I show that in a multidimensional spatial model, if an agent is risk neutral on each side of the policy space away from his/her ideal point, then his/her utility function is linearly decreasing not in the Euclidean, but rather in the city block distance to the ideal policy of the agent.

Given a set of alternatives with multiple attributes, I characterize the set of preference profiles that are representable by weighted versions of a class of utility functions indexed by a parameter δ  0, where δ ≥ 1 corresponds to the set of Minkowski’s (<CitationRef CitationID="CR34">1886</CitationRef>) metric functions. In...</citationref>

Second-order elections theory explains cyclical losses by national government parties in elections to the European Parliament (EP) through strategic protest voting owing to performance deficits in policy-making. This paper confronts the conventional bottom-up view with a top-down approach to...

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>

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...

We develop the ordinal theory of (semi)continuous multi-utility representation for incomplete preference relations. We investigate the cases in which the representing sets of utility functions are either arbitrary or finite, and those cases in which the maps contained in these sets are required...

Primarily following Bridges-Mehta (1995) and Herden-Pallack (2002), this paper is a discussion of the equivalent re-formalizations of the utility representation problem. Our contribution to this widely discussed theory of economic literature is that we consider the representation theorem as a...

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...

Since the work of Downs (1957), spatial models of elections have been a mainstay of research in political science and public choice. Despite the plethora of theoretical and empirical research involving spatial models, researchers have not considered in great detail the complexity of the decision...