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We deal with Monge-Amp\`ere type equations modeled upon general anisotropicnorms $H$ in $\mathbb R^n$. An overdetermined problem for convex solutions tothese equations is analyzed. The relevant solutions are subject to both ahomogeneous Dirichlet condition and a second boundary condition, designed on$H$, on the gradient image of the domain. The Wulff shape symmetry associatedwith $H$ of the solutions is established.

Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Amp\`ere equations