Teaching - F21

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

Lecture 3: Convexity

Assignment 1 (Due: 4 pm on August 30th)

Solution

Lecture 4: Real Analysis

Lecture 5: Differentiation

Lecture 6: Smooth Optimizations

Assignment 2 (Due: 4 pm on September 13th)

Solution

Part II: Choice and Uncertainty

Lecture 7: Preference and Utility Presentation

  • Additional Readings: [D] 4.4-4.7, [JR] 1.2, [K] Ch 1 - 2, [OR] Ch 1,4

Lecture 8: Choices and Revealed Preference

Lecture 9: Uncertainty and Expected Utility

Lecture 10: Attitude Towards Risks

  • Write-ups:

  • Additional Readings: [JR] 2.4, [OR] 3.5

Assignment 3 (Due: 11:59 pm on October 8th)

Part III: General Equilibrium Theory

Lecture 11: Utility Maximization

  • Write-ups:

  • 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 12: Walrasian Economy

  • Write-ups:

  • Additional Readings: [D] Ch 2,5, [B] Ch 2, 4.1-4.6

Lecture 13: Existence of Walrasian Equilibria

  • Write-ups:

  • Additional Readings: [D] Ch 5, [B] Ch 4.7-4.9

Lecture 14: Efficiency of Walrasian Equilibria

  • Write-ups:

  • Additional Readings: [D] Ch 6, [B] Ch 3, 5

Lecture 15: Core

Part IV: 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 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)