92370 - LABORATORY OF MATHEMATICAL ECONOMICS

Anno Accademico 2021/2022

  • Docente: Iliyan Georgiev
  • Crediti formativi: 3
  • SSD: SECS-S/06
  • Lingua di insegnamento: Inglese
  • Moduli: Iliyan Georgiev (Modulo 1) Iliyan Georgiev (Modulo 2)
  • Modalità didattica: Convenzionale - Lezioni in presenza (Modulo 1) Convenzionale - Lezioni in presenza (Modulo 2)
  • Campus: Bologna
  • Corso: Laurea Magistrale in Economics (cod. 8408)

Conoscenze e abilità da conseguire

At the end of the course the student has reinforced the mathematical reasoning and acquired the necessary skills and ability to work on the mathematical structures of a wide range of economic models. In particular, he/she is able to experience the deep knowledge of a mathematical problem and to comprehend the rigorous logic on which it is based. Furthermore, he/she is able to: - determine and discuss the nature of stationary points of several variables functions, recurrence relations and differential equations, thereby deducing properties of models' steady states; - identify and interpret different kinds of economic dynamics and investigate the related models; - work with Linear Algebra basic tools to construct and solve problems involving eigenvalues and eigenvectors; - formulate Definitions of necessary tools such as equilibrium concepts to be applied in many economic frameworks such as Industrial Organization, Contract Theory, Voting Systems, Game Theory, Macroeconomic Theory; - write correct proofs of Propositions and Theorems.

Contenuti

Linear spaces. Matrices, operations, rank and determinant. Inverse of a nonsingular square matrix. Linear systems, kernel of a matrix, linear maps, eigenvalues, eigenvectors, diagonalization theory. Scalar product, norm, orthogonal subspaces.

Functions of one and several real variables: continuity, convexity, quasi-convexity, (partial) derivatives, differentiability, tangent line/hyperplane, stationary points, Hessian matrix. Constrained and unconstrained optimization. Methods of Lagrange's multipliers and Kuhn-Tucker Theory.

Indefinite and Riemann integrals in one variable. First order ordinary differential equations (separation of variables, linear equations). Some notions of difference equations and dynamical systems.

Testi/Bibliografia

Mathematics for Economists, Carl P. Simon, Lawrence Blume, Norton & Company, New York, London, 1994.

Essential Mathematics for Economic Analysis, Peter Hammond, Knut Sydsaeter, Prentice-Hall, Harlow, 2008.

Further Mathematics for Economic Analysis, Knut Sydsaeter, Peter Hammond, Atle Seierstad, Arne Strom, Prentice-Hall, Harlow, 2008.

Metodi didattici

Traditional lectures

Modalità di verifica e valutazione dell'apprendimento

A pass/fail final test

Strumenti a supporto della didattica

A dedicated page on Virtuale

https://virtuale.unibo.it/course/view.php?id=31810

Link ad altre eventuali informazioni

https://virtuale.unibo.it/course/view.php?id=31810

Orario di ricevimento

Consulta il sito web di Iliyan Georgiev

SDGs

Istruzione di qualità

L'insegnamento contribuisce al perseguimento degli Obiettivi di Sviluppo Sostenibile dell'Agenda 2030 dell'ONU.