Conjugate duality relationships are pervasive in matching and implementation problems and provide much of the structure essential for characterizing stable matches and implementable allocations in models with quasilinear (or transferable) utility. In the absence of quasilinearity, a more...

We study the canonical adverse selection contracting model using new techniques from generalised convex analysis. The fundamental duality in convex analysis between internal and external convexity extends from the classical affine case with linear valuations to the quasilinear case if and only...