Conditional Importance Networks: A Graphical Language for Representing Ordinal, Monotonic Preferences over Sets of Goods
Abstract
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. Sylvain Bouveret, Ulle Endriss, J�r�me Lang
Cite
Text
Bouveret et al. "Conditional Importance Networks: A Graphical Language for Representing Ordinal, Monotonic Preferences over Sets of Goods." International Joint Conference on Artificial Intelligence, 2009.Markdown
[Bouveret et al. "Conditional Importance Networks: A Graphical Language for Representing Ordinal, Monotonic Preferences over Sets of Goods." International Joint Conference on Artificial Intelligence, 2009.](https://mlanthology.org/ijcai/2009/bouveret2009ijcai-conditional/)BibTeX
@inproceedings{bouveret2009ijcai-conditional,
title = {{Conditional Importance Networks: A Graphical Language for Representing Ordinal, Monotonic Preferences over Sets of Goods}},
author = {Bouveret, Sylvain and Endriss, Ulle and Lang, Jérôme},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2009},
pages = {67-72},
url = {https://mlanthology.org/ijcai/2009/bouveret2009ijcai-conditional/}
}