Lecture Notes 1 Microeconomic hypothesis Guoqiang TIAN Department of economic scholarship Texas A&M University College Station, Texas 77843 (gtian@tamu.edu) August, 2002/Revised: December 2011 1 This masticate notes are only for the end of my t severallying and convenience of my students in class, but not for any different purpose. It is greatly admit that some materials are drawn from the references in the end of each charter. Contents 1 Preliminaries on Modern economic science and Mathematics 1.1 Nature of Modern economics . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 1.1.2 1.1.3 1.1.4 1.1.5 1.1.6 1.1.7 1.1.8 Modern economic science and Economic speculation . . . . . . . . . . . . . . Key Assumptions and Desired Properties Commonly prosecute economics The Basic Analytical Framework of Modern Economics . . . . . . . Methodologies for Studying Modern Economics . . . . . . . . . . . Roles, Generality, and Limitation of Economic Theory . . . . . . . 1 1 1 3 4 6 8 Roles of Mathematics in Modern Economics . . . . . . . . . . . . . 10 diversity amid Economic and Mathematical run-ins . . . . 11 Distinguish amidst Necessary and Su?cient Conditions as well Normative and Positive Statements . . . . . . . . . . . . . . . . . . 11 1.2 Language and Methods of Mathematics . . . . . . . . . . . . .
. . . . . . . 12 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.2.6 1.2.7 1.2.8 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Separating Hyperplane Theorem . . . . . . . . . . . . . . . . . . . . 14 dish-shaped and bulbous Functions . . . . . . . . . . . . . . . . . . . . 14 Optimization . . . . . . . . . . . ! . . . . . . . . . . . . . . . . . . . 16 The Envelope Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 19 manoeuvre-to-Set Mappings . . . . . . . . . . . . . . . . . . . . . . . . . 21 Continuity of a Maximum . . . . . . . . . . . . . . . . . . . . . . . 25 restore Point Theorems . . . . . . . . . . . . . . . . . . . . . . . . . 26 I Individual Decision...If you want to perplex a full essay, differentiate it on our website: BestEssayCheap.com
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