Temporal qualitative coalitional games

  • Authors:
  • Thomas Ågotnes;Wiebe van der Hoek;Michael Wooldridge

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

  • Venue:
  • AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
  • Year:
  • 2006

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Abstract

Qualitative Coalitional Games (QCGs) are a version of coalitional games in which an agent's desires are represented as goals which are either satisfied or unsatisfied, and each choice available to a coalition is a set of goals, which would be jointly satisfied if the coalition made that choice. A coalition in a QCG will typically form in order to bring about a set of goals that will satisfy all members of the coalition. In this paper, we introduce and study Temporal QCGs (TQCGs), i.e., games in which a sequence of QCGs is played. In order to represent and reason about such games, we introduce a linear time temporal logic of QCGs, known as £ (TQCG). We give a complete axiomatization of £ (TQCG), use it to investigate the properties of TQCGs in a small example, identify its expressive power, establish its complexity, characterise classes of TQGCs with formulas from our logical language, and formulate several (temporal) solution concepts for TQCGs.