Summary of real functions of a real variable. Main properties and definitions, elementary functions, derivatives and derivation rules. Second order derivatives, chain rule, monotonicity and first derivative, second order derivative and convexity NSC for the existence of local maxima and minima. Global max and min. Weierstrass theorem.
Topology and metrics of the n-dimensional real space. Sequences. Open sets. Closed sets. Compact sets.
Functions of several variables. Definition and examples. Level curves. Linear functions and quadratic forms. Continuous functions and Weierstrass theorem.
Differential calculation for several variables functions. Partial derivatives. Differential and tangent plane. Gradient and Jacobian matrix. Approximations by differentials. Darivative along a curve. Directional derivative. Chain rule. Second order derivatives and Hessian matrix.
Implicit function theorem: Case of a function in two variables. Geometric interpretation. Case of a function in several variables. Linear case: m equations, n+m variables. General case of systems of m equations and n+m variables. Inverse function theorem.
Static optimization. Free optimization. NC for the existence of local maxima and minima. Stationary points. Definite and semidefinite quadratic forms. Criterion for 2 or 3 variables. Second order SC for the existence of local free maxima and minima. Constrained optimization. Equality constraints. NC for the existence of local maxima and minima. Inequality constraints: NC for the existence of local maxima and minima. Kuhn-Tucker conditions for non-negative variables. Interpretation of the Lagrange multiplier.
Homogeneous functions. Geometric definition and properties. Euler theorem. Homothetical functions
Concave and convex functions. Definitions and geometrical properties. Properties and characterization. Concavity and sign of the Hessian matrix. Quasiconcave and quasiconvex functions. Cobb-Douglas functions. Pseudoconcave functions Free and constrained optimization in hypothesis of quasiconvexity and quasiconcavity.
Dynamical models: Malthus model in discrete and continuous time. Dynamical models in continuous and discrete time. Definition of differential equation and difference equations. Existence and uniqueness of solutions for first order difference equations.
Calculus of variations. Definition of a problem of calculation of variations. Euler equation in integral form (w.p.). Euler-Lagrange equation. Transversality conditions. Sufficient conditions in hypothesis of concavity or convexity.
Optimal control theory: Optimal control problem (in discrete and continuous time). Pontryagin maximum principle. Sufficient conditions in hypothesis of concavity.
Dynamic programming. Finite horizon and discrete time: Bellman’s principle. Dynamic programming principle. Bellman's equation and optimization conditions.
(w.p.)=”with proof”.

Textbooks
• Simon & Blume “Matematica per le scienze economiche” ed Egea.
• Salsa & Squellati “Modelli dinamici e controllo ottimo” ed. Egea: chapter 1 (pp.1-6, 17-26), chapter 3 (pp.69-73, 78-79) , chapter 9 (pp. 211-232), chapter 10 (pp. 245-249, 277-288); chapter 11 (pp. 293-296, 304-310).

Section 1: the Economics of Innovation
- Introduction to the Economics of Innovation
- Innovation and Performance: Growth, Employment, Productivity, Export, Environment
- The theoretical foundations of Science, Innovation and Technology Policies
- The role of Intellectual Property Rights
- Subsidies and tax credit for R&D
- Public policies for eco-innovation
Section 2: The Italian case
- The characteristics of the Italian production system
- The role of public enterprises in the industrial development of Italy
- The Italian National Innovation System
- Industrial Policies in Italy
Section 3: European Regional Policies to promote business investment in innovation activities
- Structural Funds for Cohesion Policies
- The objectives of the 2014-2020 programming period
- he effects of cohesion policies on firms’ performances

- Franco Malerba, Economia dell’Innovazione, Carocci editore, Capitoli:1,5,13,14,16,17,18.
- Luciano Gallino, 2003, La scomparsa dell’Italia industriale, Einaudi.
- Mariana Mazzucato, Lo Stato Innovatore, Laterza 2014.

Part I: Introduction to data analysis and exploratory tecniques
- Data frames
- Cluster analysis
- Principal component analysis

Part 2: Normal linear regression and its generalizations
- Polynomial regression
- Multiple regression
- Logistic and multinomial regression
- Beta regression
- Poisson and negative binomial regression

Part 3: Panel data analysis
- Balanced and unbalanced panel, micro and macro panel
- Modeling the level of the dependent variable
- Modeling change of the dependent variable
- Fixed effects and random effects models for categorical variables and continuous variables

Chatterjee, S. and Hadi, A.S. (2012), Regression Analysis by Example, 5th Edition, Wiley. Chapters: 1, 2, 3 (excluding 3.9), 4 (excluding 4.3, 4.9.2, 4.9.3, 4.10, 4.12, 4.13, 4.14), 5 (excluding 5.6 and 5.7), 6 (excluding 6.6 and 6.7), 9, 11, 12 (excluding 12.8.3 and 12.8.4), 13 (excluding 13.5, 13.6, 13.7).

Fox,J. and Weisberg, S. (2010), An R companion to applied regression, 2nd Edition, SAGE publications
Inc.

