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

Mathematical economy
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME013
8
2+2+0
8
optional
Matematica Economica
ME013
8
2+2+0
8
optional
Matematici Aplicate
Teaching Staff in Charge
Prof. PRECUP Radu, Ph.D., r.precup@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. Arrow-Debreu model of an economy. Description.
2. Fixed point theory and multivalued analysis for economics.
3. Maximal elements, fixed points and equilibrium points.
4. Consumer's problem. Equilibrium prices in an abstract economy.
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.
Assessment
Exam.