It is well known that the literature on judgement aggregation inherits the impossibility results from the aggregation of preferences that it generalises. This is due to the fact that the typical judgement aggregation problem induces an ultrafilter on the set of individuals. We propose a...

Applying a framework of perfect competition under uncertainty, we contribute to the discussion of whether or not ad valorem taxes and specific taxes are equivalent. While this equivalence holds without price uncertainty, we show that ad valorem taxes and specific taxes are “almost never”...

The relationship between propositional model theory and social decision making via premise-based procedures is explored. A one-to-one correspondence between ultrafilters on the population set and weakly universal, unanimity-respecting, systematic judgment aggregation functions is established....

Following the recent generalization of social choice in the literature on judgment aggregation, we extend the analysis of freedom of choice from sets of alternatives to sets of opinions. We establish the analogue of the cardinality based freedom of choice measure and suggest an alternative...

Extending on an impossibility result by Baigent [1], it is shown that an anonymous social choice procedure which preserves preference proximity cannot satisfy the weakest possible form of non-imposition.

This paper gives a formulation for the condition of preservation of preference proximity which, unlike previous formulations, respects the spirit of anonymity pervading social choice theory. Proximity preservation is however shown to be inconsistent with a very weak condition guaranteeing a...