{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/multiwinner-voting-with-fairness-constraints","title":"Multiwinner Voting with Fairness Constraints","arxiv_id":"1710.10057","date":"2017-10-27","proceeding":null,"authors":["L. Elisa Celis","Lingxiao Huang","Nisheeth K. Vishnoi"],"abstract":"Multiwinner voting rules are used to select a small representative subset of\ncandidates or items from a larger set given the preferences of voters. However,\nif candidates have sensitive attributes such as gender or ethnicity (when\nselecting a committee), or specified types such as political leaning (when\nselecting a subset of news items), an algorithm that chooses a subset by\noptimizing a multiwinner voting rule may be unbalanced in its selection -- it\nmay under or over represent a particular gender or political orientation in the\nexamples above. We introduce an algorithmic framework for multiwinner voting\nproblems when there is an additional requirement that the selected subset\nshould be \"fair\" with respect to a given set of attributes. Our framework\nprovides the flexibility to (1) specify fairness with respect to multiple,\nnon-disjoint attributes (e.g., ethnicity and gender) and (2) specify a score\nfunction. We study the computational complexity of this constrained multiwinner\nvoting problem for monotone and submodular score functions and present several\napproximation algorithms and matching hardness of approximation results for\nvarious attribute group structure and types of score functions. We also present\nsimulations that suggest that adding fairness constraints may not affect the\nscores significantly when compared to the unconstrained case.","url_abs":"http://arxiv.org/abs/1710.10057v2","url_pdf":"http://arxiv.org/pdf/1710.10057v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"multiwinner-voting-with-fairness-constraints","repo_url":"https://github.com/huanglx12/Balanced-Committee-Election","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[{"task_slug":"attribute","task_name":"Attribute"},{"task_slug":"fairness","task_name":"Fairness"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1710.10057","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}