We consider various lexicographic allocation procedures for coalitional games with transferable utility where the payoffs are computed in an externally given order of the players. The common feature of the methods is that if the allocation is in the core, it is an extreme point of the core. We...

In this paper we explore the relationship between an equitable distribution of the cost shares in public-good provision on the one hand and the core property of an allocation on the other. In particular we show that it is an inhomogeneous distribution of cost shares that motivates some coalition...

In this paper we explore the relationship between an equitable distribution of the cost shares in public-good provision on the one hand and the core property of an allocation on the other. In particular we show that it is an inhomogeneous distribution of cost shares that motivates some coalition...

A cooperative situation is characterized by a group of players choosing from a set of alternatives, where each alternative results in a joint cost. In this paper we assume that an alternative with minimum total cost will be chosen and we focus on the corresponding cost allocation problem by...

A new concept of consistency for cost sharing solutions is discussed, analyzed, and related to the homonymous property within the rationing context. The class of additive and consistent mechanisms is isomorphic to the class of consistent and monotonic rationing methods. Consequently average and...

This survey captures the main contributions in the area described by the title that were published up to 1997. (Unfortunately, it does not capture all of them.) The variations that are the subject of this chapter are those axiomatically characterized solutions which are obtained by varying...