The paper classifies exactly when the Spohn curve of a 2x2 game is reducible, proves real points are dense on it in those cases under genericity assumptions, and proposes a j-invariant based equivalence notion for games.
Cohen: Number theory: Volume I: Tools and Diophantine Equations, Graduate Texts in Mathematics, vol
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Elliptic curves in game theory
The paper classifies exactly when the Spohn curve of a 2x2 game is reducible, proves real points are dense on it in those cases under genericity assumptions, and proposes a j-invariant based equivalence notion for games.