In spatial environments we consider social welfare functions satisfying Arrow's requirements, i.e. weak Pareto and independence of irrelevant alternatives. Individual preferences measure distances between alternatives according to the lp-norm (for a fixed 1=p=[infinity]). When the policy space...

In this paper, we prove a fuzzy version of Arrow's Theorem that contains the crisp version. We show that under our definitions, Arrow's Theorem remains intact even if levels of intensities of the players and levels of membership in the set of alternatives are considered.

We present a model in which capital assets can only be owned by members of a small politically-connected elite ("the oligarchs"), each member of which faces a given risk of being expropriated, and we investigate the implications of such an imperfection of property rights for the transition to a...