The Maximum Theorem

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The Maximum Theorem is a fundamental tool in economics and game theory, describing how behavior responds to changes in circumstances. This video presents the Maximum Theorem and shows how it's used in demand theory.

Excellent references are Chapter 12 of K. Border's "Fixed Point Theorems with Applications to Economics and Game Theory" and Chapter 9 of R. Sundaram's "A First Course in Optimization Theory." See also my lecture notes at
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Hi! I’ve just finished the 105 videos playlist and I’d like to sincerely thank you for putting those online. You’re helping thousands of Econ students worldwide (and attracting a lot of attention to the University of Arizona) — greetings from Brazil.

augustoalves
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Great explanation, so calm and clear. Thanks for sharing!

liacouve
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Hope that you have been well! All the best!

ameliali
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Great lecture! I have one question: regarding the continuity of Phi, do we just assume that this is the case?

gintokisakata
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here we have it! The new cover is cool

ameliali