Thanks! Now that you mention it, the Perron–Frobenius theorem is another result about linear algebra that’s sometimes proved with the help of the Brouwer fixed point theorem!

]]>• Hukukane Nikaido, *Introduction to Sets and Mappings in Modern Economics*, North Holland, 1960.

Cheers, James

]]>I’m glad you liked the class!

If you want to read my thoughts on evolutionary game theory, start with these posts in my Information Geometry series:

• Part 8 – information geometry and evolution: how natural selection resembles Bayesian inference, and how it’s related to relative entropy. (website version)

• Part 9 – information geometry and evolution: the replicator equation and the decline of entropy as a successful species takes over. (website version)

• Part 10 – information geometry and evolution: how entropy changes under the replicator equation. (website version)

• Part 11 – information geometry and evolution: the decline of relative information. (website version)

• Part 12 – information geometry and evolution: an introduction to evolutionary game theory. (website version)

• Part 13 – information geometry and evolution: the decline of relative information as a population approaches an evolutionarily stable state. (website version)

I have a lot more I’d like to say about this, and a lot more I want to figure out, but this should keep you busy for a little while! Feel free to post comments and questions.

]]>Any chance you might continue this series casually every now and then, touching on more advanced and interesting topics like evolutionary and Bayesian game theory? I’d certainly read it, and I think many of your Google+ followers would enjoy it too!

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