August 25 Announcement: Starting August 27, we will meet in RH 211.
August 20 Set and Logic
Readings: Supplement on Logic, Lecture 1 (Section 1-2)
Additional Readings: [O] A.1, [D] 1.1, 1.2, [JR] A1.1-1.2
August 27 Linear Structure: Vector Space, Linear Independence, Matrix Operations, and Convexity
Readings: Lectures 2 and 3
Additional Readings: [SB] Chapter 6,8,10,11, 21; [O] Chapter F, A.4, G, [K] Appendix 3, [JR] A1.4
Assignment 1 (Due on September 10), Solution
September 3 Smooth Optimization (Part I)
Readings: Lectures 5 (before 2.2.1), Lecture (Section 2.1- 2.2), Supplement on Dot Product and Linear Programming
Additional Readings: [JR] A2.1, [SB] Chapters 2-5, 14, 16, [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5
September 10 Optimization (KKT)
Readings: Lecture 5 (after 2.2.1), Lecture 6 (Section 2.3)
Additional Readings: [JR] A2.2-A2.4, 1.1-1.3, 1.5, [SB] Chapters 17-19, [K] Ch 3, Appendix 5, [D] Ch 2,4 [B] Ch 6 [OR] 5.1-5.3
Assignment 2 (Due on September 24), Solution
September 17 Parametrized Optimization Problems
Readings: Lecture 4, Lecture 6 (Slater's condition in 2.2, 2.3.1), Supplement on Berge
September 24 Maximum Theorem and Utility Maximization
Readings: Lecture 6 (Section 2.3.2), 7
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.3, 1.5 [K] Ch 3 [OR] 5.1-5.3
Reference: Why wages don't fall during a recession?
Assignment 3 (Due on October 8), Solution
October 1 Utility Maximization and Cost Minimization
Readings: Lecture 7 (Section 2.3 and 3). Lecture 8
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.4 [K] Ch 3, [OR] 5.1-5.3
October 8 Comparative Statics and Welfare
Readings: Lecture 9, 10
Additional Readings: [JR] 1.5, 2.1, 4.3 [K] Ch 10, 11, 12.2 [OR] 5.6
Assignment 4 (Due on October 22), Solution
October 15 Preference and Utility Presentation
Readings: Lecture 1, 12
Additional Readings: [JR] Ch 3, [K] Ch 9, [OR] Ch 6
October 22 Choice, Revealed Preference and Modeling Uncertainty
Readings: Lecture 13, 14
Additional Readings: [D] 4.4-4.7, [JR] 1.2, 2.4, [K] Ch 1 - 2, 5, [OR] Ch 1, 3.1-3.4, 4, [O] H.1
Assignment 5 (Due on November 5), Solution
October 29 Expected Utility and Attitude towards Risk
Readings: Lecture 14, 15
Additional Readings: [K] Ch 5, [JR] 2.4, [OR] 3.1-3.5, [O] H.1
November 5 Production Theory
Readings: Lecture 11
Additional Readings: [JR] Ch 3, [K] Ch 9, [OR] Ch 6
Assignment 6 (Due on November 19), Solution
November 12 Topics
November 19 Topics
Assignment 7 (Due on December 3), Solution
November 26 Topics
December 3 Topics
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 mathematics (and beyond):
[O] Efe OK, Real Analysis with Economic Applications (Princeton University Press, 2007)
[SB] Carl Simon and Lawrence Blume, Mathematics for Economists (Norton, 1994)
[D] Gerard Debreu, Theory of value: An axiomatic analysis of economic equilibrium. (Yale University Press, 1959)