Social Welfare Maximization in Approval-Based Committee Voting under Uncertainty
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917418647945216 |
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| author | Aziz, Haris Guo, Yuhang Kagita, Venkateswara Rao Rastegari, Baharak Suzuki, Mashbat |
| author_facet | Aziz, Haris Guo, Yuhang Kagita, Venkateswara Rao Rastegari, Baharak Suzuki, Mashbat |
| contents | Approval voting is widely used for making multi-winner voting decisions. The canonical rule (also called Approval Voting) used in the setting aims to maximize social welfare by selecting candidates with the highest number of approvals. We revisit approval-based multi-winner voting in scenarios where the information regarding the voters' preferences is uncertain. We present several algorithmic results for problems related to social welfare maximization under uncertainty, including computing the social welfare probability distribution of a given outcome, computing the probability that a given outcome is social welfare maximizing, computing an outcome that is social welfare maximizing with the highest probability, and understanding how robust an outcome is with respect to social welfare maximization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00885 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Social Welfare Maximization in Approval-Based Committee Voting under Uncertainty Aziz, Haris Guo, Yuhang Kagita, Venkateswara Rao Rastegari, Baharak Suzuki, Mashbat Computer Science and Game Theory Approval voting is widely used for making multi-winner voting decisions. The canonical rule (also called Approval Voting) used in the setting aims to maximize social welfare by selecting candidates with the highest number of approvals. We revisit approval-based multi-winner voting in scenarios where the information regarding the voters' preferences is uncertain. We present several algorithmic results for problems related to social welfare maximization under uncertainty, including computing the social welfare probability distribution of a given outcome, computing the probability that a given outcome is social welfare maximizing, computing an outcome that is social welfare maximizing with the highest probability, and understanding how robust an outcome is with respect to social welfare maximization. |
| title | Social Welfare Maximization in Approval-Based Committee Voting under Uncertainty |
| topic | Computer Science and Game Theory |
| url | https://arxiv.org/abs/2503.00885 |