Training and Research

PhD Programme Courses/classes

This page shows the PhD course's training activities for the academic year 2024/2025. Further activities will be added during the year. Please check regularly for updates!

Instructions for teachers: lesson management

Introduction to Economics

Credits: 5

Language: English

Teacher:  Roberto Ricciuti

Mathematics

Credits: 3.8

Language: English

Teacher:  Andrea Mazzon

Probability

Credits: 7.5

Language: English

Teacher:  Marco Minozzo

Mathematical Statistics

Credits: 5

Language: English

Teacher:  Lorenzo Frattarolo, Claudia Di Caterina

Continuous Time Econometrics

Credits: 5

Language: English

Teacher:  Chiara Amorino, Amorino Chiara, Cecilia Mancini

Macroeconomics I

Credits: 7.5

Language: English

Teacher:  Khalid W A Shomali, Alessia Campolmi

Microeconomics 1

Credits: 7.5

Language: English

Teacher:  Claudio Zoli, Martina Menon, Maurizio Malpede

Field Experiments

Credits: 1

Language: Italian

Teacher:  Pol Campos

Game Theory

Credits: 5

Language: English

Teacher:  Francesco De Sinopoli

Elements of Financial Risk Management

Credits: 2.5

Language: English

Teacher:  Prof. Kim Christensen

Stochastic Optimization and Control

Credits: 5

Language: English

Teacher:  Athena Picarelli

Financial Time Series

Credits: 5

Language: English

Teacher:  Giuseppe Buccheri

Job Market Orientation

Credits: 1

Language: English

Teacher:  Simone Quercia

Advice to Young Researchers

Credits: 4

Language: English

Teacher:  Marco Piovesan

Finanza Matematica

Credits: 5

Language: English

Teacher:  Guido Gazzani, Alessandro Gnoatto

Behavioral and Experimental Economics

Credits: 4

Language: English

Teacher:  Simone Quercia, Maria Vittoria Levati, Marco Piovesan

Stochastic Processes in Finance

Credits: 5

Language: English

Teacher:  Sara Svaluto Ferro

Inequality

Credits: 4

Language: English

Teacher:  Francesco Andreoli, Claudio Zoli

Development economics

Credits: 4

Language: English

Teacher:  Federico Perali

Health Economics

Credits: 4

Language: English

Teacher:  Paolo Pertile

Political Economy

Credits: 4

Language: English

Teacher:  Emanuele Bracco, Roberto Ricciuti

Quantitative research methods

Credits: 6.8

Language: English

Teacher:  Luca Grassetti, Francesca Visintin, Laura Pagani

Credits

7.5

Language

English

Class attendance

Free Choice

Location

VERONA

Learning objectives

The aim of the course is to provide students with the main analytical tools to develop microeconomic analysis.
At the end of the course students should be able to apply the relevant mathematical technique for the analysis of consumption, production and choices under risk and develop a critical assessment of theoretical research on these subject.

Prerequisites and basic notions

Preliminary knowledge of basic microeconomics and elements of mathematical methods for economis.

Program

The course provides students with the main notions of microeconomic theory characterizing the first part of an advanced course on the subject. In particular, it is organized in three main parts:
1) Theory of consumer’s behaviour and welfare,
2) Theory of production,
3) Choices under uncertainty.
The approach is formal and mathematical, and is aimed not only at delivering the main elements of microeconomic theory but also at providing students with the necessary tools to address theoretical problems grounded in choice theory. Basic mathematical concepts and familiarity with logical and abstract reasoning are therefore a prerequisite of this course. Lectures will be supplemented by exercise classes to further develop the technical skills required.
Attention will also be played to place in context the analysis with possible applications of the concepts discussed for theoretical research or for policy analysis. Detailed references will be provided during the lectures.

Bibliography

Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.

Didactic methods

The course activities involve 30 hours of lessons and 12 hours of exercise classes.

Learning assessment procedures

Written exams with separate questions on the three parts covered on the course

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Assessment

The written exam will evaluate the logical, expository and analytical skills relating to the topics covered in the course.

Criteria for the composition of the final grade

The final mark will be an average of the evaluation of each of the different parts of the course

Scheduled Lessons

When Classroom Teacher topics
Friday 08 November 2024
11:00 - 13:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 1 Zoli: Introduction to preferences and choice Binary relations. Strict and weak preferences. Axioms and representations of preferences.
Monday 11 November 2024
11:00 - 13:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 2 Zoli: Representation of preferences Relations between preferences, set of alternatives and choices. Properties of utility functions.
Monday 11 November 2024
14:00 - 16:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 3 Zoli: Properties of utility functions Introduction to choices under risk Lotteries and preferences Theorems of representation.
Tuesday 12 November 2024
14:00 - 17:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 4 Zoli: Introduction to choices under risk VNM expected utility. Allais paradox and violation of independence. Risk aversion, definition and implications. Risk premium.
Friday 15 November 2024
11:00 - 13:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 5 Zoli Expected utility (continued) Risk aversion. Degrees of risk aversion. Arrow-Pratt index of local risk aversion. Constant-increasing-decreasing risk aversion.
Monday 18 November 2024
10:00 - 13:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 6 Zoli: Firms and production. Transformation frontier, transformation function and marginal rate of transformation. Properties of production set. Inputs outputs and netputs. Returns to scale. Profit maximization: many inputs and outputs. Supply function. Profit maximization: unconditional factor demands and supply function.
Monday 18 November 2024
14:00 - 16:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 7 Zoli Profit maximization (continues): unconditional factor demands and supply function. Production. Cost minimization: conditional factor demands and cost function Properties of supply function, profit function, factor demands and cost function.
Friday 22 November 2024
11:00 - 13:00
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 8 Zoli Production. Duality in production and analogies with duality in consumption. Hotelling’s Lemma, Shephard’s Lemma. The role of the Envelope theorem in Economics. Applications to duality.
Monday 25 November 2024
10:00 - 13:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Martina Menon Consumption theory: consumption set, budget constraint, income and price changes and changes of the budget line, non-linear budget line
Monday 25 November 2024
14:00 - 17:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Martina Menon Consumption theory: interpretation of preferences axioms, graphical representation of preferences (indifference curves), properties of the indifference curves, example of indifference curves (perfect substitutes, perfect complements, well-behaved preferences, quasi linear preferences), the utility maximization problem, Marshallian demand equations
Thursday 28 November 2024
14:00 - 17:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Martina Menon Consumption theory: properties of Marshalian demand function, comparative statics (income effect (normal and inferior goods) price effects (ordinary and Giffen goods)), indirect utility function and its properties, example of UMP with well-behaved preferences.
Wednesday 04 December 2024
14:00 - 17:00
Duration: 3:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Martina Menon Consumption theory: expenditure minimization problem, properties of Hicksian demand functions, properties of the expenditure function, relationship between primal and dual programs, Slutsky equation, Integrability, Welfare analysis