Honors project idea for linear algebra

manpreet Best Answer 2 years ago

At my institution there is an Honors program which encourages (or requires) students to petition classes for Honors. Basically, what this amounts to is the student has to write a 10 page (not set in stone, this is just ballpark) paper on some topic loosely associated to the course. I'm teaching linear algebra this semester and I have an Honors student making a request to do such a project. Now, my default response is to ask them to do some project on tensors and multilinear algebra as I know a little about all that. However, this student also has interest in Game Theory and was interested in a project about Markov chains etc. The problem for me, I don't have a good sense of what would make a nice project in the direction of Game Theory. So finally, the question:

Question: what would a good book, pdf, video series etc. be to provide a framework for an expository piece on Game Theory, or related topics, for someone who is currently learning linear algebra ?

I'm interested in book suggestions, but, also templates for study if you have some passion for this topic. At this point, the student has already studied Gaussian elimination, matrix algebra and after next week, linear transformations from ℝ