Mathematical economics 
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Teaching Staff in Charge 

Aims 
To provide basic notions and main tools in the field of mathematical economics: multivalued analysis, maximal elements, eqilibrium points. To use these tools in the theory of equilibrium of an abstract economy.

Content 
1. Description of an economy. ArrowDebreu model.
2. The analysis of multivalued operators. 3. Fixed point, sstrict fixed point and coincidence point theorems for singlevalued and multivalued 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.MASCOLELL, An introduction to the differentiable approach in the theory of economic equilibrium, Univ.of California, Berkley, 1978. 3) A. PETRUSEL, Multivalued analysis and mathematical economics, House of the Book of Science, ClujNapoca, 2004. 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, ClujNapoca, 2001. 
Assessment 
Seminar activities (written test and a writing report) 40%,
Final written test (at the end of the semester) 60%. 