Andreb, H-J, Golsch, K., Schmidt, A.W. (2013), Applied panel data analysis for economic and social
surveys, Springer. Chapters: 1, 2, 3, 4

Relationship between two or more variables: independence, association; concordance.
Linear regression; Multiple regression. Case studies.
Data reduction: composite indicators, principal component analysis
Cluster analysis

Introductory Statistics with R, P. Dalgaard, Springer.

An Introduction to Applied Multivariate Analysis with R, B. Everitt, T. Hothorn, Springer.

THE MULTIPLE LINEAR REGRESSION MODEL. INTERPRETATION AND COMPARISON OF REGRESSION MODELS. HETEROSCHEDASTICITY AND AUTOCORRELATION. ENDOGENITY AND INSTRUMENTAL VARIABLES.

MODELS WITH LIMITED DEPENDENT VARIABLES. BINARY CHOICE MODELS: PROBIT AND LOGIT MODELS. MULTIPLE-CHOICE MODELS: PROBIT AND LOGIT MODELS ORDERED, LOGIT MODEL MULTINOMIAL. MODELS FOR COUNTING DATA. TOBIT MODELS.
Seemingly Unrelated Regression (SUR): ESTIMATION AND TESTING METHODS.
SIMULTANEOUS EQUATIONS Model (SEM).
MODELS FOR PANEL DATA. THE STATIC LINEAR MODEL: FIXED EFFECT MODELS; RANDOM EFFECT MODELS. ESTIMATORS WITHIN AND BETWEEN. HETEROSCHEDASTICITY AND AUTOCORRELATION TESTS. DYNAMIC MODELS FOR PANEL DATA: THE ARELLANO-BOND ESTIMATOR.
MODELS WITH LAGGED VARIABLES: DYNAMIC REGRESSION MODELS, MODELS WITH DISTRIBUTED LAGS (DL, ARDL).

For the course program students can consult the following texts (the first three can be considered alternative among them)
1) Introduzione all'Econometria, J. H. Stock, M. W. Watson, Ed. Pearson
2) Econometrica, J. Johnston, Ed. Franco Angeli
3) Econometria, M. Verbeek, Ed. Zanichelli
4) Lectures on advanced econometrics, L. Pieraccini, Ed. Aracne
5) Introduction to Time Series Analysis and Forecasting, D. C. Montgomery, C. L. Jennings, M. Kulahci, Ed. Wiley

Some of the topics in the course can also be found in
Introductory Econometrics for Finance, C. Brooks, Cambridge University Press

For introductory references of statistical inference and algebra of matrices students can consult:
Fondamenti di Inferenza Statistica, L. Pieraccini, Ed. Giappichelli
Matrix Differential Calculus in Statistics and Econometrics, J. R. Magnus, H. Neudecker, Ed. Wiley Series in Probability and Statistics

For the laboratory course with R, students can consult one of the following texts:
Introductory Statistics with R, P. Dalgaard, Ed. Springer
An Introduction to Applied Multivariate Analysis with R, B. Everitt, T. Hothorn, Ed. Springer

1. L'AMMINISTRAZIONE E IL SUO DIRITTO - ORDINAMENTO GIURIDICO E AMMINISTRAZIONE: LA DISCIPLINA COSTITUZIONALE.
2. L'ORGANIZZAZIONE AMMINISTRATIVA: PROFILI GENERALI - L'ORGANIZZAZIONE DEGLI ENTI PUBBLICI - LE AUTORITÀ AMMINISTRATIVE INDIPENDENTI.
3. L’EVOLUZIONE DELLO STATO A PUBBLICA AMMINISTRAZIONE - STATO LIBERALE E STATO SOCIALE - DIMENSIONAMENTO DELLO STATO SOCIALE E DIRITTO COMUNITARIO - PRIVATIZZAZIONE DEGLI ENTI PUBBLICI ECONOMICI.
4. IL RAPPORTO DI LAVORO CON LA PUBBLICA AMMINISTRAZIONE – LA PRIVATIZZAZIONE – LA DIRIGENZA PUBBLICA.
5. LE SITUAZIONI GIURIDICHE SOGGETTIVE NEI CONFRONTI DELLA PUBBLICA AMMINISTRAZIONE E LE RELATIVE VICENDE - IL PROCEDIMENTO AMMINISTRATIVO - IL PROVVEDIMENTO: VALIDITÀ ED EFFICACIA.
6. OBBLIGAZIONI, CONTRATTI E RESPONSABILITÀ DELLA PUBBLICA AMMINISTRAZIONE.
7. LA TUTELA GIURISDIZIONALE NEI CONFRONTI DELLA PUBBLICA AMMINISTRAZIONE.

PER LA PREPARAZIONE ALL’ESAME SI CONSIGLIA IL SEGUENTE PROGRAMMA:

STUDENTI NON FREQUENTANTI.

