"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Mathematical economy
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME277
1
2+1+1
7
compulsory
Matematică Aplicată
Teaching Staff in Charge
Prof. PETRUSEL Adrian Olimpiu, Ph.D., petrusel@math.ubbcluj.ro
Lect. BUICA Adriana, Ph.D., abuica@math.ubbcluj.ro
Aims
To provide basic notions and main tools in the field of mathematical economies: multivalued analysis, maximal elements, eqilibrium points. To apply these tools in the theory of equilibrium of an abstract economy.
Content
1. Description of an economy. Arrow-Debreu model.
2. Multi-valued operators and fixed points for single-valued and multi-valued mappings.
3. KKM theory and variational inequalities. Optimal preferences.
4. Walrasian equilibrium of an economy.
5. Elements of game theory.
References
1) J.W.S.Cassels, Economics for mathematicians, Cambridge Univ.Press, 1989.
2) A.Mas-Colell, An introduction to the differentiable approach in the
theory of economic equilibrium, Univ.of California, Berkley, 1978.
3) M.Geistdoerfer-Florenzano, L'equilibre economique general transitif et
intransitif. Problemes d'existence, CEPREMAP, Paris, 1980.
4) J.P.Aubin, Optima and Eqilibria, Springer, Berlin, 1993.
5) G.X.Z. Yuan, KKM Theory and Applications in Nonlinear Analysis, Marcel
Dekker, New York, 1999.
6. K. Border, Fixed point theorems with applications to economic and game
theory, Cambridge University Press, London, 1985.
7) A. Petrusel, Multifunctii si aplicatii, Presa Univ. Clujeana, Cluj-Napoca, 2001.
Assessment
Exam.