This course will introduce you to Game Theory provide you with tools to formally analyze both static and dynamic strategic interaction among economic agents with numerous applications to practical economic problems. Our focus will be on games of complete information — i.e., environments where all relevant elements of the interaction are known to all players involved. First, you will learn how to formally represent simultaneous moves games in strategic form and how to analyze them using the notions of dominant, dominated and mixed strategies, as well as the celebrated concept of Nash equilibrium.
You will learn how to formally represent dynamic games in extensive form and how to analyze them through backward induction and using the notion of subgame perfection. Finally, you will learn how to analyze both finitely and infinitely repeated games and how to use them to investigate collusion. By the end of the course, you will be able to construct and analyze rigorous models that describe situations of conflict and cooperation among rational decision makers.
There is also an intermediate follow-up course to this one, for people already familiar with game theory: Game Theory II.
This course is part of the Program “Market Analysis”, designed in collaboration with the Department of Economics and Statistics of the University of Naples Federico II.- Docente: Marco Pagnozzi
The objective of the course is to equip the students with the analytical tools to understand Microeconomics: the study of economic activity including individuals and firms from the point of view of individual decision-making units. The course is foundational for a broad range of other subjects in Economics and as such highly abstract and fairly demanding from a mathematical point of view.
This course will begin with the analysis of individual preferences, and then proceed to models of consumer behavior, including labor supply decisions. Multiple individual consumers will then be considered to form a “pure exchange economy.” The existence of equilibrium in these economies will then be discussed, together with their welfare and distributional properties.
This is the first of a sequence of two courses in Microeconomics. They are designed as an integrated sequence. You can find the follow-up course as "Microeconomics II".
This course is part of the Program “Market Analysis”, designed in collaboration with the Department of Economics and Statistics of the University of Naples Federico II.- Docente: Luca Anderlini
This program offers a solid understanding of the theoretical foundations for studying the decisions of economic agents in different market structures and the determination of prices and equilibrium allocations.
All courses are accessible in asynchronous mode through academic and interactive video lectures, in-depth readings, quizzes and learning activities. At the end of each course or program it will be possible to gain a certificate.
What you will learn
- The theoretical foundations to study economic agents’ decisions in different market structures
- The tools of game theory to the analysis of markets and strategic decisions
- How to design and bid in an auction
- Mathematical tools to understand the foundations and techniques of modern economic analysis
Courses
Microeconomics I
Explore the analytical tools of microeconomics: From the analysis of individual preferences to consumer behavior models.
Microeconomics II
Explore the analytical tools of microeconomics: from the analysis of decisions by firms to multi-product firms and tech production sets.
Game Theory I
Learn how to represent games: master both static and dynamic strategic interaction among rational decision makers and how to apply it to practical economic problems.
Game Theory II
Learn how to represent games: master both static and dynamic strategic interaction among rational decision makers and how to apply it to practical economic problems.
Mathematical methods for Economics
Coming soon
From the algebra to the concept of fixed point, to the calculus of probability and optimization: acquire the tools for understand the modern economies
Instructors
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Luca Anderlini Professor of Economy, Georgetown University and Università di Napoli Federico II |
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Marco Pagnozzi Professor of Economics, University of Naples Federico II |
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Matteo Bizzarri Research Fellow of Economics, University of Naples Federico II |
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The Department of Economics and Statistics (DISES) at the University of Naples Federico II has a long tradition in training students interested in pursuing a career in academics, policy institutions and the financial industry. The Department currently offers a BA and a MA in Economics, a BA and MA in Finance, a MSc in Economics and Finance (MEF) and a PhD in Economics. Both the MEF and the PhD programs are entirely English-taught. Faculty members work on all major areas of microeconomics, macroeconomics, finance, statistics and mathematical economics. The Department also hosts the Center for Studies in Economics and Finance (CSEF), with which it is fully integrated in research and graduate teaching. |
The objective of this course is to provide students with the analytical tools to understand Microeconomics: the study of economic activity including individuals and firms from the point of view of individual decision-making units. The course will begin with the basics of the analysis of production decisions by firms. We start with the standard cost functions and the we will move on to multi-product firms and technological production sets. The properties of profit functions will be analyzed. The model of production will then be integrated with the exchange models of the first course in the sequence. The existence of equilibrium in economies with production will then be discussed, together with their welfare and distributional properties. We will then conclude with the discussion of models of decision-making under uncertainty.
This is the second of a sequence of two courses in Microeconomics. They are designed as an integrated sequence. This second course builds on the first adding production to the framework. Throughout it, the basic paradigm will be that of competitive environments modeled assuming price-taking behavior.This course is part of the Program “Market Analysis”, designed in collaboration with the Department of Economics and Statistics of the University of Naples Federico II.
- Docente: Luca Anderlini
The course of Mathematical Methods for Engineering is intended to provide specific mathematical tools as residues theory, integral calculation and distributions, that will be used in functional transformations, as Fourier, Zeta and Laplace transforms, spread in many Engineering applications.
- Docente: Lina Mallozzi
The course on Stochastic Processes is mainly focused on an introductory part finalized to recover essentials of measure theory dedicated to the probability measure, and on a wide study of the Brownian motion due its key role in theory of stochastic processes. Indeed, many details will be provided about martingale and Markov properties of such a process and of processes obtained by transformations from it. Stopping times, filtrations, conditional expectations are a consistent part of the course. The course also includes the construction of the stochastic integral respect to the Brownian motion and essential hints on stochastic differential equations. Many examples and exercises are also given to clarify the mathematical aspects and potential applications of such contents in the modeling context. The whole theoretical apparatus follows the classical Kolmogorov setting. An illuminating and referring guide for the contents of such a course is the book of Paolo Baldi, “Stochastic Calculus, An Introduction Through Theory and Exercises”, Springer, 2017, that can also be considered for further insights.
- Docente: Enrica Pirozzi
In the first part of the course we will introduce metric, normed and Banach spaces. In particular we will define Hilbert Spaces and we will describe its main properties. In particular we will see that in the Hilbert Spaces we can extend the concept of orthogonality and the Pitagora's theorem well known in the Euclidean plane. In the second part we will introduce a new type of integration in R^n based on the so-called Lebesgue measure. Thanks to this new concept we can introduce new functional spaces, that are the so-called Lebesgue's spaces and Sobolev spaces. Finally we will study linear, bounded and compact operators and we focus our attentions on their spectral properties.
- Docente: Nunzia Gavitone
- Docente: Anna Mercaldo