Affiliations: Dipartimento di Informatica, Università di Torino,
Italy | Dipartimento di Scienze Fisiche, Università
"Federico II" di Napoli, Italy | Computer Science and Communications, University of
Luxembourg, Luxembourg
Abstract: In this paper we introduce a method to measure the social importance
of an agent in a multiagent system, using a directed graph representing
dependencies among agents to achieve their goals, so-called dependence graphs
pioneered by Castelfranchi, Conte and Sichman. Our measure is derived from van
den Brink and Gilles' β-measure to rank agents, using a
directed graph representing an abstract dominance relation among agents. In
particular, we show how to define power structures and dependence networks from
the goals and skills of individual agents, and how to adapt the
β-measure for such dependence networks based on their
topological properties. Moreover, we show that our notion of social importance
can be given an intuitive meaning: it measures the discontent of the other
agents in case the agent would leave the society.
Keywords: Cooperation, dependence networks, social importance