- V. CERULLI IRELLI, LINEAMENTI DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2011, DA PAG. 1 A PAG. 542.
OPPURE
- G. CORSO, MANUALE DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2008 DA PAG. 1 A PAG. 516.
OPPURE
- E. CASETTA, COMPENDIO DI DIRITTO AMMINISTRATIVO, MILANO, GIUFFRÈ, 2010, CAPITOLI DA I A IX, CAP. X, SEZ.I.
OPPURE
- D. SORACE, DIRITTO DELLE PUBBLICHE AMMINISTRAZIONI, BOLOGNA, MULINO, 2010, IN CORSO DI PUBBLICAZIONE.
OPPURE
- MAZZAROLLI, PERICU, ALB. ROMANO, ROVERSI MONACO, SCOCA (A CURA DI), DIRITTO AMMINISTRATIVO, VOL. I, BOLOGNA, MONDUZZI, 2005.

SI CONSIGLIA ALTRESÌ LA LETTURA DI:
P. LAZZARA, GLI ATTI E I PROVVEDIMENTI, IN MANUALE DI DIRITTO PUBBLICO, A CURA DI F. FRACCHIA, NAPOLI, EDITORIALE SCIENTIFICA, 2010, PAGG. 225 – 237.

STUDENTI FREQUENTANTI.

- V. CERULLI IRELLI, LINEAMENTI DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2011, DA PAG. 233 A PAG. 542.
OPPURE,
- G. CORSO, MANUALE DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2010, DA PAG. 167 A PAG. 444.

GLI STUDENTI FREQUENTANTI POTRANNO SVOLGERE APPROFONDIMENTI SU ARGOMENTI DA CONCORDARE CON IL DOCENTE. I RELATIVI RISULTATI SARANNO DISCUSSI IN FORMA SEMINARIALE.
DURANTE IL CORSO SARANNO ORGANIZZATI INCONTRI DI APPROFONDIMENTO E DI AGGIORNAMENTO SU TEMI DI ATTUALITÀ.

LO STUDIO DEVE ESSERE SVOLTO UTILIZZANDO LE FONTI PIÙ IMPORTANTI DEL DIRITTO AMMINISTRATIVO. SI SEGNALANO IN PARTICOLARE: L. 23 AGOSTO 1988, N. 400 (ART. 17) (IN TEMA DI REGOLAMENTI DEL GOVERNO); L. 7 AGOSTO 1990, N. 241 (IN TEMA DI PROCEDIMENTO AMMINISTRATIVO E ACCESSO AI DOCUMENTI), AGGIORNATA CON LE L. 15/2005, 80/2005 E 69/2009; D.LGS. 30 LUGLIO 1999, N. 300 (IN TEMA DI AMMINISTRAZIONE DELLO STATO E MINISTERI); D.LGS. 30 MARZO 2001, N. 165 (IN TEMA DI ORGANIZZAZIONE DELLE AMMINISTRAZIONI PUBBLICHE), NONCHÉ LE L 20 MARZO 1865, N. 2248 (ALL. E), R.D. 26 GIUGNO 1924, N. 1054, L. 6 DICEMBRE 1971, N. 1034, D.LGS. 31 MARZO 1998, N. 80 E L. 21 LUGLIO 2000, N. 205 E SUCC. MOD. (IN TEMA DI GIUSTIZIA AMMINISTRATIVA). E’ INDISPENSABILE LA CONOSCENZA DELLA COSTITUZIONE DELLA REPUBBLICA ITALIANA COME MODIFICATA CON L. COST. 18 OTTOBRE 2001, N. 3 (DI RIFORMA DEL TITOLO V DELLA PARTE SECONDA).

PER IL REPERIMENTO DELLE FONTI NORMATIVE SI PUÒ CONSULTARE LA GAZZETTA UFFICIALE, NONCHÉ, SOLTANTO PER GLI ATTI LEGISLATIVI ENTRATI IN VIGORE A PARTIRE DALLA XIII LEGISLATURA (1996), IL SITO INTERNET DEL PARLAMENTO O ALTRI SITI PRESENTI NELLA RETE. N.B.: IN QUESTO MODO SI ACCEDE AL TESTO ORIGINARIO DELLE FONTI NON AGGIORNATO CON LE MODIFICHE SUCCESSIVE.

PER DISPORRE DEL TESTO AGGIORNATO PUÒ ESSERE UTILE L'IMPIEGO DI UN "CODICE AMMINISTRATIVO" (ESISTONO IN COMMERCIO VARIE RACCOLTE), CON L'AVVERTENZA DI UTILIZZARE UN'EDIZIONE RECENTE. IN PARTICOLARE SI PUÒ FAR RIFERIMENTO A M. CAMMELLI, G. SCIULLO, CODICE BREVE DELLE AMMINISTRAZIONI PUBBLICHE ,ZANICHELLI, BOLOGNA, ULTIMA EDIZIONE DISPONIBILE OPPURE A F.A. ROVERSI MONACO, L. VANDELLI, CODICE BREVE DI DIRITTO AMMINISTRATIVO , MAGGIOLI, RIMINI, ULTIMA EDIZIONE DISPONIBILE.

