Unit MATHEMATICAL METHODS FOR ECONOMICS
- Course
- Mathematics
- Study-unit Code
- 55A00079
- Curriculum
- Matematica per l'economia e la finanza
- Teacher
- Irene Benedetti
- Teachers
-
- Irene Benedetti
- Hours
- 42 ore - Irene Benedetti
- CFU
- 6
- Course Regulation
- Coorte 2024
- Offered
- 2025/26
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- MAT/05
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- The course aims to introduce students to the theoretical foundations of Game Theory, with particular focus on strategic interactions between agents. Both the extensive and strategic forms of games will be analyzed, covering cooperative and non-cooperative theory, as well as models of matching and bargaining. The objective is to provide students with analytical tools to explain, predict, and guide rational behavior in various economic and social contexts.
- Reference texts
- Michael Maschler, Eilon Solan, and Shmuel Zamir, Game Theory, Cambridge University Press (2013).
- 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—within the field of economics, using techniques from game theory. By the end of the course, students will be able to analyze simple interactive decision-making problems, with particular focus on economic issues. Students will have acquired specific tools of strategic analysis to understand economic phenomena. They will be encouraged to solve both standard and non-standard exercises and problems, thereby developing critical thinking skills in the analysis of economic issues. This will have a significant positive impact on their ability to analyze more complex situations.
- Prerequisites
- Linear algebra. Basic knowledge of single-variable and two-variable function analysis. Elementary knowledge of probability theory.
- Teaching methods
- Lectures
- Other information
- other informations may be found on the web site: www.unistudium.unipg.it
- Learning verification modality
- The evaluation includes an oral exam aimed to ascertain the knowledge level and the understanding capability acquired by the student on theoretical and methodological contents as indicated on the program. The oral exam will also test the student presentation skills and her/his autonomy in the organization and exposure of the theoretical topics. For info on support services for students with Specific Learning Disorders and/or Disabilities please refer to the web page: http://www.unipg.it/disabilita-e-dsa
- Extended program
- 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. Bargaining theory.