We address simple voting games (SVGs) as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This...

Monotonicity failure is widely considered a severe pathology in a voting method, and some authors regard a voting method that suffers from this pathology to be totally unacceptable. Of the various voting methods discussed prominently in the literature, five methods are subject to monotonicity...