Measurable Majorities Are Not Finitely Axiomatizable
This theoretical note studies the finite axiomatizability of strict majority reasoning in finite social decision frames. Moss and Pedersen (2026) <doi: 10.48550/arXiv.2606.23853> introduce a coherence criterion that characterizes exactly when qualitative majority judgments are representable by a finitely additive measure. The question addressed here is whether that coherence criterion can be replaced, in the finite setting, by any bounded finite fragment. We prove that it cannot. For every $k\ge 1$, we construct a maximal standard frame whose shortest coherence violation has length exactly $2k+2$. Hence there is no uniform finite bound on the incoherence index of social decision frames, r...
| Authors | Lawrence S. Moss, Arthur Paul Pedersen |
|---|---|
| Primary category | econ.TH |
| Published | 24 June 2026 |
| Last updated at source | 24 June 2026 |
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