Coherent About What? Task Shape, Presentation Order, and Reasoning Depth in LLM Preference Transitivity

Ajaay Venkadeswaran, Sudhaunshu Hardikar, Aedan McCarthy, Eva Ge, Jake Lyons

Claims that a language model "has values" presuppose that its choices form a stable object. We test that presupposition directly. Using forced binary choice over complete round-robin tournaments — 10 apartments described by 3, 5, or 10 numeric attributes, and 10 public-domain poems per structural form (haiku, sonnet, villanelle) — we elicit 59,130 pairwise judgments across four model families, six measurement arms, and three to four reasoning levels each, showing every pair in both presentation orders. Four findings. (i) Transitivity is a property of task shape rather than of the model: apartment cycling disappears entirely at 5 visible criteria but reappears at both 3 (p = 0.007) and 10 (p = 0.001) criteria. (ii) An item set engineered so that no apartment Pareto-dominates any other nonetheless yields a near-total behavioural order — apartment F wins 99.6% of its 486 matchups and apartment A wins 0.0% — reproducing in all six arms; the fitted Bradley–Terry utility disagrees with exactly one of 45 majority edges, which we show is the combinatorial minimum forced by the observed cycle count. (iii) Reasoning depth does not degrade coherence: the Gemini and GPT-4.1-mini arms stay under 4% cycling at every level, while DeepSeek V4 Flash cycles up to 21.9% with no reasoning and improves sharply once any is applied. (iv) The qualitative/quantitative asymmetry lies not in coherence but in groundedness: poems cycle no more than apartments, yet are far more position-driven (up to 93%), and for one model that bias strengthens under deliberation. Low cycle rates certify consistency, not content-sensitivity.

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Cite this work

@misc {

title={

(HckPrj) Coherent About What? Task Shape, Presentation Order, and Reasoning Depth in LLM Preference Transitivity

},

author={

Ajaay Venkadeswaran, Sudhaunshu Hardikar, Aedan McCarthy, Eva Ge, Jake Lyons

},

date={

},

organization={Apart Research},

note={Research submission to the research sprint hosted by Apart.},

howpublished={https://apartresearch.com}

}

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This work was done during one weekend by research workshop participants and does not represent the work of Apart Research.
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