Reducing coalition structures via agreement specification

The concept of power plays an important role in the social sciences and Castelfranchi [4] emphasizes the importance of this concept for multiagent systems. In [2] we build upon this work by distinguishing four viewpoints on multiagent systems: a mind structure, a power structure, a dependence structure and a coalition structure. These viewpoints are increasingly abstract conceptualizations of systems as collections of autonomous cognitive agents. In [1] we propose a way to define coalition structures from power structures. In this paper we refine this approach using task based power views, and we relate it to central notions in game theory.