1. Introduction to Environmental Economics
1.1 Introduction and general information about the course (programme in detail, final exam, textbooks, other material, dropbox folder)
1.2 Definition of externality
1.3 Public goods
1.4 Property rights (public, private, collective) and the Coase theorem
1.5 Pollution (local, national, transboundary, global)
1.6 Natural resources (renewable, exhaustible)

2. Monetary value of externalities
2.1 Contingent valuation method: Willingness to Pay versus Willingness to Accept
2.2 Hedonic price and transport cost methods
2.3 Cost-benefit analysis
2.4 Discounting

3. Monetary value of resource exploitation
3.1 Hotelling rule
3.2 Net Present Value method

4. Environmental Accounts
4.1 Input Output approaches and databases (NAMEA, WIOD, EXIOMOD)
4.2 Satellite Accounts (EPEA), alternative measures of GDP (Genuine saving, Green GNP)

5 Sustainable Development
5.1 Definition and measure
5.2 Recent debate: from the Fitoussi Commission to the SDGs agenda
5.3 Alternative measures of well-being including environment

6 Specific topics
6.1 Payment for environmental services
6.2 Renewable resources (forestry, fishery, water)
6.3 Waste management
6.4 Energy
6.5 Climate change

7 Environmental policies
7.1 Geographical scales for policies (local, national, global)
7.2 Environmental policies (demand-pull vs. supply-push, price-based vs. quantity-based, tax, permits, standards)
7.3 International environmental policies (SDGs, Roadmap2050, 450PPM, low-carbon strategy)

8 Environmental innovation
8.1 Eco-innovation: complexity, dynamics, evolution and trajectories
8.2 Eco-innovation policies
8.3 Case study 1: biofuels
8.4 Case study 2: energy efficiency

9 Multi-dimensional issues
9.1 Environment and food security
9.2 Environment and trade
9.3 Environment and innovation: green growth and win-win strategies
9.4 Environmental Kuznets Curve
9.5 Resource Curse Hypothesis

Tietenberg T., Lewis L. (2012), Environmental & Natural Resource Economics, 9th Edition, US: Pearson Education.

Part I: Energy Economics
1. World Energy Outlook
2. Energy security and energy poverty
2. Fossil fuels economics
3. Energy price mechanisms
4. Alternative energy sources and clean energy technologies
Part II: Climate Change Policy
5. The science of climate change
6. Climate change impacts
7. Vulnerability and adaptation
8. Mitigation policies
7. The European low-carbon strategy

Bhattacharyya S.C. (2011), Energy Economics: Concepts, Issues, Markets and Governance, UK: Springer-Verlag. Capitoli: 1-7 , 10-11.
Stern Review (2006), The Economics of Climate Change, UK. Capitoli: 1-2-3-4-5-7-10-11

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

1 Introduction
Preliminaries
The MATLAB Desktop
The Command Window
The Command History Window

2 Vectors, Matrices and Arrays
Entering Matrices
Basic Matrix operations

3 Data input/output
Native MatLab data files
Importing from Excel
Reading from text files
Exporting data to EXCEL, STATA and other programs

4 Decision and Loop Structures.
5 Elementary Plots

- MATLAB® / R Reference, by David Hiebeler (June, 2014).

- Econometrics and Economics in Matlab.

- "An Introduction to Matlab for Econometrics", by J. C. Frain, TEP Working Paper No. 0110, February 2010

Economic theoretical foundations of cultural economics.
Consumers preferences and utility typical of cultural economics: rational addiction and learning by consumption
Cultural capital and cultural sustainability: definition and analysis
Externalities and public goods
Social Welfare in cultural economics
The model of Baumol/Bowen: cost disease
Imperfect competition and price discrimination in cultural goods and services
The role of intellectual property rights for the arts
Specific analyses of museums, cultural heritage
Auction for art goods.

David Throsby. Cultural Economics. Cambridge University Press, 2000.

