Mathematical economy |
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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.
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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. |