Games II

2007-07-05 § 1 Comment

Last time, I explained how the category of finite simple games is equivalent to the initial lift-product category. Now I want to show how this fact can be used to find nice ways of representing strategies.

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Games I

2007-07-03 § 1 Comment

When I started doing research, I mostly worked on categories of games. I even went so far as to write a first-year report that suggested — even confidently claimed — that I would write a thesis on the subject. Well, I’m writing that thesis now, and games appear only in passing in a single paragraph. But recently, one or two people have expressed some interest in some of the ideas in that first-year report, so I’d like to flesh out one of idea that is only sketched very vaguely in what I wrote.

The starting point is the idea that a simple category of games is (equivalent to) the initial model of a certain simple theory. « Read the rest of this entry »

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