Envy-Free House Allocation under Uncertain Preferences

Authors: Haris Aziz, Isaiah Iliffe, Bo Li, Angus Ritossa, Ankang Sun, Mashbat Suzuki

AAAI 2024 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We study the envy-free house allocation problem when agents have uncertain preferences over items and consider several well-studied preference uncertainty models. The central problem that we focus on is computing an allocation that has the highest probability of being envy-free. We show that each model leads to a distinct set of algorithmic and complexity results, including detailed results on (in-)approximability. En route, we consider two related problems of checking whether there exists an allocation that is possibly or necessarily envy-free. We give a complete picture of the computational complexity of these two problems for all the uncertainty models we consider.
Researcher Affiliation Academia Haris Aziz1, Isaiah Iliffe1, Bo Li2, Angus Ritossa1, Ankang Sun2, Mashbat Suzuki1 1UNSW Sydney 2Hong Kong Polytechnic University haris.aziz@unsw.edu.au, i.iliffe@student.unsw.edu.au, bo.li@polyu.edu.hk, a.ritossa@student.unsw.edu.au, ankang.sun@polyu.edu.hk, mashbat.suzuki@unsw.edu.au
Pseudocode Yes Algorithm 1: Additive Approximation for MAX-PROBEF
Open Source Code No The paper does not provide a direct link to a source-code repository or explicitly state that the code for the described methodology is being released.
Open Datasets No This paper is theoretical and does not use datasets for training or evaluation.
Dataset Splits No This paper is theoretical and does not involve data splits for training, validation, or testing.
Hardware Specification No This paper is theoretical and does not report on specific hardware used for experiments.
Software Dependencies No This paper is theoretical and does not specify software dependencies with version numbers for experimental reproducibility.
Experiment Setup No This paper is theoretical and does not include details on an experimental setup, hyperparameters, or training configurations.