LS Penrose’s limit theorem (PLT) – which is implicit in Penrose [5, p. 72] and for which he gave no rigorous proof – says that, in simple weighted voting games, if the number of voters increases indefinitely while existing voters retain their weights and the relative quota is pegged, then...

Theory suggests that a united charity helps to economize on fundraising costs by reducing competition for donations among member charities. However, donors often cannot control the allocation of their donations, and charities may dislike the monitoring of their activities. This paper examines...

The authors consider a system made up of two committees, with overlapping membership but with different rules for passing decisions; the passage of a joint resolution requires separate approval by each committee. They show that it is possible for one voter a to be stronger (have greater voting...