We consider the Monge-Kantorovich transport problem in an abstract measure theoretic setting. Our main result states that duality holds if c: X × Y → [0, ∞) is an arbitrary Borel measurable cost ...

The paper is concerned with developing a production theory for the case when some inputs have nonlinear prices because the price depends on endogenous quality. This involves extending the notion of a ...

Confused about cost functions in neural networks? In this video, we break down what cost functions are, why they matter, and which types are best for different applications—from classification to ...