Knowledge and social laws

  • Authors:
  • Wiebe van der Hoek;Mark Roberts;Michael Wooldridge

  • Affiliations:
  • University of Liverpool, Liverpool, UK;University of Liverpool, Liverpool, UK;University of Liverpool, Liverpool, UK

  • Venue:
  • Proceedings of the fourth international joint conference on Autonomous agents and multiagent systems
  • Year:
  • 2005

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Abstract

In this paper we combine existing work in the area of social laws with a framework for reasoning about knowledge in multi-agent systems. The unifying framework in which this is done is based on Alternating-time Temporal Logic (ATL), to which semantics we add epistemic accessibility relations (to deal with the knowledge), actions (in order to naturally talk about allowed and forbidden actions) and updates (to model the effect of the implementation of the constraint in a social law). Apart from a constraint, a social law has an objective: in our formalism, such objectives may refer to the knowledge that agents possess or do not possess. The result is a framework in which we can, for example, express that a desirable property (objective) of a social law is that one agent has the ability to bring about a certain type of knowledge in another agent, or that if one agent knows something, then it should behave in a certain way. We illustrate our approach with a case study, and we use model checking to demonstrate that properties of social laws with respect to this case study.