In this paper we study a class of cooperative sequencing games that arise from one-machine sequencing situations in which chain precedence relations are imposed on the jobs.It is shown that these sequencing games are convex.

By generalizing the standard solution for 2-person games into n-person cases, this paper develops a new solution concept for cooperative games: the consensus value.We characterize the consensus value as the unique function that satisfies efficiency, symmetry, the quasi dummy property and...

This paper considers sequencing situations with due date criteria. Three different types of criteria are considered: the weighted penalty criterion, the weighted tardiness criterion and the completion time criterion. The main focus is on convexity of the associated cooperative games.

In this paper we consider information collecting (IC) situations where an action taker in an uncertain situation can improve his action choices by gathering information from some players who are more informed about the situation. Then the problem of sharing the gains when cooperating with...

In this paper we study cooperative cost games arising from domination problems on graphs.We introduce three games to model the cost allocation problem and we derive a necessary and su cient condition for the balancedness of all three games.Furthermore we study concavity of these games.

The T -measure is introduces as a method to rank the nodes in a digraph competition.It coincides with the T -value of an associated transferable utility game, the so-called digraph game.The T -measure is characterized in two ways.One of them is based on a characterization of the T -value in...

The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-games. It demonstrates that most of the results obtained by Carreras F, Freixas J (2008) in the case of semivalues and simple games are transposable on LES values and the whole TU-games set. In...

This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics,...

The study of coalition formation under uncertainty poses subtle questions regarding the appropriate definition of the core. In this paper a new core concept, the interim sequential core (ISC), is proposed as a solution concept to transferable utility games with uncertainty when binding...

AbstractThe following sections are included:An Overview of the ModelFCS GamesConsiderable Solutions in FCS GamesThe CoreDetermination of the Feasible Condition StructuresA Coalition for Production and SaleA Production-and-Sale Coalition in a Steady StateOptimality within the CoalitionBargaining...