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The lack of such a linear formulation can be formally established using the techniques of Xia (2025)

do not admit the same kind of linear formulations (because they would require multiplying variables corresponding to ballot frequencies with variables corresponding to ρ-values or to loads) · 2025 · ACM Transactions on Economics and Computation · DOI 10.1145/3417738

1 Pith paper cite this work, alongside 15 external citations. Polarity classification is still indexing.

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15 external citations · OpenAlex
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The Core of Approval-Based Committee Elections with Few Seats

cs.GT · 2025-01-30 · accept · novelty 7.0

Core-stable committees always exist for approval-based elections with up to 8 seats or up to 15 candidates, proved via Proportional Approval Voting and computer-verified linear programming certificates.

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  • The Core of Approval-Based Committee Elections with Few Seats cs.GT · 2025-01-30 · accept · none · ref 2016

    Core-stable committees always exist for approval-based elections with up to 8 seats or up to 15 candidates, proved via Proportional Approval Voting and computer-verified linear programming certificates.