Economic and Game Theory
|"Inside every small problem is a large problem struggling to get out."|
Thread and Full Text View
Thanks for the reference. This paper you suggest uses indeed category theory in a much more sophisticated way than I do. Therefore I am grateful of becoming aware of it. However, the question ask and answered by Vassilakis is I think quite a bit different.
As far as I diguested Vassilakis (1992), he looks at much bigger questions such as whether games and solution concepts can be obtained as limit of their subobjects, or whether we can resolve infinite regress problems. I just look at a small question of constructing a simple function that is maximized in Nash equilibrium in strategic games. Indeed I do not see yet a direct connection to my note except for the basic tools I use. However, this can be also due to my ignorance since I do not understand his paper yet.
By the way, there is another paper on game theory using category theory by Laptisky or similar in International Game Theory Review. However, I couldn't get hold of it till now.
Yet, there is another paper by Keiding on category theory applied to Social Choice in one of the first issues of Mathematical Social Science.
On top of it, some researchers on categorical logic (I think Andrea Schalk or similar) used games and categories of games. That's all I know about category theory and game theory. [Manage messages]