Logical Preference Representation and Combinatorial Vote

  • Authors:
  • Jérôme Lang

  • Affiliations:
  • IRIT, Université Paul Sabatier, 31062 Toulouse Cedex, France E-mail: lang@irit.fr

  • Venue:
  • Annals of Mathematics and Artificial Intelligence
  • Year:
  • 2004

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Abstract

We introduce the notion of combinatorial vote, where a group of agents (or voters) is supposed to express preferences and come to a common decision concerning a set of non-independent variables to assign. We study two key issues pertaining to combinatorial vote, namely preference representation and the automated choice of an optimal decision. For each of these issues, we briefly review the state of the art, we try to define the main problems to be solved and identify their computational complexity.