We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets players (reflecting, e.g., ideological proximity) using paradigm dynamic programming. Starting from state-of-the-art algorithms computing Banzhaf and Shapley–Shubik games, we present a framework fast three most common precoalitions, i.e., Owen index, Banzhaf–Owen index symmetric coal...

In 1938, Owen described a malignant renal neoplasm with a peculiar histological pattern. The peculiarity consisted in the tumour cells forming glomerular structures made up of cuboidal cells with clear cytoplasm, indistinct borders and round hyperchromatic nuclei. The glomerular structures had no vascular tufts but showed, at the periphery, a limiting membrane lined by cuboidal cells in one or ...

In this paper we introduce a new class of cooperative games that arise from production-inventory problems. Several agents have to cover their demand over a finite time horizon and shortages are allowed. Each agent has its own unit production, inventory-holding and backlogging cost. Cooperation among agents is given by sharing production processes and warehouse facilities: agents in a coalition ...

David Owen (Owen D)1, Joseph Ferguson (Ferguson J)2, Benjamin Keaton (Keaton B)2, Rodney Hansen (Hansen R)2, Gregory Norris (Norris GH)3 and David Aguilar (Aguilar D)2 1Department of Bachelor of Integrated Studies, Weber State University, Ogden, UT 84408 2Department of Athletic Training and Nutrition, Weber State University, Ogden, UT 84408 3Department of Nutritional Sciences, University of Con...

The mechanism by Hart and Mas-Colell (1996) for non-transferable utility (NTU) games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for transferable utility (TU) games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games with trivial coalition structure. Furthermore, we ob...

A compact axiomatic characterization of the modified Banzhaf value for games with a coalition structure (Banzhaf–Owen value, for short) is provided. The axiomatic system used here can be compared with parallel axiomatizations of other coalitional values such as the Owen value or the Alonso–Fiestras value, thus giving arguments to defend the use of one of them that will depend on the context whe...

M Arnold--Chamney, S Bateman, K Owen, Jesudason, McDonald, O Pearson, N Sinclair, I Williamson, O, Donnell K, J Kelly

phys. Res. 92,14987 (1987); G. F. Lindal, Astron. J. 103, 967 (1992). 11. T. Guillot, G. Chabrier, D. Gautier, P. Morel, Icarus 112, 57 (1994). 12. D. Gautier and T. Owen, in Origin and Evolution of Planetary and Satellite Atmospheres, S. K. Atreya, J. B. Pollack, M. S. Matthews, Eds. (Univ. of Arizona Press, Tucson, 1989), pp. 487-512. 13. D. Gautier, B. J. Conrath, T. Owen, I. De Pater, S. K....

In this paper we introduce a new coalitional value in the context of TU games with an a priori system of unions, which it is called the symmetric coalitional Banzhaf value. This value satisfies the property of symmetry in the quotient game, the quotient game property, and it is a coalitional value of Banzhaf. Several characterizations are provided and two political examples illustrate the diffe...

In this paper a new model of multichoice games with a coalition structure is proposed, which can be seen as an extension of the Owen coalition structure. A coalitional value on the given model is defined, which can be seen as an extension of the Owen value. Three axiomatic systems are studied. The first one is enlightened by Owen’s characterization for the Owen value and Faigle and Kern’s chara...