# Advanced Microeconomics I

Lecture notes will be updated constantly. For typos and mistakes, please email me.

**Part I: ****Math ****Review**

**Lecture 1: ****Sets, Relations and Orders**** **

**Lecture 2: ****Linear Algebra**

Write-ups: 1/26

Additional Readings: [SB] Chapter 6,8,10,11; [O] Chapter F

**Lecture 3: ****Convexity**

Write-ups: 2/2

Additional Readings: [O] A.4, G, [K] Appendix 3, [SB] 21, [JR] A1.4

**Lecture 4: ****Real Analysis**

Write-ups: 2/2

Additional Readings: [O] A.3-A.4, C.1, C.3, D, [K] Appendix 2, [D] 1.6-1.8

**Lecture 5: ****Differentiation**

**Lecture 6: ****Smooth Optimizations**

Additional Readings: [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5

**Part II: Consumer Theory **

** ****Lecture 7: ****Utility Maximization**

Write-ups: 2/16

Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.3, 1.5 [K] Ch 3 [OR] 5.1-5.3

** ****Lecture 8: ****Expenditure Minimization**

Write-ups: 2/23

Additional Readings: [B] Ch 6 [JR] 1.4 [K] Ch 10

** ****Lecture 9: ****Comparative Statics**

Write-ups: 2/23

Additional Readings: [JR] 1.5, 2.1 [K] Ch 10, 11, [OR] 5.6

** ****Lecture 10: ****Welfare**

Write-ups: 2/23

Additional Readings: [JR] 4.3, [K] 12.2

** ****Assignment 1 **(Due on 3/9)

**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.*

[B] Truman Bewley,*General Equilibrium Theory, Overlapping Generations Models,**and Optimal**Growth Theor*y (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)