Summary of real functions of a real variable. Main properties and definitions, elementary functions, derivatives and derivation rules. Second order derivatives, chain rule, monotonicity and first derivative, second order derivative and convexity NSC for the existence of local maxima and minima. Global max and min. Weierstrass theorem.
Topology and metrics of the n-dimensional real space. Sequences. Open sets. Closed sets. Compact sets.
Functions of several variables. Definition and examples. Level curves. Linear functions and quadratic forms. Continuous functions and Weierstrass theorem.
Differential calculation for several variables functions. Partial derivatives. Differential and tangent plane. Gradient and Jacobian matrix. Approximations by differentials. Darivative along a curve. Directional derivative. Chain rule. Second order derivatives and Hessian matrix.
Implicit function theorem: Case of a function in two variables. Geometric interpretation. Case of a function in several variables. Linear case: m equations, n+m variables. General case of systems of m equations and n+m variables. Inverse function theorem.
Static optimization. Free optimization. NC for the existence of local maxima and minima. Stationary points. Definite and semidefinite quadratic forms. Criterion for 2 or 3 variables. Second order SC for the existence of local free maxima and minima. Constrained optimization. Equality constraints. NC for the existence of local maxima and minima. Inequality constraints: NC for the existence of local maxima and minima. Kuhn-Tucker conditions for non-negative variables. Interpretation of the Lagrange multiplier.
Homogeneous functions. Geometric definition and properties. Euler theorem. Homothetical functions
Concave and convex functions. Definitions and geometrical properties. Properties and characterization. Concavity and sign of the Hessian matrix. Quasiconcave and quasiconvex functions. Cobb-Douglas functions. Pseudoconcave functions Free and constrained optimization in hypothesis of quasiconvexity and quasiconcavity.
Dynamical models: Malthus model in discrete and continuous time. Dynamical models in continuous and discrete time. Definition of differential equation and difference equations. Existence and uniqueness of solutions for first order difference equations.
Calculus of variations. Definition of a problem of calculation of variations. Euler equation in integral form (w.p.). Euler-Lagrange equation. Transversality conditions. Sufficient conditions in hypothesis of concavity or convexity.
Optimal control theory: Optimal control problem (in discrete and continuous time). Pontryagin maximum principle. Sufficient conditions in hypothesis of concavity.
Dynamic programming. Finite horizon and discrete time: Bellman’s principle. Dynamic programming principle. Bellman's equation and optimization conditions.
(w.p.)=”with proof”.

Textbooks
• Simon & Blume “Matematica per le scienze economiche” ed Egea.
• Salsa & Squellati “Modelli dinamici e controllo ottimo” ed. Egea: chapter 1 (pp.1-6, 17-26), chapter 3 (pp.69-73, 78-79) , chapter 9 (pp. 211-232), chapter 10 (pp. 245-249, 277-288); chapter 11 (pp. 293-296, 304-310).

Part I: Introduction to data analysis and exploratory tecniques
- Data frames
- Cluster analysis
- Principal component analysis

Part 2: Normal linear regression and its generalizations
- Polynomial regression
- Multiple regression
- Logistic and multinomial regression
- Beta regression
- Poisson and negative binomial regression

Part 3: Panel data analysis
- Balanced and unbalanced panel, micro and macro panel
- Modeling the level of the dependent variable
- Modeling change of the dependent variable
- Fixed effects and random effects models for categorical variables and continuous variables

Chatterjee, S. and Hadi, A.S. (2012), Regression Analysis by Example, 5th Edition, Wiley. Chapters: 1, 2, 3 (excluding 3.9), 4 (excluding 4.3, 4.9.2, 4.9.3, 4.10, 4.12, 4.13, 4.14), 5 (excluding 5.6 and 5.7), 6 (excluding 6.6 and 6.7), 9, 11, 12 (excluding 12.8.3 and 12.8.4), 13 (excluding 13.5, 13.6, 13.7).

Fox,J. and Weisberg, S. (2010), An R companion to applied regression, 2nd Edition, SAGE publications
Inc.

Andreb, H-J, Golsch, K., Schmidt, A.W. (2013), Applied panel data analysis for economic and social
surveys, Springer. Chapters: 1, 2, 3, 4

Relationship between two or more variables: independence, association; concordance.
Linear regression; Multiple regression. Case studies.
Data reduction: composite indicators, principal component analysis
Cluster analysis

Introductory Statistics with R, P. Dalgaard, Springer.

An Introduction to Applied Multivariate Analysis with R, B. Everitt, T. Hothorn, Springer.

THE MULTIPLE LINEAR REGRESSION MODEL. INTERPRETATION AND COMPARISON OF REGRESSION MODELS. HETEROSCHEDASTICITY AND AUTOCORRELATION. ENDOGENITY AND INSTRUMENTAL VARIABLES.

MODELS WITH LIMITED DEPENDENT VARIABLES. BINARY CHOICE MODELS: PROBIT AND LOGIT MODELS. MULTIPLE-CHOICE MODELS: PROBIT AND LOGIT MODELS ORDERED, LOGIT MODEL MULTINOMIAL. MODELS FOR COUNTING DATA. TOBIT MODELS.
Seemingly Unrelated Regression (SUR): ESTIMATION AND TESTING METHODS.
SIMULTANEOUS EQUATIONS Model (SEM).
MODELS FOR PANEL DATA. THE STATIC LINEAR MODEL: FIXED EFFECT MODELS; RANDOM EFFECT MODELS. ESTIMATORS WITHIN AND BETWEEN. HETEROSCHEDASTICITY AND AUTOCORRELATION TESTS. DYNAMIC MODELS FOR PANEL DATA: THE ARELLANO-BOND ESTIMATOR.
MODELS WITH LAGGED VARIABLES: DYNAMIC REGRESSION MODELS, MODELS WITH DISTRIBUTED LAGS (DL, ARDL).

