Sequential influence diagrams: A unified asymmetry framework

  • Authors:
  • Finn V. Jensen;Thomas D. Nielsen;Prakash P. Shenoy

  • Affiliations:
  • Department of Computer Science, Aalborg University, Fredrik Bajers vej 7E, 9220 Aalborg Ø, Denmark;Department of Computer Science, Aalborg University, Fredrik Bajers vej 7E, 9220 Aalborg Ø, Denmark;School of Business, University of Kansas, 1300 Sunnyside Ave., Summerfield Hall, Lawrence, KS 66045-7585, USA

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2006

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Abstract

We describe a new graphical language for specifying asymmetric decision problems. The language is based on a filtered merge of several existing languages including sequential valuation networks, asymmetric influence diagrams, and unconstrained influence diagrams. Asymmetry is encoded using a structure resembling a clustered decision tree, whereas the representation of the uncertainty model is based on the (unconstrained) influence diagram framework. We illustrate the proposed language by modeling several highly asymmetric decision problems, and we describe an efficient solution procedure.