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The core of an approval-based PB instance can be empty for nearly all cost-based satisfaction functions and for the share.

. CoRR, (2023)

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Approval-Based Shortlisting., and . AAMAS, page 737-745. ACM, (2021)Ranking Sets of Defeasible Elements in Preferential Approaches to Structured Argumentation: Postulates, Relations, and Characterizations., and . AAAI, page 6435-6443. AAAI Press, (2021)Encoding Choice Logics in ASP., , and . ICLP Workshops, volume 2678 of CEUR Workshop Proceedings, CEUR-WS.org, (2020)Ranking Sets of Objects: The Complexity of Avoiding Impossibility Results.. J. Artif. Intell. Res., (2022)Fast lifting wavelet transform and its implementation in Java., and . PWC, volume 245 of IFIP, page 488-496. Springer, (2007)Fairness in Participatory Budgeting via Equality of Resources., , , and . AAMAS, page 2031-2039. ACM, (2023)Ranking Specific Sets of Objects., and . BTW (Workshops), volume P-266 of LNI, page 193-201. GI, (2017)A New Logic for Jointly Representing Hard and Soft Constraints., and . PRUV@IJCAR, volume 2157 of CEUR Workshop Proceedings, CEUR-WS.org, (2018)Sequent Calculi for Choice Logics., , , and . IJCAR, volume 13385 of Lecture Notes in Computer Science, page 331-349. Springer, (2022)Combining Voting and Abstract Argumentation to Understand Online Discussions., , , and . AAMAS, page 170-179. International Foundation for Autonomous Agents and Multiagent Systems / ACM, (2024)