Unit GAME THEORY
- Course
- Mathematics
- Study-unit Code
- A005440
- Curriculum
- Matematica per analisi di sistemi complessi e dati
- Teacher
- Irene Benedetti
- Teachers
-
- Irene Benedetti
- Hours
- 42 ore - Irene Benedetti
- CFU
- 6
- Course Regulation
- Coorte 2026
- Offered
- 2026/27
- Learning activities
- Caratterizzante
- Area
- Formazione matematica teorica avanzata
- Sector
- MATH-03/A
- Type of study-unit
- Opzionale (Optional)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- ENGLISH
- Contents
- The course aims to introduce students to the theoretical foundations of Game Theory, with particular attention to strategic interactions among agents. The objective is to provide students with analytical tools useful for explaining, predicting, and guiding rational behavior in various economic and social contexts.
- Reference texts
- Anna R. Karlin and Yuval Peres (2016). Game Theory Alive, American Mathematical Society.
- Educational objectives
- The aim of the course is to provide students with the basic tools of the theory of interacting rational decision-makers to analyze and solve simple problems, both theoretical and applied, in the field of economics using techniques from game theory.
- Prerequisites
- Linear algebra. Basic knowledge of the analysis of functions of one variable and two variables.
- Teaching methods
- The course consists in 42 hours of lessons. The timetable is available at
http://www.dmi.unipg.it/MatematicaOrarioLezioni
Student office:
see the web page:
http://www.unipg.it/pagina-personale?n=irene.benedetti - Other information
- other informations may be found on the web site: www.unistudium.unipg.it
- Learning verification modality
- The exam consists of an oral test, involving a discussion lasting between 30 and 60 minutes, aimed at assessing the student’s level of knowledge and understanding of the theoretical and methodological contents outlined in the syllabus. In particular, the student must demonstrate that they have acquired the concepts and proof techniques related to the theoretical material presented during the lectures, and that they are able to apply these results to economic models, or more generally to classical game theory models, also by solving simple exercises.
The oral exam will also allow for the evaluation of the student’s communication skills, including proper use of language and the ability to independently organize and present theoretical topics.
The exam schedule is available at the following address:
http://www.dmi.unipg.it/MatematicaCalendarioEsami
If a student intends to take the exam in advance of the year in which it is scheduled in their study plan, they are advised to attend the course lectures and to take the exam at the first available session after the lectures have concluded, in accordance with the semester in which the course is offered.
For information on support services for students with disabilities and/or specific learning disorders (SLD), please visit:
http://www.unipg.it/disabilita-e-dsa - Extended program
- The course aims to provide the mathematical tools necessary to understand some fundamental elements of game theory:
• Matching Theory
• Dichotomous games and trichotomy
• Nash equilibrium
• Extensive-form games
• Zero-sum games
• Potential games
• Price of anarchy and price of stability
• Cooperative games - Obiettivi Agenda 2030 per lo sviluppo sostenibile
- Quality Education