Mr.Surly consumes only two goods and hates them both.His utility function is U(x, y)=2max{x, y}.Mr.Surly has (weakly)convex preferences.

Convex Preferences

A set of consumer preferences that exhibit a specific property where mixtures of goods are preferred over singular extremes, displaying a curve outward towards the origin on a utility graph.

Weakly Convex

Describes a curve or set in geometry and mathematical functions that bulges outward less sharply than a perfectly convex shape, often applied in optimization problems.