IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2504.03056.html
   My bibliography  Save this paper

Separable choices

Author

Listed:
  • Davide Carpentiere
  • Alfio Giarlotta
  • Angelo Petralia
  • Ester Sudano

Abstract

We introduce the novel setting of joint choices, in which options are vectors with components associated to different dimensions. In this framework, menus are multidimensional, being vectors whose components are one-dimensional menus, that is, nonempty subsets of elements associated to each dimension. We provide a natural notion of separability, requiring that selections from some dimensions are never affected by those performed on the remaining dimensions. Stability of separability across dimensions is throughly investigated. Moreover, we analyze rationalizable joint choices, which are those explained by the maximization of a revealed preference. The interplay between rationalizability e separability of joint choices allows to show that latter extends the classical definition of separability of discrete preference relations, and to assess the consistency of the former across dimensions.

Suggested Citation

  • Davide Carpentiere & Alfio Giarlotta & Angelo Petralia & Ester Sudano, 2025. "Separable choices," Papers 2504.03056, arXiv.org, revised Apr 2025.
    • Handle: RePEc:arx:papers:2504.03056
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2504.03056
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Steffen Anderson & Glenn Harrison & Morten Lau & Rutstrom Elisabet, 2007. "Valuation using multiple price list formats," Applied Economics, Taylor & Francis Journals, vol. 39(6), pages 675-682.
    2. Bradley, W. James & Hodge, Jonathan K. & Kilgour, D. Marc, 2005. "Separable discrete preferences," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 335-353, May.
    3. Steffen Andersen & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    4. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    5. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    6. Blavatskyy, Pavlo R., 2017. "Probabilistic intertemporal choice," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 142-148.
    7. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October.
    8. Nail Kashaev & Martin Pl'avala & Victor H. Aguiar, 2024. "Entangled vs. Separable Choice," Papers 2403.09045, arXiv.org, revised Jul 2024.
    9. de Haan, Jan & van der Grient, Heymerik A., 2011. "Eliminating chain drift in price indexes based on scanner data," Journal of Econometrics, Elsevier, vol. 161(1), pages 36-46, March.
    10. Nail Kashaev, Martin Plavala and Victor H. Aguiar, 2024. "Entangled vs. Separable Choice," Discussion Papers dp24-03, Department of Economics, Simon Fraser University.
    11. Aliprantis, Charalambos D., 1997. "Separable utility functions," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 415-444, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. , & ,, 2012. "Strategy-proof voting for multiple public goods," Theoretical Economics, Econometric Society, vol. 7(3), September.
    2. Sarah Jacobson & Ragan Petrie, 2009. "Learning from mistakes: What do inconsistent choices over risk tell us?," Journal of Risk and Uncertainty, Springer, vol. 38(2), pages 143-158, April.
    3. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
    4. repec:spo:wpmain:info:hdl:2441/4ccevsvsdm96qpv5fgamlf1p1p is not listed on IDEAS
    5. John A. Weymark, 2008. "Strategy‐Proofness and the Tops‐Only Property," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 7-26, February.
    6. Lars-Gunnar Svensson & Pär Torstensson, 2008. "Strategy-proof allocation of multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 181-196, February.
    7. Andreas C. Drichoutis & Panagiotis Lazaridis & Rodolfo M. Nayga, 2009. "Would consumers value food-away-from-home products with nutritional labels?," Agribusiness, John Wiley & Sons, Ltd., vol. 25(4), pages 550-575.
    8. Antoni Bosch-Domènech & Joaquim Silvestre, 2013. "Measuring risk aversion with lists: a new bias," Theory and Decision, Springer, vol. 75(4), pages 465-496, October.
    9. Chatterji, Shurojit & Zeng, Huaxia, 2018. "On random social choice functions with the tops-only property," Games and Economic Behavior, Elsevier, vol. 109(C), pages 413-435.
    10. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    11. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    12. Duquette, Eric & Higgins, Nathaniel & Horowitz, John, 2013. "Time Preference and Technology Adoption: A Single-Choice Experiment with U.S. Farmers," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150719, Agricultural and Applied Economics Association.
    13. Daniele Asioli & Adriana Mignani & Frode Alfnes, 2021. "Quick and easy? Respondent evaluations of the Becker–DeGroot–Marschak and multiple price list valuation mechanisms," Agribusiness, John Wiley & Sons, Ltd., vol. 37(2), pages 215-234, April.
    14. Barbera, S. & Masso, J. & Serizawa, S., 1998. "Strategy-Proof Voting on Compact Ranges," Games and Economic Behavior, Elsevier, vol. 25(2), pages 272-291, November.
    15. d'Amato, Alessio & Goeschl, Timo & Lorè, Luisa & Zoli, Mariangela, 2020. "Date Marks, Valuation, and Food Waste: Three In-Store ‘Eggsperiments’," Working Papers 0693, University of Heidelberg, Department of Economics.
    16. Elena Castellari & Elena Claire Ricci & Stefanella Stranieri & Stephan S. Marette & Martina Sarnataro & Claudio Soregaroli, 2019. "Relationships Between Health and Environmental Information on the Willingness to Pay for Functional Foods: The Case of a New Aloe Vera Based Product [Impact de l’information sur la santé et l'envir," Post-Print hal-02627431, HAL.
    17. Stergios Athanasoglou & Somouaoga Bonkoungou & Lars Ehlers, 2023. "Strategy-proof preference aggregation and the anonymity-neutrality tradeoff," Working Papers 519, University of Milano-Bicocca, Department of Economics, revised Apr 2025.
    18. Krawczyk, Michal & Le Lec, Fabrice, 2021. "How to elicit distributional preferences: A stress-test of the equality equivalence test," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 13-28.
    19. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 2005. "Voting by committees under constraints," Journal of Economic Theory, Elsevier, vol. 122(2), pages 185-205, June.
    20. repec:spo:wpecon:info:hdl:2441/4ccevsvsdm96qpv5fgamlf1p1p is not listed on IDEAS
    21. Lagarde, Mylene & Papanicolas, Irene & Stacey, Nicholas, 2024. "The demand for private telehealth services in low- and middle-income countries: Evidence from South Africa," Social Science & Medicine, Elsevier, vol. 354(C).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2504.03056. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.