2. Professors
  3. BIMONTE Giovanna
  4. Teaching

TEORIA DEI GIOCHI

Giovanna BIMONTE TEORIA DEI GIOCHI

8860300024
DIPARTIMENTO DI MATEMATICA
Corso di Dottorato (D.M.226/2021)
MATHEMATICS
2022/2023

YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2022
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
210LESSONS
GIOVANNA BIMONTE T Curriculum
Objectives
THE COURSE AIMS TO PROVIDE A BASIC UNDERSTANDING OF GAME THEORETICAL REASONING, MODELS, AND APPLICATIONS.
Prerequisites
STUDENTS ARE EXPECTED TO BE FAMILIAR WITH THE STANDARD NOTIONS OF CALCULUS AND PROBABILITY.
Contents
INTRODUCTION TO DECISION THEORY; ORDINAL UTILITY.
STRATEGIC GAMES: INTRODUCTION; NASH EQUILIBRIUM; MIXED STRATEGIES IN FINITE GAMES. REFINEMENT OF NASH EQUILIBRIUM IN FINITE GAMES. A BASIC MODEL OF KNOWLEDGE; CORRELATED EQUILIBRIUM. FIXED POINT THEOREM: SKETCH OF PROOF.
EXTENSIVE GAMES: INTRODUCTION; MIXED STRATEGIES VS. BEHAVIOR STRATEGIES. SUBGAME PERFECT EQUILIBRIUM.
GAMES WITH INCOMPLETE INFORMATION: INTRODUCTION AND MODELING. BAYESIAN GAMES AND BAYESIAN NASH EQUILIBRIUM;
SOME APPLICATIONS.

EXPERIMENTAL IN THE CLASSROOM.
Teaching Methods
LECTURES AND APPLICATIONS; WEEKLY ASSIGNMENTS; CLASS READINGS AND DISCUSSION; CLASS EXPERIMENTS.
Verification of learning
UPON COMPLETION OF THE COURSE, THE STUDENT SHOULD BE ABLE TO:
DEFINE ALTERNATIVE NOTIONS OF EQUILIBRIA; DERIVE GAME EQUILIBRIA AND SELECT THEM; APPLY THE ACQUIRED NOTIONS TO DIFFERENT PROBLEMS.

THE EXAM CONSISTS OF THE EXPOSITION OF SELECTED WORK BY THE STUDENTS AND ITS IMPLEMENTATION IN A PROJECT WORK APPLIED TO RESEARCH TOPICS.
Texts
GONZÁLEZ-DIAZ, J., GARCIA-JURADO, I., & FIESTRAS-JANEIRO, M. G. (2010). AN INTRODUCTORY COURSE ON MATHEMATICAL GAME THEORY. GRADUATE STUDIES IN MATHEMATICS, 115.

PATRONE, F. (2006). DECISORI (RAZIONALI) INTERAGENTI. UNA INTRODUZIONE ALLA TEORIA DEI GIOCHI. EDIZIONI PLUS.

AUMANN, ROBERT J. "EXTEND ACCESS TO THE ANNALS OF STATISTICS." THE ANNALS OF STATISTICS 4.6 (1976): 1236-1239.

HARSANYI, J. C. (1967). BY “BAYESIAN" PLAYERS, I-III. MANAGEMENT SCIENCE, 14(3).
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