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Directional Revision under Two-Horizon Deliberation: A Revealed-Preference Analysis

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  • Sinan Ertemel

Abstract

We study deterministic choice when the same decision maker is observed before and after a deliberative intervention that makes one of two fixed ordinal consequence dimensions more salient. Both choice modes are path independent. Ordinary choice respects two-dimensional dominance, while any binary reversal under fuller deliberation must favor the alternative that is strictly better on the emphasized dimension. We characterize exactly the admissible ordinary and full-horizon rankings. The characterization yields a protected partial order, sharp pairwise and menu-level identification, a signed restriction on menu-level choice changes, and an acyclicity test for incomplete observations. With an ordered sequence of deliberative modes, choices from any fixed menu form a monotone tradeoff path: every switch improves the emphasized dimension, worsens the other dimension, and an abandoned alternative cannot reappear. When the emphasized consequence order is strict, the admissible rankings have an equivalent Kemeny-Kendall representation. The framework is ordinal: it requires neither a cardinal tradeoff nor lexicographic priority, and it applies whenever deliberation gives greater emphasis to one of two fixed consequence dimensions.

Suggested Citation

  • Sinan Ertemel, 2026. "Directional Revision under Two-Horizon Deliberation: A Revealed-Preference Analysis," Papers 2608.23781, arXiv.org.
    • Handle: RePEc:arx:papers:2608.23781
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    1. Sebastian Silva-Leander & Suman Seth, 2017. "Revealed preferences with plural motives: axiomatic foundations of normative assessments in non-utilitarian welfare economics," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 505-517, March.
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