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

Fixed point theory with applications to ecomomics
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME023
7
2+1+0
5
optional
Matematica Economica
ME023
7
2+1+0
5
optional
Matematici Aplicate
Teaching Staff in Charge
Prof. RUS Ioan, Ph.D., iarus@math.ubbcluj.ro
Aims
-to present the main techniques and tools from nonlinear analysis,that have important economical significances.
Content
1. Mathematical models of economies.
2. Brouwer's fixed point theorem.
3. Kakutani fixed point theorem.
4. Maximization of binary relations.
5. Variational inequalities, price equilibrium and complementarity.
6. Equilibrium of excess demand correspondences.
7. Nash equilibrium and abstract economies.
8. Cooperative equilibrium.
References
1. K.C.Border, Fixed point theorems with applications to economics and game
theory, Cambridge Univ.Press, 1985.
2. I.A.Rus, Principii si aplicatii ale teoriei punctului fix, Editura Dacia,
Cluj-Napoca, 1979.
3. J.W.S.Cassels, Economics for mathematicians, Cambridge Univ.Press, 1989.
4. J.P.Aubin, Optima and Equilibra, Springer, Berlin, 1994.
5. D. R. Smart, Fixed point theorems, Cambridge, 1974.
6. J. Dugundiji, A. Granas, Fixed point theory, PWN, 1982.
7. R.P. Agarwal, M. Meehan and D. O'Regan, Fixed point theory and applications, Cambridge Univ. Press, 2001.
8. W.A. Kirk and B. Sims (eds.), Handbook of metric fixed point theory, Kluwer Acad. Publ., 2001.
Assessment
Exam.