For the course program students can consult the following texts (the first three can be considered alternative among them)
1) Introduzione all'Econometria, J. H. Stock, M. W. Watson, Ed. Pearson
2) Econometrica, J. Johnston, Ed. Franco Angeli
3) Econometria, M. Verbeek, Ed. Zanichelli
4) Lectures on advanced econometrics, L. Pieraccini, Ed. Aracne
5) Introduction to Time Series Analysis and Forecasting, D. C. Montgomery, C. L. Jennings, M. Kulahci, Ed. Wiley

Some of the topics in the course can also be found in
Introductory Econometrics for Finance, C. Brooks, Cambridge University Press

For introductory references of statistical inference and algebra of matrices students can consult:
Fondamenti di Inferenza Statistica, L. Pieraccini, Ed. Giappichelli
Matrix Differential Calculus in Statistics and Econometrics, J. R. Magnus, H. Neudecker, Ed. Wiley Series in Probability and Statistics

For the laboratory course with R, students can consult one of the following texts:
Introductory Statistics with R, P. Dalgaard, Ed. Springer
An Introduction to Applied Multivariate Analysis with R, B. Everitt, T. Hothorn, Ed. Springer

Introduction
- International economics: the distinction between international trade theory and policy and the international monetary economy. Outline of the course.
Recording of economic and financial relations with foreign countries
- National accounting in an open economy
- Balance of payments
Exchange rates and foreign Exchange Markets. A portfolio approach
- Exchange rates and international transactions
- The foreign exchange market
- Demand for foreign currency assets
- Equilibrium in the foreign exchange market
- Interest rates, expectations and equilibrium
Money, interest rates and exchange rates
- Demand for Money
- Money supply and the determination of domestic rates of interest
- exchange rates in the short term
- Money, prices and exchange rate in the "long term".
- Inflation and exchange rate dynamics
- Critical considerations on the interpretation of the terms "short term" and "long term": the theoretical assumptions about the tendency to full employment
Long-term price level and exchange rate
- The law of one price
- Purchasing power parity: presentation and criticism
- A long-run exchange rate model based on PPP
- Empirical evidence on PPP and the law of one price.
- Explaining of the problems related to PPP.
- Beyond PPP: a "general" long-term model for exchange rates
Output and exchange rate in the short-run
- Output market equilibrium in an open economy in the short run (The DD curve)
- Asset Market equilibrium in the short run (the AA curve)
- Short-run equilibrium in open economy: putting DD and AA together
- Temporary changes in monetary and fiscal policies
- Permanent shifts in monetary and fiscal policies
- Macroeconomic policies and the current account
- The J curve and Marshall-Lerner condition
- The liquidity trap in the open economy
Fixed exchange rates and foreign exchange intervention
- Why study fixed exchange rates
- Central Bank intervention and the money supply
- How the central bank fixes the exchange rate
- Balance of payments crises and capital flight
- Managed floating and sterilized intervention
- Reserve currencies in the international monetary system
- The Gold Standard
The International Monetary System: a historical overview
- Macroeconomic policy goals in an open economy
- Classifying monetary systems: the open economy trilemma
- International macroeconomic policy under the Gold Standard, 1870-1914
- The years between the two wars (1918-1939)
- The Bretton Woods system and the International Monetary Fund
- Analyzing economic policy options for reaching internal and external balance
- The problem of the external balance of the United States in the Bretton Woods system
- the mechanism of imported inflation
- The case for floating exchange rates
- Macroeconomic interdependence under floating exchange rate regime
- What has been learned since 1973?
- Are fixed exchange rates even an option for most countries?
Optimal currency areas and European experience
- The evolution of the single European currency
- The euro and the economic policy of the euro zone
- The theory of optimum currency areas
- The future of EMU
- The crises of Balance of payments within the euro area

P. Krugman, M. Obstfeld, M. Melitz, Economia internazionale 2 - Economia monetaria internazionale, Decima Edizione Pearson, 2015 – (capitoli: 1-8 e capitolo 10).

1 Introduction
Preliminaries
The MATLAB Desktop
The Command Window
The Command History Window

2 Vectors, Matrices and Arrays
Entering Matrices
Basic Matrix operations

3 Data input/output
Native MatLab data files
Importing from Excel
Reading from text files
Exporting data to EXCEL, STATA and other programs

4 Decision and Loop Structures.
5 Elementary Plots

- MATLAB® / R Reference, by David Hiebeler (June, 2014).

- Econometrics and Economics in Matlab.

- "An Introduction to Matlab for Econometrics", by J. C. Frain, TEP Working Paper No. 0110, February 2010

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

The Course will touch upon the following topics:
- Key structural features of the International Community within the legal perspective;
- International personality of States and other recipients of international legal norms (e.g. IOs);
- Legal sources: customary law and international general law; treaties and the law of treaties; sources from treaties; relationship between written and oral law; codification of international law; jus cogens;
- The relationship between international law and State law and the reception of international law within the Italian legal system;
- Illegal acts and international responsibility;
- International disputes resolution.
Moreover the following issues will be debated: territorial sovereignty and related limitations; prohibition of the use of force and the maintenance of peace and international security; human rights protection; self-determination of peoples.

