Collective argument evaluation as judgement aggregation

  • Authors:
  • Iyad Rahwan;Fernando Tohmé

  • Affiliations:
  • Masdar Institute of Science & Technology, UAE and Massachusetts Institute of Technology, Cambridge MA and University of Edinburgh, UK;Universidad Nacional del Sur, Bahía, Blanca, CONICET, Argentina

  • Venue:
  • Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
  • Year:
  • 2010

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Abstract

A conflicting knowledge base can be seen abstractly as a set of arguments and a binary relation characterising conflict among them. There may be multiple plausible ways to evaluate conflicting arguments. In this paper, we ask: given a set of agents, each with a legitimate subjective evaluation of a set of arguments, how can they reach a collective evaluation of those arguments? After formally defining this problem, we extensively analyse an argument-wise plurality voting rule, showing that it suffers a fundamental limitation. Then we demonstrate, through a general impossibility result, that this limitation is more fundamentally rooted. Finally, we show how this impossibility result can be circumvented by additional domain restrictions.