# Commutative Algebra and Game Theory

Is there any relationship between commutative algebra and game theory? For example, have any tools in commutative algebra been applied to game theory?

A text or reference would be ideal, but I'd be grateful for any insightful comments.

• I think there is a relation between everything. Oct 16 '14 at 11:58
• Okay, all the rules say we should close this question. It's vague, brief, and hilariously formatted. But I really want to know the answer, so maybe it's possible to coax this into something deeper. Oct 16 '14 at 12:04
• I took the liberty of making it way, way more polite. I don't know if the question is specifically asking for applications of commutative algebra to game theory, game-theoretic interpretations of theorems in commutative algebra, or something else. e-r, if you could elaborate a bit, that would be great. Oct 16 '14 at 12:08
• I've added an example in response to the "too broad" vote to close. I apologize if my interpretation of the question deviates from its intention, but I'm determined to keep this alive long enough to get a decent answer. Oct 16 '14 at 12:49

And looking at the suggested links, I learned that you can even make a game over a commutative algebra: The Ring Game on $$K[x,y,z]$$