One feature of legislative bargaining in naturally occurring settings is that the distribution of seats or voting weights often does not accurately reflect bargaining power. Game-theoretic predictions about payoffs and coalition formation are insensitive to nominal differences in vote...

For one of the most prominent solution concepts for cooperative TU games, we show that in the weighted case the nucleolus tends to the weights as the number of players increases under very mild conditions. We give a sufficient characterization for the case of coincidence between weights and...