January 15 Set and Logic
Readings: Supplement on Logic, Lecture 1 (Sections 1-2)
Additional Readings: [O] A.1, [D] 1.1, 1.2, [JR] A1.1-1.2
January 22 Logic (continued), Linear Structure: Vector Space, and Convexity
Readings: Supplement on Logic, Lectures 2.1 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 February 5)
January 29 No Meeting
February 5 Linear Independence, Matrix Operations, and Linear Programming
Readings: Supplement on dot product and Linear Programming, Lectures 2
Additional Readings: [SB] Chapter 6,8,10,11, 21; [O] Chapter F, A.4, G, [K] Appendix 3, [JR] A1.4
Assignment 2 (Due on February 19)
February 12 Differentiation and Optimization (Part I)
Readings: Lecture 2.2, Lectures 5, Lecture 6 (before 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
February 19 Optimization (KKT)
Readings: Lecture 6 (Section 2.2)
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
February 26 Parameterized Optimization: Envelope Theorem and Maximum Theorem
Readings: Supplement on Berge, Lecture 6 (Section 2.3.1, 2.3.2)
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.3, 1.5 [K] Ch 3 [OR] 5.1-5.3
March 5 Utility Maximization
Readings: Lecture 7. Lecture 8
Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.4 [K] Ch 3, [OR] 5.1-5.3
Reference: Why wages don't fall during a recession?
Assignment 4 (Due on March 19)
March 12 Cost Minimization, Comparative Statics and Welfare
Readings: Lecture 8, 9, 10
Additional Readings: [JR] 1.5, 2.1, 4.3 [K] Ch 10, 11, 12.2 [OR] 5.6
March 19 Welfare and Equilibrium Stability
Readings: Lecture 10, 16, 17 (Section 1)
Additional Readings: [JR] 4.3, [K] 12.2, Debreu (1974), Scarf (1960), Arrow-Hurwicz (1962), Bewley (1977), Dierkier (1972)
March 26 TBD
April 9 TBD
April 16 TBD
April 23 TBD
April 30 Topics
Sovereign Default: The decision to repudiate debt (Juan Francisco Avila Davila)
May ? 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)