We develop the complete Riemannian geometry of Victoria—Nash asymmetric equilibrium manifolds (VNAE) for $n$-player games. The metric (g_{ij} = iota_i iota_j delta_{ij} + varepsilon H_{ij}(V,iota)) yields explicit Levi-Civita connection (Gamma^k_{ij}), Riemann tensor (R^i_{,jkl}) with fourth-order $V$-derivative cancellation, Ricci tensor (R_{ij} approx kappabigl(iota_{i,j} iota_i - kappa partial_i^2 iota_ibigr) delta_{ij}), and scalar curvature (K_s approx sum_{i<j} iota_i iota_j det H_{ij}^s + O(varepsilon^2)). Positive/negative/zero signatures classify stability geometrically. The Lyapunov—Morse functional (mathcal{L}) satisfies (frac{d^2}{dt^2}mathcal{L}big|_{mathrm{VNAE}} approx -2 operatorname{Ric}(dot{s}^perp,dot{s}^perp)) along gradient flows, establishing Ricci curvature as the normal contraction rate. Classical Nash, von Neumann’s minimax theorem, and Lyapunov stability emerge as degenerate flat limits as (varepsilonto0).