). Has work-sharing worked in germany? Technical report, National Bureau of Economic Research.", "Hunt, J. (1996b). The response of wages and actual hours worked to the reductions of standard hours. Technical report, National bureau of economic research.", "IRTAD (2010). Road Safety Annual Report 2009. Internation Transport Forum.", "IRTAD (2012a). Road Safety Annual Report 2011. Internation Transport Forum.", "IRTAD (2012b). Road Safety Annual Report 2011. Internation Transport Forum.", "IRTAD (2013). Road Safety Annual Report 2013. Internation Transport Forum.", "ITF (2015). Road safety annual report 2015. OECD Publishing.", "Izquierdo, F. A., Ram\u00edrez, B. A., McWilliams, J. M., and Ayuso, J. P. (2011). The endurance of the effects of the penalty point system in spain three years after. main influencing factors. Accident Analysis & Prevention, 43(3):911\u2013 922", "Jacobson, T. and Ohlsson, H. (2000). Working time, employment, and work sharing: evidence from sweden. Empirical Economics, 25(1):169\u2013187.", "Jakeman, J. D. and Roberts, S. G. (2011). Local and dimension adaptive sparse grid interpolation and quadrature. arXiv preprint arXiv:1110.0010.", "James H. Stock, M. W. W. (2002). Forecasting using principal components from a large number of predictors. Journal of the American Statistical Association, 97(460):1167\u20131179.", "James J. Heckman, Hidehiko Ichimura, P. E. T. (1997). Matching as an econometric evaluation estimator: Evidence from evaluating a job training programme. The Review of Economic Studies, 64(4):605\u2013654.", "Jones, R. H. (1980). Maximum likelihood fitting of arma models to time series with missing observations. Technometrics, 22(3):389\u2013395.", "Judd, K. L. (1992). Projection methods for solving aggregate growth models. Journal of Economic Theory, 58(2):410 \u2013 452.", "Judd, K. L. (1998). Numerical methods in economics. MIT press.", "Judd, K. L., Maliar, L., and Maliar, S. (2010). A cluster-grid projection method: solving problems with high dimensionality. Technical report, National Bureau of Economic Research.", "Judd, K. L., Maliar, L., and Maliar, S. (2011). Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models. Quantitative Economics, 2(2):173\u2013210.", "Judd, K. L., Maliar, L., and Maliar, S. (2012). Merging simulation and projection approaches to solve high-dimensional problems. Technical report, National Bureau of Economic Research", "Kapteyn, A., Kalwij, A., and Zaidi, A. (2004). The myth of worksharing. Labour Economics, 11(3):293\u2013313.", "Kim, D. and Oka, T. (2014). Divorce law reforms and divorce rates in the usa: An interactive fixed-effects approach. Journal of Applied Econometrics, 29(2):231\u2013245.", "Klimke, A. (2007). Sparse grid interpolation toolbox\u2013user's guide. IANS report, 17.", "Klimke, A. and Wohlmuth, B. (2005). Algorithm 847: spinterp: Piecewise multilinear hierarchical sparse grid interpolation in matlab. ACM Transactions on Mathematical Software (TOMS), 31(4):561\u2013579", "Kohavi, R. et al. (1995). A study of cross-validation and bootstrap for accuracy estimation and model selection. In Ijcai, volume 14, pages 1137\u20131145.", "Kollmann, R., Maliar, S., Malin, B. A., and Pichler, P. (2011). Comparison of solutions to the multi-country real business cycle model. Journal of Economic Dynamics and Control, 35(2):186 \u2013 202. Computational Suite of Models with Heterogeneous Agents II: Multi-Country Real Business Cycle Models", "Krueger, D. and Kubler, F. (2004). Computing equilibrium in {OLG} models with stochastic production. Journal of Economic Dynamics and Control, 28(7):1411 \u2013 1436", "Krueger, D. and Kubler, F. (2006). Pareto-improving social security reform when financial markets are incomplete!? The American Economic Review, 96(3):737\u2013755", "Krusell, P. and Smith, Jr, A. A. (1998). Income and wealth heterogeneity in the macroeconomy. Journal of political Economy, 106(5):867\u2013896.", "Kugler, A. D. (1999). The impact of firing costs on turnover and unemployment: Evidence from the colombian labour market reform. International Tax and Public Finance, 6(3):389\u2013410.", "Lijphart, A. (1971). Comparative politics and the comparative method. American political science review, 65(03):682\u2013693.", "Maliar, L. (2013). Assessing gains from parallel computation on supercomputers. Available at SSRN 2270804.", "Maliar, L. and Maliar, S. (2005a). Solving nonlinear dynamic stochastic models: an algorithm computing value function by simulations. Economics Letters, 87(1):135 \u2013 140.", "Maliar, L. and Maliar, S. (2005b). Solving nonlinear stochastic growth models: iterating on value function by simulations. Economics Letters, 87:135\u2013140.", "Maliar, L. and Maliar, S. (2013). Envelope