Same parliaments, to form a committee of size <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$q$$</EquationSource> </InlineEquation>, use a voting process like the following: every parliamentary member votes for one out of a fixed set of candidates, and those <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$q$$</EquationSource> </InlineEquation> candidates receiving more votes are elected for the committee. Assuming total discipline of vote, this is a...</equationsource></inlineequation></equationsource></inlineequation>

The Young's Consistency property means that when some candidates are chosen as winners by two disjoint electorates, those and only those candidates are chosen in the aggregated electorate. We define two new properties requiring that, when a candidate x is elected in a situation and a new...