The choice of one among the following handbooks is suggested:
8 CFU:
CONFORTI B., DIRITTO INTERNAZIONALE, EDITORIALE SCIENTIFICA, NAPOLI, ULTIMA EDIZIONE
MONACO R., CURTI GIALDINO C., MANUALE DI DIRITTO INTERNAZIONALE PUBBLICO, UTET, MILANO, 2009
TREVES T., DIRITTO INTERNAZIONALE. PROBLEMI FONDAMENTALI, GIUFFRÉ, MILANO, 2005
To be added: CODICE DI DIRITTO INTERNAZIONALE PUBBLICO (A CURA DI E. LUZZATTO E F. POCAR), GIAPPICHELLI, TORINO, ULTIMA EDIZIONE.
6 CFU:
CONFORTI B., DIRITTO INTERNAZIONALE, EDITORIALE SCIENTIFICA, NAPOLI, ULTIMA EDIZIONE
9 CFU:
MONACO R., CURTI GIALDINO C., MANUALE DI DIRITTO INTERNAZIONALE PUBBLICO, UTET, MILANO, 2009
FRATTINI F., SPATAFORA E., L’EUROPA E I DIRITTI DEI BAMBINI, CACUCCI, BARI, 2009
PER GLI STUDENTI ERASMUS: IL PROGRAMMA D'ESAME SARÀ CONCORDATO DAL DOCENTE IN BASE AI CFU RICHIESTI.

For students who attend the lectures, also the format compiled during the workshops should be submitted during the oral exam.

The Course will touch upon the following topics:
- Key structural features of the International Community within the legal perspective;
- International personality of States and other recipients of international legal norms (e.g. IOs);
- Legal sources: customary law and international general law; treaties and the law of treaties; sources from treaties; relationship between written and oral law; codification of international law; jus cogens;
- The relationship between international law and State law and the reception of international law within the Italian legal system;
- Illegal acts and international responsibility;
- International disputes resolution.
Moreover the following issues will be debated: territorial sovereignty and related limitations; prohibition of the use of force and the maintenance of peace and international security; human rights protection; self-determination of peoples.

The choice of one among the following handbooks is suggested:
8 CFU:
CONFORTI B., DIRITTO INTERNAZIONALE, EDITORIALE SCIENTIFICA, NAPOLI, ULTIMA EDIZIONE
MONACO R., CURTI GIALDINO C., MANUALE DI DIRITTO INTERNAZIONALE PUBBLICO, UTET, MILANO, 2009
TREVES T., DIRITTO INTERNAZIONALE. PROBLEMI FONDAMENTALI, GIUFFRÉ, MILANO, 2005
To be added: CODICE DI DIRITTO INTERNAZIONALE PUBBLICO (A CURA DI E. LUZZATTO E F. POCAR), GIAPPICHELLI, TORINO, ULTIMA EDIZIONE.
6 CFU:
CONFORTI B., DIRITTO INTERNAZIONALE, EDITORIALE SCIENTIFICA, NAPOLI, ULTIMA EDIZIONE
9 CFU:
MONACO R., CURTI GIALDINO C., MANUALE DI DIRITTO INTERNAZIONALE PUBBLICO, UTET, MILANO, 2009
FRATTINI F., SPATAFORA E., L’EUROPA E I DIRITTI DEI BAMBINI, CACUCCI, BARI, 2009
PER GLI STUDENTI ERASMUS: IL PROGRAMMA D'ESAME SARÀ CONCORDATO DAL DOCENTE IN BASE AI CFU RICHIESTI.

For students who attend the lectures, also the format compiled during the workshops should be submitted during the oral exam.

Section 1: the Economics of Innovation
- Introduction to the Economics of Innovation
- Innovation and Performance: Growth, Employment, Productivity, Export, Environment
- The theoretical foundations of Science, Innovation and Technology Policies
- The role of Intellectual Property Rights
- Subsidies and tax credit for R&D
- Public policies for eco-innovation
Section 2: The Italian case
- The characteristics of the Italian production system
- The role of public enterprises in the industrial development of Italy
- The Italian National Innovation System
- Industrial Policies in Italy
Section 3: European Regional Policies to promote business investment in innovation activities
- Structural Funds for Cohesion Policies
- The objectives of the 2014-2020 programming period
- he effects of cohesion policies on firms’ performances

- Franco Malerba, Economia dell’Innovazione, Carocci editore, Capitoli:1,5,13,14,16,17,18.
- Luciano Gallino, 2003, La scomparsa dell’Italia industriale, Einaudi.
- Mariana Mazzucato, Lo Stato Innovatore, Laterza 2014.

- Recalls of basic statistics and statistical inference
- Hypothesis test on a parameter (mean, proportion, variance)
- Hypothesis test for the difference between means and proportions in the case of independent and paired samples
- independence tests
- Variance Analysis (ANOVA)
- Non-parametric tests (Wilcoxon, Mann-Whitney, Kuskal-Wallis, Spearman sign tests)
- Simple and multiple linear model
- Factorial analysis
- Cluster analysis
- Logistics regression
- Elements of sampling techniques and websurvey

Agresti A., Finlay B.(2015) Metodi statistici di base e avanzati, Pearson Editore
Zani S., Cerioli A. (2007) Analisi dei dati e data mining per le decisioni aziendali, Giuffrè Editore.
Notes and handout (in Italian) are available at the web page of the course.