condition method versus endogenous grid method for solving dynamic programming problems. Economics Letters, 120(2):262 \u2013 266.", "Maliar, L. and Maliar, S. (2014). Numerical methods for large scale dynamic economic models. Handbook of computational economics, 3:325\u2013477.", "Maliar, L. and Maliar, S. (2015). Merging simulation and projection approaches to solve high-dimensional problems with an application to a new keynesian model. Quantitative Economics, 6(1):1\u201347.", "Maliar, L., Maliar, S., and Valero, R. (2014). Error bounds for anisotropic smolyak formula. Manuscript.", "Maliar, S., Maliar, L., and Judd, K. (2011). Solving the multi-country real business cycle model using ergodic set methods. Journal of Economic Dynamics and Control, 35(2):207 \u2013 228. Computational Suite of Models with Heterogeneous Agents II: Multi-Country Real Business Cycle Models", "Malin, B. A., Krueger, D., and Kubler, F. (2011). Solving the multi-country real business cycle model using a smolyak-collocation method. Journal of Economic Dynamics and Control, 35(2):229\u2013239.", "Marcet, A. (1991). Solving non-linear stochastic models by parameterizing expectations: An application to asset pricing with production", "Marcet, A. and Lorenzoni, G. (1998). Parameterized expectations approach; some practical issues.", "Marcet, A. and Sargent, T. J. (1989a). Convergence of least-squares learning in environments with hidden state variables and private information. Journal of Political Economy, 97(6):1306\u20131322.", "Marcet, A. and Sargent, T. J. (1989b). Convergence of least-squares learning in environments with hidden state variables and private information. The Journal of Political Economy, pages 1306\u20131322.", "Miller, A. (2002). Subset selection in regression. CRC Press.", "Miranda, M. J. and Helmberger, P. G. (1988). The effects of commodity price stabilization programs. The American Economic Review, pages 46\u201358.", "Patterson, T. c. (1968). The optimum addition of points to quadrature formulae. Mathematics of Computation, 22(104):847\u2013856.", "Pesaran, M. H. (2006). Estimation and inference in large heterogeneous panels with a multifactor error structure. Econometrica, 74(4):967\u20131012.", "Petras, K. (2001). Fast calculation of coefficients in the smolyak algorithm. Numerical Algorithms, 26(2):93\u2013109.", "Pissarides, C. A. (1985). Taxes, subsidies and equilibrium unemployment. The review of economic studies, 52(1):121\u2013133.", "Powell, W. B. (2011). Approximating value functions. Approximate Dynamic Programming: Solving the Curses of Dimensionality, pages 225\u2013269.", "Quarteroni, A., Sacco, R., and Saleri, F. (2010). Numerical mathematics, volume 37. Springer Science & Business Media.", "Raposo, P. S. and van Ours, J. C. (2010). How working time reduction affects jobs and wages. Economics Letters, 106(1):61\u201363.", "R\u00edos-Rull, J.-V. (1999). Computation of equilibria in. Computational methods for the study of dynamic economies, page 238.", "Rosenbaum, P. R. (2012). Heterogeneity and causality. The American Statistician.", "Rudolf, R. (2014). Work shorter, be happier? longitudinal evidence from the korean five-day working policy. Journal of happiness studies, 15(5):1139\u20131163.", "Rudolf, R., Cho, S.-Y., et al. (2011). The gender-specific effect of working hours on family happiness in south korea. Technical report, Courant Research Centre PEG.", "Rust, J. (1997). Using randomization to break the curse of dimensionality. Econometrica, 65(3):487\u2013516", "S\u00e1nchez, R. (2013). Do reductions of standard hours affect employment transitions?: Evidence from chile. Labour Economics, 20:24\u201337", "Skuterud, M. (2007). Identifying the potential of work-sharing as a job-creation strategy. Journal of Labor Economics, 25(2):265\u2013287.", "Smith, A., editor (1991a). Solving stochastic dynamic programming problems using rules of thumb.", "Smith, A. A. (1991b). Solving stochastic dynamic programming problems using rules of thumb. Kingston, Ont.: Institute for Economic Research, Queen's University.", "Smith, A. A. (1993). Estimating nonlinear time-series models using simulated vector autoregressions. Journal of Applied Econometrics, 8(S1):S63\u2013S84", "Smolyak, S. A. (1963). Quadrature and interpolation formulas for tensor products of certain classes of functions. In Dokl. Akad. Nauk SSSR, volume 4, page 123.", "Tauchen, G. and Hussey, R. (1991). Quadrature-based methods for obtaining approximate solutions to nonlinear asset pricing models. Econometrica, 59(2):371\u2013396.", "Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society. Series B (Methodological), pages 267\u2013288.", "Trevor Hastie, R. T. and Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Predicti