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A Polynomial-Time Test for Peak-Oriented Rationalizability

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  • Taotao He
  • Runfa Hu

Abstract

We study the computational complexity of peak-oriented rationalizability, a survey based revealed-preference test introduced by Seror (2026). We provide a polynomial-time algorithm for testing rationalizability and recovering a utility function, establishing that peak-oriented preference elicitation is computationally tractable. In contrast, we show that computing the peak-oriented Houtman-Maks index is NP-hard. These results delineate the precise computational boundaries of peak-oriented revealed-preference analysis.

Suggested Citation

  • Taotao He & Runfa Hu, 2026. "A Polynomial-Time Test for Peak-Oriented Rationalizability," Papers 2609.30042, arXiv.org.
    • Handle: RePEc:arx:papers:2609.30042
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    File URL: https://arxiv.org/pdf/2609.30042
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