In this paper we provide some technical results related to the Lorenz dominance, which allow to prove that the allocation obtained by the algorithm in Dutta and Ray (1989), when exists, and the elements of the equal split-off set always Lorenz dominate every allocation in the core of the game

This paper deals with a new class of multi-choice games, the class of multi-choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes...

In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games.Some difficulties arise when dealing with these infinite games, especially to tackle the vectors of marginal contributions.In order to solve these problems we use a...

The core of games arising from semi-infinite transportation situations with infinitely divisible goods is studied. In these situations one aims at maximizing the profit from transporting a good from a finite number of suppliers to an infinite number of demanders. This good is infinitely...

Games corresponding to semi-infinite transportation and related assignment situations are studied. In a semi-infinite transportation situation, one aims at maximizing the profit from the transportation of a certain good from a finite number of suppliers to an infinite number of demanders. An...

We study linear production situations with an infinite number of production techniques. Such a situation gives rise to a semi-infinite linear program. Related to this program, we introduce primal and dual games and study relations between these games, the cores of these games and the so-called...

This paper deals with bankruptcy situations in which, in addition to the claims, an exogenously given reference point for the allocation of the estate is present. We introduce and analyse two types of compromise solutions and show that they coincide with the T value of two corresponding TU...

This paper deals with a specific aspect of the problem of coalition formation in a situation described by a TU-game. First, we define a very simple normal form game which models the process of coalition formation. To define the payoff functions of the players we use an allocation rule for...