We study uncertainty averse preferences, that is, complete and transitive preferences that are convex and monotone. We establish a representation result, which is at the same time general and rich in structure. Many objective functions commonly used in applications are special cases of this...

Motivated by dynamic asset pricing, we extend the dual pairs?theory of Dieudonné(1942) and Mackey (1945) to pairs of modules over a Dedekind complete f-algebra with multiplicative unit. The main tools are: a Hahn-Banach Theorem for modules of this kind; a topology on the f-algebra that has the...

Maccheroni, Marinacci, and Rustichini [17], in an Anscombe-Aumann framework, axiomatically characterize preferences that are represented by the variational utility functional V (f) = min p2 Z u (f) dp + c (p) 8f 2 F; where u is a utility function on outcomes and c is an index of uncertainty...

We extend the Fundamental Theorem of Finance and the Pricing Rule Representation Theorem to the case in which market frictions are taken into account but the Put–Call Parity is still assumed to hold. In turn, we obtain a representation of the pricing rule as a discounted expectation with...

Maccheroni, Marinacci, and Rustichini (2006), in an Anscombe–Aumann framework, axiomatically characterize preferences that are represented by the variational utility functional V(f)=minp∈Δ{∫u(f)dp+c(p)}∀f∈F, where u is a utility function on outcomes and c  is an index of...