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Paper · arXiv

The Measurable Majority

This paper studies strict majority reasoning in finite electorates using so-called $\textit{social decision frames}$: finite sets of voters equipped with distinguished families of coalitions interpreted as those voting blocs evaluated to form a strict majority. A coherence criterion for qualitative majority judgments is identified and shown to give an exact characterization for representability of strict majorities by finitely additive measures. In addition, a minimal natural logic for reasoning about strict majorities is shown to be sound and complete. These developments motivate examination of associated combinatorial questions concerning incoherence in finite families of sets; partial ...

AuthorsLawrence S. Moss, Arthur Paul Pedersen
Primary categoryecon.TH
Published22 June 2026
Last updated at source22 June 2026
econ.THcs.AIcs.LOmath.PR
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