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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 24 / No. 1: Twenty-Fourth AAAI Conference on Artificial Intelligence

Lifting Rationality Assumptions in Binary Aggregation

March 8, 2023

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Authors

Umberto Grandi

University of Amsterdam


Ulle Endriss

University of Amsterdam


DOI:

10.1609/aaai.v24i1.7603


Abstract:

We consider problems where several individuals each need to make a yes/no choice regarding a number of issues and these choices then need to be aggregated into a collective choice. Depending on the application at hand, different combinations of yes/no may be considered rational. We can describe such rationality assumptions in terms of a propositional formula. The question then arises whether or not a given aggregation procedure will lift the rationality assumptions from the individual to the collective level, i.e., whether the collective choice will be rational whenever all individual choices are. To address this question, for each of a number of simple fragments of the language of propositional logic, we provide an axiomatic characterisation of the class of aggregation procedures that will lift all rationality assumptions expressible in that fragment.

Topics: AAAI

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HOW TO CITE:

Umberto Grandi|| Ulle Endriss Lifting Rationality Assumptions in Binary Aggregation Proceedings of the AAAI Conference on Artificial Intelligence, 24 (2010) 780.

Umberto Grandi|| Ulle Endriss Lifting Rationality Assumptions in Binary Aggregation AAAI 2010, 780.

Umberto Grandi|| Ulle Endriss (2010). Lifting Rationality Assumptions in Binary Aggregation. Proceedings of the AAAI Conference on Artificial Intelligence, 24, 780.

Umberto Grandi|| Ulle Endriss. Lifting Rationality Assumptions in Binary Aggregation. Proceedings of the AAAI Conference on Artificial Intelligence, 24 2010 p.780.

Umberto Grandi|| Ulle Endriss. 2010. Lifting Rationality Assumptions in Binary Aggregation. "Proceedings of the AAAI Conference on Artificial Intelligence, 24". 780.

Umberto Grandi|| Ulle Endriss. (2010) "Lifting Rationality Assumptions in Binary Aggregation", Proceedings of the AAAI Conference on Artificial Intelligence, 24, p.780

Umberto Grandi|| Ulle Endriss, "Lifting Rationality Assumptions in Binary Aggregation", AAAI, p.780, 2010.

Umberto Grandi|| Ulle Endriss. "Lifting Rationality Assumptions in Binary Aggregation". Proceedings of the AAAI Conference on Artificial Intelligence, 24, 2010, p.780.

Umberto Grandi|| Ulle Endriss. "Lifting Rationality Assumptions in Binary Aggregation". Proceedings of the AAAI Conference on Artificial Intelligence, 24, (2010): 780.

Umberto Grandi|| Ulle Endriss. Lifting Rationality Assumptions in Binary Aggregation. AAAI[Internet]. 2010[cited 2023]; 780.


ISSN: 2374-3468


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