2009

 
 

2009 AAMAS Best Paper Award


Thomas Ågotnes, Wiebe van der Hoek, Moshe Tennenholtz, and Michael Wooldridge.  Power in Normative Systems.  Proceedings of the 8th International Conference on Autonomous Agents and Multi-Agent Systems (AAMAS-2009). Budapest, Hungary, May 2009.

Power indices such as the Banzhaf index were originally developed within voting theory in an attempt to rigourously characterise the influence that a voter is able to wield in a particular voting game. In this paper, we show how such power indices can be applied to understanding the relative importance of agents when we attempt to devise a co-ordination mechanism using the paradigm of social laws, or normative systems. Understanding how pivotal an agent is with respect to the success of a particular social law is of benefit when designing such social laws: we might typically aim to ensure that power is distributed evenly amongst the agents in a system, to avoid bottlenecks or single points of failure. After formally defining the framework and illustrating the role of power indices in it, we investigate the complexity of computing these indices, showing that the characteristic complexity result is #P-completeness. We then investigate cases where computing indices is computationally easy. 

2008 AAMAS Best Paper Award


Paul E. Dunne, Wiebe van der Hoek, Sarit Kraus, and Michael Wooldridge, Cooperative Boolean games.  Proceedings of the 7th International Conference on Autonomous Agents and Multiagent Systems (AAMAS-2008). Estoril, Portugal, May, 2008

We present and formally investigate Cooperative Boolean Games, a new, natural family of coalitional games that are both compact and expressive. In such a game, an agent’s primary aim is to achieve its individual goal, which is represented as a propositional logic formula over some set of Boolean variables. Each agent is assumed to exercise unique control over some subset of the overall set of Boolean variables, and the set of valuations for these variables corresponds to the set of actions the agent can take. However, the actions available to an agent are assumed to have some cost, and an agent’s secondary aim is to minimise its costs. Typically, an agent must cooperate with others because it does not have sufficient control to ensure its goal is satisfied. However, the desire to minimise costs leads to preferences over possible coalitions, and hence to strategic behaviour. Following an introduction to the formal framework of Cooperative Boolean Games, we investigate solution concepts of the core and stable sets for them. In each case, we characterise the complexity of the associated solution concept, and discuss the surrounding issues. Finally, we present a bargaining protocol for cooperation in Boolean games, and characterise the strategies in equilibrium for this protocol.