The desirability relation was introduced by Isbell (1958) to qualitatively compare the a priori influence of voters in a simple game. In this paper, we extend this desirability relation to simple games with coalition structure. In these games, players organize themselves into a priori disjoint coalitions. It appears that the desirability relation defined in this paper is a complete preorder in ...

TU games with two-level communication structure, in which a two-level communication structure relates fundamentally to the given coalition structure and consists of a communication graph on the collection of the a priori unions in the coalition structure, as well as a collection of communication graphs within each union, are considered. For such games we introduce two families of two-step value...

This paper is mainly to discuss cooperative games on convex geometries with a coalition structure, which can be seen as an extension of cooperative games with a coalition structure. For this kind of games, the cooperation among unions and within each union will be the convex sets, i.e., the feasible subsets of the coalition structure and that of each union belong to a convex geometry, respectiv...

TU games with two-level communication structure, in which a two-level communication structure relates fundamentally to the given coalition structure and consists of a communication graph on the collection of the a priori unions in the coalition structure, as well as a collection of communication graphs within each union, are considered. For such games we introduce two families of two-step value...

The aim of this paper is to compute Shapley’s and Banzhaf’s values of cooperative games restricted by a combinatorial structure. There have been previous models developed to study the problem of games with partial cooperation. Games restricted by a communication graph were introduced by Myerson and Owen. Another type of combinatorial structure introduced by Gilles, Owen and van den Brink is equ...

Owen (1988) showed that the non-parametric empirical likelihood ratio under a linear constrain has an asymptotic chi-square distribution, same as in the paramet-ric case. This fact can be used to form (non-parametric, asymptotic) conndence intervals. We suggest here to use the non-parametric version of the Pearson's chi-square statistic instead of the likelihood ratio to form conndence interval...

An enzyme which promotes the degradation of insulin has been isolated from beef liver (2, 3). This enzyme, which has been designated glutathione-insulin transhydrogenase (4), catalyzes the reductive cleavage of the disulfide bonds of insulin by a simple sulfhydryl compound such as glut,athione (4, 5). Because the process of degradation may be important in the etiology of diabetes mellitus, expe...

Production-inventory games were introduced in [Guardiola, L.A., Meca, A., Puerto, J. (2008). Production-Inventory games: A new class of totally balanced combinatorial optimization games. Games Econom. Behav. doi:10.1016/j.geb.2007.02.003] as a new class of totally balanced combinatorial optimization games. From among all core-allocations, the Owen point was proposed as a specifically appealing ...

The goal of this paper is to develop a theoretical framework in order to analyze cooperative games in which only certain coalitions are allowed to form. We will axiomatize the structure of such allowable coalitions using the theory of antimatroids, a notion developed to combinatorially abstract sets. There have been previous models developed to confront the problem of unallowable coalitions. Ga...

937 Owen Sansom, Deputy Director of the Cancer Research UK Beatson Institute, began his research career investigating the molecular mechanisms of apoptosis. Over the course of his work he has moved progressively into a more translational arena, and the current focus of his lab is to understand the signalling pathways underlying colorectal and pancreatic cancers. The Sansom lab uses mouse models...