​"If I wanted you to understand it, I would have explained it better" --- the inimitable Johan Cruyff (1947--2016) 


Survey lecture on Afriat's Theorem and some extensions
​Slides

A short video explaining Afriat's Theorem (15 minutes) 

Survey lectures on monotone comparative statics
Part I (basic concepts: single crossing difference, interval dominance order; supermodular games; multi-dimensional comparative statics)    
Part II (optimization under risk/uncertainty; aggregation of the single crossing property; comparing information structures with the Lehmann order)

Survey lectures on monotone comparative statics and related topics
Part I:      Comparative statics and supermodular games
Part II:     Comparative Statics for decisions under uncertainty and Comparative Information
See also seminar slides on the interval dominance order

​Lectures on general equilibrium theory (at first year graduate level)
​The existence of equilibrium  
​The welfare theorems
​Demand aggregation and the structure of equilibrium
​Uniqueness and stability of equilibrium
​Revealed preference tests of utility maximization and general equilibrium
Equilibrium in financial economies

Lectures on general equilibrium theory (at advanced undergraduate level)
Part I:      The existence of equilibrium
Part II:     The structure of equilibrium
Part III:    Equilibrium in a financial economy   


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