- Conditional importance networks: A graphical language for representing ordinal, monotonic preferences over sets of goods
- 21st International Joint Conference on Artificial Intelligence (IJCAI-2009), Pasadena, CA, USA
- Book/source title
- IJCAI-09: proceedings of the Twenty-First International Joint Conference on Artificial Intelligence: Pasadena, California, USA, 11-17 July 2009
- Pages (from-to)
- Menlo Park, CA: AAAI Press
- Document type
- Conference contribution
- Interfacultary Research Institutes
- Institute for Logic, Language and Computation (ILLC)
While there are several languages for representing combinatorial preferences over sets of alternatives, none of these are well-suited to the representation of ordinal preferences over sets of goods (which are typically required to be monotonic). We propose such a language, taking inspiration from previous work on graphical languages for preference representation, specifically CP-nets, and introduce conditional importance networks (CI-nets). A CI-net includes statements of the form "if I have a set A of goods, and I do not have any of the goods from some other set B, then I prefer the set of goods C over the set of goods D." We investigate expressivity and complexity issues for CI-nets. Then we show that CI-nets are well-suited to the description of fair division problems.
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