Duality Given the technology, we can obtain the cost function, are the cost function contains the same information of the technology (production function)? If the answer is \yes\, then the cost minimization behavior will indicate the technology of the firm
Summary textbook: Varian, Hal R., 1992, Microeconomics Analysis, 3rd ed. Mas-Colell, A., M. Whinston, and J. Green, 1995, Microeconomics Theory. assignments: twice a week; Team work; Deliver on the class
Content Public goods Subscription -Efficient provision of public goods Public choice · Externality -What' s externality? - How to solute it? -What' s the efficient condition with externality
Content Pure exchange system The existence of Walrasian equilibrium The first theorem of welfare economics The second theorem of welfare economics Exchange with production
Optimization See Sydsaeter(2005, Chapters 2, 3)and Chiang(1984, Chapters 9, 11, 12 and 21) Positive definite matrix Definite matrices are directly related to optimization. A symmetric matrix A is positive semi- definite(A≥0) if rAr≥0,Vx; positive definite(A>0)