Arrow's Impossibility Theorem is commonly understood to invoke a dictatorship that is somehow lurking within our voting arrangements. A well-recognized statement of the theorem is that "any constitution that respects transitivity, independence of irrelevant alternatives and unanimity is a...

The death of welfare economics has been declared several times. One of the reasons cited for these plural obituaries is that Kenneth Arrow's impossibility theorem, as set out in his path-breaking Social Choice and Individual Values in 1951, has shown that the social welfare function - one of the...

In this paper the concepts of manipulation as strategic voting (misrepresentation of true preferences) and strategic nomination (by adding, or removing alternatives) are investigated. The connection between Arrow’s and Gibbard-Satterthwaite theorems is discussed from the viewpoint of dilemma...

Utilitarian voting (UV) is defined in this paper as any voting rule that allows the voter to rank all of the alternatives by means of the scores permitted under a given voting scale. Specific UV rules that have been proposed are approval voting, allowing the scores 0, 1; range voting, allowing...

The problem of how to rationally aggregate probability measures occurs in particular (i) when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single 'aggregate belief system' and (ii) when an individual whose belief system is...

Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci and Siniscalchi (Economic Theory, 48:341-375, 2011) have recently axiomatised preferences in the presence of ambiguity as Monotonic Bernoullian Archimedean (MBA) preferences. We investigate the problem of Arrovian aggregation of MBA preferences...