PART I: Language and Mathematics Review
Schedule, Part I: Language and Mathematics Review
August 12 Set
Readings: Lecture 1 (Sections 1, 2.2 and 2.3)
Additional Readings: [O] A.1, [D] 1.1, 1.2, [JR] A1.2
August 17 Set and Logic
Readings: Lecture 1 (Sections 2.1), supplemental notes on Logic
Additional Readings: [O] A.1, [D] 1.1, 1.2, [JR] A1.2
August 19 Logic
Readings: supplemental notes on Logic
August 24 Drawing Graphs for Linear Objects
Readings: Supplement on dot product and Linear Programming (Section 1, 2), Lectures 2 (Section 1.1), Lecture 3 (Section 1), Lecture 7 (Section 1)
Additional Readings: [SB] Chapter 6,8,10,11, 21; [O] Chapter F, A.4, G, [K] Ch 3, Appendix 3, [JR] A1.4, [D] Ch 2,4 [B] Ch 6, [JR] 1.1-1.3, 1.5, [OR] 5.1-5.3
Assignment 1 (Due on September 21)
August 26 Drawing Graphs for Nonlinear Objects
Readings: Lectures 2 (Section 2.1), Lecture 3 (Section 2), Lecture 5 (Section 1 -- 2.3), Supplement on dot product and Linear Programming (Section 3)
Additional Readings: [O] A.4, G, [K] Appendix 3, [SB] 21, [JR] A1.4
August 31 Smooth Optimization with No Constraints
Readings: Lecture 2 (Section 1, 2.2), Lecture 5 (Section 2.4), Lecture 6 (Section 1.1,1.2, 2.1)
Additional Readings: [JR] A2.1, [SB] Chapters 2-5, 14, 16, [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5
September 2 Smooth Optimization with Constraints
Readings: Lectures 6 (Section 2.1, 2.2)
Additional Readings: [JR] A2.1, [SB] Chapters 2-5, 14, 16, [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5
Part II: Consumer Theory
September 7 Utility Maximization
Readings: Lecture 6 (Section 2.2, 2.3.2), Supplement on Cobb-Douglas utility function
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.3, 1.5 [K] Ch 3 [OR] 5.1-5.3
September 9 Utility Maximization and Cost Minimization
Readings: Lecture 6 (Section 2.3.2), Lecture 7, Lecture 8 (Section 1, 2), Lecture 9 (Section 1)
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.5 [K] Ch 3, 10 [OR] 5.1-5.3
September 14-18 No class (Fall Break)
Additional Reference:
For consumer and producer theory:
[K] David M. Kreps, Microeconomic Foundations I: Choice and Competitive Markets (Princeton University Press, 2013)
[OB] Osobrne, M. and Rubinstein, A., Models in Microeconomic Theory (Open Book Publishers, 2020)
[JR] Geoffrey A. Jehle and Philip J. Reny, Advanced Microeconomic Theory (3rd edition, Prentice Hall, 2011)
For general equilibrium theory:
[D] Gerard Debreu, Theory of value: An axiomatic analysis of economic equilibrium. (Yale University Press, 1959)
[B] Truman Bewley, General Equilibrium Theory, Overlapping Generations Models, and Optimal Growth Theory (Harvard University Press, 2010)
For mathematics:
[O] Efe OK, Real Analysis with Economic Applications (Princeton University Press, 2007)
[SB] Carl Simon and Lawrence Blume, Mathematics for Economists (Norton, 1994)
Approved Papers Choice for Oral Exam:
Kreps, David M. "A representation theorem for" preference for flexibility"." Econometrica: Journal of the Econometric Society (1979): 565-577.