Consider the general constrained maximization problem where X is a lattice, a poset and the feasible set G is independent of The optimal solution correspondence is increasing in (, G) if and only if f is quasi supermodular in X and f satisfies the single crossing condition ...

Let 2 1 and 2 1 Select x 1 1 1 and x 2 2 2 Since 2 1 x 1 x 2 1 Since x 1 is optimal x 1 1 1 x 1 1 x ...

Consider the general constrained maximization problem where X is a lattice, a poset and the feasible

Question:

Consider the general constrained maximization problem where X is a lattice, Θ a poset and the feasible set G is independent of θ. The optimal solution correspondence

is increasing in (θ, G) if and only if
• f is quasi supermodular in X
• and f satisfies the single crossing condition