Criteria for strict monotonicity of the mixed volume of convex polytopes

Frédéric Bihan, Ivan Soprunov

Let $P_1,\dots ,P_n$ and $Q_1,\dots ,Q_n$ be convex polytopes in ${\mathbb{R}}^n$ such that $P_i\subset Q_i$. It is well-known that the mixed volume has the monotonicity property: $V…