A general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model are a set of propositions, an entailment relation, and a “triangular norm” which establishes a lower bound on the degree to which a...

It is well known that many social decision procedures are manipulable through strategic behaviour. Typically, the decision procedures considered in the literature are social choice correspondences. In this paper we investigate the problem of constructing a social welfare function that is...

Imagine that everyone in a group chooses a real number and then these numbers are combined to produce a group number. Suppose that when everyone moves strictly closer to some individual’s number, the group number either stays where it is or moves closer to this number. We call this the...

In the literature on social choice and fuzzy preferences, a central question is how to represent the transitivity of a fuzzy binary relation. Arguably the most general way of doing this is to assume a form of transitivity called max-star transitivity. The star operator in this formulation is...

We investigate the structure of fuzzy aggregation rules which, for every permissible profile of fuzzy individual preferences, specify a fuzzy social preference. We show that all fuzzy aggregation rules which are strategyproof and satisfy a minimal range condition are dictatorial. In other words,...

The present paper analyses different formulations of individual rights within a traditional social choice-theoretic framework and a game form framework. It proposes a theory of social situations as a basis for some new formulations of individual rights that better incorporates some positive...

The paper presents an axiomatic analysis of opportunity ranking within a logical framework. It establishes that any opportunity or freedom ranking is completely determined by a subjacent logical chain that is interpreted as a freedom standard. However, a preferential interpretation of the chain...

The aim of this paper is to provide a different, somewhat more general, approach to the axiomatic ranking of opportunity sets in term of freedom of choice. The opportunity ransking is defined axiomatically relative to some standard of freedom or theory of freedom. The paper provides a general...

The paper presents an axiomatic analysis of opportunity ranking within a logical framework. It established that any opportunity or freedom ranking is cimpletely determined by a subjacent logical chain that is interpreted as a freedom standard. However, a preferential interpretation of the chain...