1. Introduction to Environmental Economics
1.1 Introduction and general information about the course (programme in detail, final exam, textbooks, other material, dropbox folder)
1.2 Definition of externality
1.3 Public goods
1.4 Property rights (public, private, collective) and the Coase theorem
1.5 Pollution (local, national, transboundary, global)
1.6 Natural resources (renewable, exhaustible)

2. Monetary value of externalities
2.1 Contingent valuation method: Willingness to Pay versus Willingness to Accept
2.2 Hedonic price and transport cost methods
2.3 Cost-benefit analysis
2.4 Discounting

3. Monetary value of resource exploitation
3.1 Hotelling rule
3.2 Net Present Value method

4. Environmental Accounts
4.1 Input Output approaches and databases (NAMEA, WIOD, EXIOMOD)
4.2 Satellite Accounts (EPEA), alternative measures of GDP (Genuine saving, Green GNP)

5 Sustainable Development
5.1 Definition and measure
5.2 Recent debate: from the Fitoussi Commission to the SDGs agenda
5.3 Alternative measures of well-being including environment

6 Specific topics
6.1 Payment for environmental services
6.2 Renewable resources (forestry, fishery, water)
6.3 Waste management
6.4 Energy
6.5 Climate change

7 Environmental policies
7.1 Geographical scales for policies (local, national, global)
7.2 Environmental policies (demand-pull vs. supply-push, price-based vs. quantity-based, tax, permits, standards)
7.3 International environmental policies (SDGs, Roadmap2050, 450PPM, low-carbon strategy)

8 Environmental innovation
8.1 Eco-innovation: complexity, dynamics, evolution and trajectories
8.2 Eco-innovation policies
8.3 Case study 1: biofuels
8.4 Case study 2: energy efficiency

9 Multi-dimensional issues
9.1 Environment and food security
9.2 Environment and trade
9.3 Environment and innovation: green growth and win-win strategies
9.4 Environmental Kuznets Curve
9.5 Resource Curse Hypothesis

Tietenberg T., Lewis L. (2012), Environmental & Natural Resource Economics, 9th Edition, US: Pearson Education.

Part I: Energy Economics
1. World Energy Outlook
2. Energy security and energy poverty
2. Fossil fuels economics
3. Energy price mechanisms
4. Alternative energy sources and clean energy technologies
Part II: Climate Change Policy
5. The science of climate change
6. Climate change impacts
7. Vulnerability and adaptation
8. Mitigation policies
7. The European low-carbon strategy

Bhattacharyya S.C. (2011), Energy Economics: Concepts, Issues, Markets and Governance, UK: Springer-Verlag. Capitoli: 1-7 , 10-11.
Stern Review (2006), The Economics of Climate Change, UK. Capitoli: 1-2-3-4-5-7-10-11

1 Introduction
Preliminaries
The MATLAB Desktop
The Command Window
The Command History Window

2 Vectors, Matrices and Arrays
Entering Matrices
Basic Matrix operations

3 Data input/output
Native MatLab data files
Importing from Excel
Reading from text files
Exporting data to EXCEL, STATA and other programs

4 Decision and Loop Structures.
5 Elementary Plots

- MATLAB® / R Reference, by David Hiebeler (June, 2014).

- Econometrics and Economics in Matlab.

- "An Introduction to Matlab for Econometrics", by J. C. Frain, TEP Working Paper No. 0110, February 2010

- Civil liability rules and corporate civil liability
- Subjective responsibility, strict liability and assurance
- Common law e civil law
- Law and economics
- Corporate criminal responsibility and organizational models ex d. lgs. n. 231/2001
- Ue regulation about safety products and liability for defective products
- Case studies

AA.VV., Manuale di diritto dei consumi, a cura di L. Rossi Carleo, Giappichelli, Torino, 2015, with exclusive reference to the following parts: Parte I (pp. 3-32); Parte III, Capitolo Secondo: La sicurezza dei prodotti: profili evolutivi e aspetti sostanziali (pp. 203-218); Parte IV, Capitolo Secondo, Sezione Quarta: La sicurezza dei prodotti: profili applicativi (pp. 247-252); Parte IV, Capitolo Terzo, Sezione Terza: La responsabilità per danno da prodotti difettosi (pp. 283-306). Supplementary and up-to-date information and materials will be available to students on the website of the course.

Economic theoretical foundations of cultural economics.
Consumers preferences and utility typical of cultural economics: rational addiction and learning by consumption
Cultural capital and cultural sustainability: definition and analysis
Externalities and public goods
Social Welfare in cultural economics
The model of Baumol/Bowen: cost disease
Imperfect competition and price discrimination in cultural goods and services
The role of intellectual property rights for the arts
Specific analyses of museums, cultural heritage
Auction for art goods.

David Throsby. Economia della Cultura. Cambridge University Press, 2000