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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 6: AAAI-21 Technical Tracks 6

On the Complexity of Finding Justifications for Collective Decisions

February 1, 2023

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Authors

Arthur Boixel

University of Amsterdam


Ronald de Haan

University of Amsterdam


DOI:

10.1609/aaai.v35i6.16656


Abstract:

In a collective decision-making process, having the possibility to provide non-expert agents with a justification for why a target outcome is a good compromise given their individual preferences, is an appealing idea. Such questions have recently been addressed in the computational social choice community at large---whether it was to explain the outcomes of a specific rule in voting theory or to seek transparency and accountability in multi-criteria decision making. Ultimately, the development of real-life applications based on these notions depends on their practical feasibility and on the scalability of the approach taken. In this paper, we provide computational complexity results that address the problem of finding and verifying justifications for collective decisions. In particular, we focus on the recent development of a general notion of justification for outcomes in voting theory. Such a justification consists of a step-by-step explanation, grounded in a normative basis, showing how the selection of the target outcome follows from the normative principles considered. We consider a language in which normative principles can be encoded---either as an explicit list of instances of the principles (by means of quantifier-free sentences), or in a succinct fashion (using quantifiers). We then analyse the computational complexity of identifying and checking justifications. For the case where the normative principles are given in the form of a list of instances, verifying the correctness of a justification is DP-complete and deciding on the existence of such a justification is complete for Sigma 2 P. For the case where the normative principles are given succinctly, deciding whether a justification is correct is in NEXP wedge coNEXP, and NEXP-hard, and deciding whether a justification exists is in EXP with access to an NP oracle and is NEXP-hard.

Topics: AAAI

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HOW TO CITE:

Arthur Boixel||Ronald de Haan On the Complexity of Finding Justifications for Collective Decisions Proceedings of the AAAI Conference on Artificial Intelligence (2021) 5194-5201.

Arthur Boixel||Ronald de Haan On the Complexity of Finding Justifications for Collective Decisions AAAI 2021, 5194-5201.

Arthur Boixel||Ronald de Haan (2021). On the Complexity of Finding Justifications for Collective Decisions. Proceedings of the AAAI Conference on Artificial Intelligence, 5194-5201.

Arthur Boixel||Ronald de Haan. On the Complexity of Finding Justifications for Collective Decisions. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.5194-5201.

Arthur Boixel||Ronald de Haan. 2021. On the Complexity of Finding Justifications for Collective Decisions. "Proceedings of the AAAI Conference on Artificial Intelligence". 5194-5201.

Arthur Boixel||Ronald de Haan. (2021) "On the Complexity of Finding Justifications for Collective Decisions", Proceedings of the AAAI Conference on Artificial Intelligence, p.5194-5201

Arthur Boixel||Ronald de Haan, "On the Complexity of Finding Justifications for Collective Decisions", AAAI, p.5194-5201, 2021.

Arthur Boixel||Ronald de Haan. "On the Complexity of Finding Justifications for Collective Decisions". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.5194-5201.

Arthur Boixel||Ronald de Haan. "On the Complexity of Finding Justifications for Collective Decisions". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 5194-5201.

Arthur Boixel||Ronald de Haan. On the Complexity of Finding Justifications for Collective Decisions. AAAI[Internet]. 2021[cited 2023]; 5194-5201.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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