# Advanced Microeconomics I

**Primary Reference****: **** **** **

[D] Gerard Debreu,

*Theory of value: An axiomatic analysis of economic equilibrium.*

**Additional Reference:**

For consumer and producer theory:

[K] David M. Kreps,*Microeconomic Foundations I: Choice and Competitive Markets*(Princeton University Press, 2013)

[OB] Osborne, 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:

[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)

**February 1st: **Logic, Sets, and Linear Subspace

Readings: Logic (Section 1.1-1.7, 1.9, 1.12), Lecture 1 (Section 1, 2.1, 2.2), Lecture 2 (Section 1.1)

**February ****8th****: **Linear Algebra

Readings: Lecture 2

**February ****15****th: **Convexity and Differentiability

Readings: Lecture 3 (before Section 2.1), Lecture 4 (Section 1, 3), Lecture 5

**February ****22nd****: **Convex Optimization

Readings: Lecture 6 (Section 1.1, 1.2, 2.1,2.2)

**March 1st****: **Consumer's problem and Cost Minimization Problem

Readings: Lecture 6 (Section 2.3.2), Lecture 7, Lecture 8 (Section 1,2,3)

**March ****8th****: **Comparative Statics and Consumer's Welfare

Readings: Lecture 8 (Section 4,5), Lecture 9, Lecture 10

**March 15th**: Binary Relation and Preference

Readings: Lecture 1 (Section 3.1-3.5), Lecture 12 (Section 1-3)

**March ****22nd**: Continuous Preference and Revealed Preference

Readings: Lecture 12 (Section 3-4), Lecture 13

**April 19th**: Uncertainty and expected utility

Readings: Lecture 14 (Section 1-3)

**April ****26****th**: Axiomatization of expected utility and Attitudes toward risk

Readings: Lecture 14 (Section 4,7), Lecture 15

**May 3rd**: Exchange Economy

Readings: Lecture 16

Solution