A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose...

One of the most well-known models of non-expected utility is Gul (1991)'s model of Disappointment Aversion. This model, however, is defined implicitly, as the solution to a functional equation; its explicit utility representation is unknown, which may limit its applicability. We show that an...

Many economics problems are maximization or minimization problems, and can be formalized as problems of solving “linear difference systems” of the form <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$r_i-r_j \geqq c_{ij}$</EquationSource> </InlineEquation> and r <Subscript> k </Subscript>-r <Subscript> l </Subscript> c <Subscript> kl </Subscript>, for r-unknowns, with given c-constants. They typically involve strict as well as weak...</subscript></subscript></subscript></equationsource></inlineequation>