Impediments to universal preference-based default theories
Artificial Intelligence - Special issue on knowledge representation
Strategic voting when aggregating partially ordered preferences
AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
A Short Introduction to Computational Social Choice
SOFSEM '07 Proceedings of the 33rd conference on Current Trends in Theory and Practice of Computer Science
Preference aggregation with graphical utility models
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 2
The Epistemic View of Belief Merging: Can We Track the Truth?
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
Comparing multiagent systems research in combinatorial auctions and voting
Annals of Mathematics and Artificial Intelligence
Aggregating value ranges: preference elicitation and truthfulness
Autonomous Agents and Multi-Agent Systems
Some representation and computational issues in social choice
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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We consider preferences which can be partially ordered and which need to be aggregated. We prove that, under certain conditions, if there are at least two agents and three outcomes, no aggregation system on partially ordered preferences can be fair. These result generalizes Arrow's impossibility theorem for combining total orders. We also provide two sufficient conditions which guarantee fairness for the majority rule over partial orders. This allows us to generalize Sen's theorem for total orders. Finally, we give a generalization of the Muller-Satterthwaite result for social choice functions over partial orders.