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

Health Economics

Credits: 4

Language: English

Teacher:  Paolo Pertile

Development economics

Credits: 4

Language: English

Teacher:  Federico Perali

Political Economy

Credits: 4

Language: English

Teacher:  Emanuele Bracco, Roberto Ricciuti

Inequality

Credits: 4

Language: English

Teacher:  Francesco Andreoli, Claudio Zoli

Quantitative research methods

Credits: 6.8

Language: English

Teacher:  Luca Grassetti, Francesca Visintin, Laura Pagani

Credits

4

Language

English

Class attendance

Free Choice

Location

VERONA

Learning objectives

This 16 hours PhD module combines theoretical and empirical approaches to outline economic and statistics arguments for the analysis of economic inequality.
The objective of the module is to address two key questions, raised by two of the main contributors to modern inequality analysis, that systematically emerge in public economics and in the policy literature: the first question, addressed by Amartya Sen, is “Inequality of what?”; the second question, that stems from the lifelong research of Tony Atkinson, is “What can be done?”
The first part of the module focuses on the first question. We will define and document evidence about different notions of inequality that are intertwined with micro- and macroeconomic analysis: inequality of income, inequality across the life-cycle, inequality across and within groups (such as cohorts, generations, regions, families, genders, skills, human capital). The module will then survey and organize result son the normative underpinnings of measurement and analysis of inequality and related concepts, such as poverty, and social welfare. Empirical issues arising when implementing these models (data and inference) will be also discussed. The presentation will emphasize differences between unidimensional (such as in income or in health) and multidimensional inequality (based on the joint distribution of income and health, or inequality of income along the life course) and will investigate related phenomena, such as (ethnic and income) polarization, segregation, mobility, equality of opportunity.
The second part of the module will move from the analysis of distributions to that of redistribution of income or of endowments. The theory of (optimal) redistribution will be reviewed, drawing distinctions between implementation and expected effects on inequality of taxation and of targeted and universal (in kind and in cash) transfers. The module will focus on ex-post evaluation of the distributional impact of policies. We will review the identification of causal treatment effects along the whole distribution of an outcome, as well discuss implementation using distribution regression methods. Selected applications of these methods to the evaluation of the effects of early intervention (i.e. education and human capital reforms, the so-called “pre-distribution”) on inequality will be presented.

Prerequisites and basic notions

Econometrics, microeconomics

Program

Lecturers: Francesco Andreoli (10hours), Claudio Zoli (6hours)
Topics:
FA: Inequality of what? This lecture introduces evidence about inequalities related to income (cardinal variable), education (discrete variable) and skills (ordinal variable) across individuals and families, along the lifecycle, and across groups defined by the cohort, the region of residence, the family background, gender. It also surveys main data sources and empirical strategies adopted in analyzing inequalities.

CZ: Foundations of inequality measurement. The lecture will illustrate the basic principle behind the measurement of inequality and some of the more common criteria adopted in this framework, such as risk, social welfare, Lorenz curves, stochastic dominance.

CZ: From unidimensional to multidimensional inequality. Will be highlighted the main challenges related to the extension of the framework of analysis to multidimensional distribution. This is the case for instance when considering distributions of bundles of different goods or, as is the case for the Human Development Index, when combining evaluations based on the distribution of income, health and education across the population.

FA: Inequality and related concepts: This lecture deepens the analysis of alternative concepts of inequality, such as inequality of opportunity and will present presenting data sources and empirical results produced in the recent years, including a discussion about the relation between inequality, mobility and equality of opportunity (represented by the so-called Great Gatsby curve). The lecture will also analyze the relation between the distribution of income across individuals and in space (segregation).

FA: Causal analysis of intervention: from average to distributional impacts of intervention. This lecture will discuss the fundamental problem of causal identification and will outline the most interesting theoretical effects for policy evaluation (ATE, CATE, ATT, LATE, ITT and QTE). Identification results for these effects will be presented, with a specific focus on implementation using distributional regression methods (DiD, CiC, RIF, RIF-DiD, Quantile Regression). Reweighing methods for counterfactual analysis will be introduced.

Selected teaching material and references will be distributed during the lecures.
Students can have a broad overview of frontier research in inequality at the following links:
- http://dse.univr.it/it/index.php/past-events-mainmenu-43 (Lecture material from the Winter School on Inequality and Social Welfare Theory organized by the DSE)
- https://opportunityinsights.org/ (Harvard-based lab on spatial inequality in US)
- https://wid.world/ (PSE-based database about trends in income inequality)
- https://inequality.stanford.edu/ (Stanford-based inequality lab)

Didactic methods

Frontal teaching.

Learning assessment procedures

Students presentation based on selected readings agreed upon with the teachers.

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

Assessment

Quality of the presentation; critical reading and discussion of the paper presented; adoption of appropriate terminology and tools.

Criteria for the composition of the final grade

Scele A+ to F.

Scheduled Lessons

When Classroom Teacher topics
Monday 12 May 2025
09:30 - 13:00
Duration: 3:30 AM
Polo Santa Marta - SMT.04 [SMT.4 - terra] Francesco Andreoli Introducing inequality analysis. Definitions of income inequality. Methods, Measurement issues, examples.
Monday 12 May 2025
15:30 - 17:30
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Inequality Lecture 1 Zoli PhD Foundations of inequality measurement Part 1. The lecture illustrates the basic principle behind the measurement of inequality and some of the more common criteria adopted in this framework. Foscu is given to the differente definitions of inequality and basic principles behind the measurement of inequality.
Monday 19 May 2025
09:30 - 13:00
Duration: 3:30 AM
Polo Santa Marta - SMT.04 [SMT.4 - terra] Francesco Andreoli Inequality in income-age trajectories. The relevance of mobility for assessing income inequality. Welfare evaluations.
Monday 19 May 2025
15:30 - 17:30
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Inequality Lecture 2 Zoli PhD Foundations of inequality measurement Part 2. The lecture discusses the most common criteria adopted in the unidimensional setting for welfare and inequality measurement in relation with the literature on the measurement of risk. Discussion of Lorenz curves and stochastic dominance/generalized Lorenz dominance.
Friday 23 May 2025
11:45 - 13:15
Duration: 1:30 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Francesco Andreoli Equality of opportunity, theory and evidence. Predistribution policies. Role of neighbrohood and spatial inequalities, based on evidence from US.
Friday 23 May 2025
14:00 - 15:30
Duration: 1:30 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Francesco Andreoli Policy evaluation and distributional treatment effects. Theory and applications.
Saturday 24 May 2025
09:30 - 11:30
Duration: 2:00 AM
Polo Santa Marta - Sala Andrea Vaona (DSE) [1.59 - 1] Claudio Zoli Lecture 3 Zoli Inequality PhD. From unidimensional to multidimensional inequality The lecture highlights the main challenges related to the extension of the framework of analysis to multidimensional distribution. This is the case for instance when considering distributions of bundles of different goods or, as is the case for the Human Development Index, when combining evaluations based on the distribution of income, health and education across the population. Comments and open questions.

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