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Bibliographic Details
Main Authors: Jiang, Junli, Naumov, Pavel
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.02582
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author Jiang, Junli
Naumov, Pavel
author_facet Jiang, Junli
Naumov, Pavel
contents Responsibility has long been a subject of study in law and philosophy. More recently, it became a focus of AI literature. The article investigates the computational complexity of two important properties of responsibility in collective decision-making: diffusion and gap. It shows that the sets of diffusion-free and gap-free decision-making mechanisms are $Π_2$-complete and $Π_3$-complete, respectively. At the same time, the intersection of these classes is $Π_2$-complete.
format Preprint
id arxiv_https___arxiv_org_abs_2507_02582
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Responsibility Gap and Diffusion in Sequential Decision-Making Mechanisms
Jiang, Junli
Naumov, Pavel
Artificial Intelligence
Responsibility has long been a subject of study in law and philosophy. More recently, it became a focus of AI literature. The article investigates the computational complexity of two important properties of responsibility in collective decision-making: diffusion and gap. It shows that the sets of diffusion-free and gap-free decision-making mechanisms are $Π_2$-complete and $Π_3$-complete, respectively. At the same time, the intersection of these classes is $Π_2$-complete.
title Responsibility Gap and Diffusion in Sequential Decision-Making Mechanisms
topic Artificial Intelligence
url https://arxiv.org/abs/2507.02582