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A Random Rule Model

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  • Avner Seror

Abstract

We model stochastic choice as environment-dependent switching among a small library of deterministic decision rules. A Random Rule Model generates menu-level choice probabilities via named, interpretable rules weighted by observable menu characteristics. Identification has a two-step structure: within-feature decisive-side variation identifies relative rule weights; cross-feature richness identifies the gate. Applied to binary lottery choices, the estimated weights concentrate on a small subset of rules and shift systematically with complexity and dispersion asymmetry. The model closes nearly all of the prediction gap to a flexible neural-network benchmark, while remaining interpretable, restrictive under permutation diagnostics, and portable to an independent dataset.

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  • Avner Seror, 2026. "A Random Rule Model," Papers 2603.04105, arXiv.org, revised Apr 2026.
  • Handle: RePEc:arx:papers:2603.04105
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    1. Drew Fudenberg & Jon Kleinberg & Annie Liang & Sendhil Mullainathan, 2022. "Measuring the Completeness of Economic Models," Journal of Political Economy, University of Chicago Press, vol. 130(4), pages 956-990.
    2. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    3. Benjamin Enke & Cassidy Shubatt, 2023. "Quantifying Lottery Choice Complexity," CESifo Working Paper Series 10644, CESifo.
    4. Victor H. Aguiar & Maria Jose Boccardi & Nail Kashaev & Jeongbin Kim, 2023. "Random utility and limited consideration," Quantitative Economics, Econometric Society, vol. 14(1), pages 71-116, January.
    5. Benjamin Enke & Cassidy Shubatt, 2023. "Quantifying Lottery Choice Complexity," NBER Working Papers 31677, National Bureau of Economic Research, Inc.
    6. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    7. Paola Manzini & Marco Mariotti, 2012. "Categorize Then Choose: Boundedly Rational Choice And Welfare," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 1141-1165, October.
    8. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    9. Drew Fudenberg & Indira Puri, 2022. "Simplicity and Probability Weighting in Choice under Risk," AEA Papers and Proceedings, American Economic Association, vol. 112, pages 421-425, May.
    10. Daniel L. McFadden, 2006. "Revealed stochastic preference: a synthesis," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 1-20, Springer.
    11. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    12. Marc Henry & Yuichi Kitamura & Bernard Salanié, 2014. "Partial identification of finite mixtures in econometric models," Quantitative Economics, Econometric Society, vol. 5, pages 123-144, March.
    13. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    14. Matias D. Cattaneo & Xinwei Ma & Yusufcan Masatlioglu & Elchin Suleymanov, 2020. "A Random Attention Model," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2796-2836.
    15. Avner Seror, 2026. "Decision Rules in Choice Under Risk," Papers 2601.02964, arXiv.org, revised Jan 2026.
    16. Yoram Halevy & Guy Mayraz, 2024. "Identifying Rule-Based Rationality," The Review of Economics and Statistics, MIT Press, vol. 106(5), pages 1369-1380, September.
    17. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    18. Peysakhovich, Alexander & Naecker, Jeffrey, 2017. "Using methods from machine learning to evaluate behavioral models of choice under risk and ambiguity," Journal of Economic Behavior & Organization, Elsevier, vol. 133(C), pages 373-384.
    19. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2012. "Salience Theory of Choice Under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1243-1285.
    20. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    21. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    22. Robert J. Aumann, 2008. "Rule-Rationality versus Act-Rationality," Discussion Paper Series dp497, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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