2 problems

Let $v:2^{\mathcal G}\to\mathbb R$ be a valuation. An endowment operation with respect to $T\subseteq\mathcal G$ produces the valuation $v'(X)=v(X\cup T)-v(T)$, and a Rado minor va…

A valuation $v:2^{\mathcal G}\to\mathbb R_+$ assigns a value to each bundle of items, and a gross substitutes valuation is a valuation in the gross substitutes class. A Rado valuat…