IDEAS home Printed from https://ideas.repec.org/p/ema/worpap/2023-06.html
   My bibliography  Save this paper

Best, worst, and Best&worst choice probabilities for logit and reverse logit models

Author

Listed:
  • André de Palma
  • Karim Kilani

    (Université de Cergy-Pontoise, THEMA)

Abstract

This paper builds upon the work of Professor Marley, who, since the beginning of his long research career, has proposed rigorous axiomatics in the area of probabilistic choice models. Our study concentrates on models that can be applied to best and worst choice scaling experiments. We focus on those among these models that are based on strong assumptions about the underlying ranking of the alternatives with which the individual is assumed to be endowed when making the choice. Taking advantage of an inclusion-exclusion identity that we showed a few years ago, we propose a variety of best-worst choice probability models that could be implemented in software packages that are flourishing in this field.

Suggested Citation

  • André de Palma & Karim Kilani, 2023. "Best, worst, and Best&worst choice probabilities for logit and reverse logit models," THEMA Working Papers 2023-06, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2023-06
    as

    Download full text from publisher

    File URL: https://thema.u-cergy.fr/IMG/pdf/2023-06.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Delle Site, Paolo & Kilani, Karim & Gatta, Valerio & Marcucci, Edoardo & de Palma, André, 2019. "Estimation of consistent Logit and Probit models using best, worst and best–worst choices," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 87-106.
    2. Anderson, Simon P. & de Palma, Andre, 1999. "Reverse discrete choice models," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 745-764, November.
    3. Hess, Stephane & Palma, David, 2019. "Apollo: A flexible, powerful and customisable freeware package for choice model estimation and application," Journal of choice modelling, Elsevier, vol. 32(C), pages 1-1.
    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. de Palma, André & Kilani, Karim, 2023. "Best, worst, and best&worst choice probabilities for logit and reverse logit models," Journal of choice modelling, Elsevier, vol. 49(C).
    2. André de Palma & Karim Kilani, 2022. "Best, worst, and Best&worst choice probabilities for logit and reverse logit models," Working Papers hal-03913928, HAL.
    3. André de Palma & Karim Kilani, 2023. "Best, worst, and best&worst choice probabilities for logit and reverse logit models," THEMA Working Papers 2023-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    4. Frings, Oliver & Abildtrup, Jens & Montagné-Huck, Claire & Gorel, Salomé & Stenger, Anne, 2023. "Do individual PES buyers care about additionality and free-riding? A choice experiment," Ecological Economics, Elsevier, vol. 213(C).
    5. de Palma, Andre & Proost, Stef, 2006. "Imperfect competition and congestion in the City," Journal of Urban Economics, Elsevier, vol. 60(2), pages 185-209, September.
    6. Chorus, Caspar & van Cranenburgh, Sander & Daniel, Aemiro Melkamu & Sandorf, Erlend Dancke & Sobhani, Anae & Szép, Teodóra, 2021. "Obfuscation maximization-based decision-making: Theory, methodology and first empirical evidence," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 28-44.
    7. Staudigel, Matthias & Oehlmann, Malte & Roosen, Jutta, 2024. "Demand effects of unilateral versus industry-wide sugar reduction scenarios," Food Policy, Elsevier, vol. 126(C).
    8. Cai, Yangqian & Moreno, Ana Tsui, 2024. "Identifying non-universal heterogeneity of preferences of leisure cyclists for rural highway environments: A latent-class model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 186(C).
    9. de Palma, Andre & Kilani, Karim, 2007. "Invariance of conditional maximum utility," Journal of Economic Theory, Elsevier, vol. 132(1), pages 137-146, January.
    10. Nikita Arora & Matthew Quaife & Kara Hanson & Mylene Lagarde & Dorka Woldesenbet & Abiy Seifu & Romain Crastes dit Sourd, 2022. "Discrete choice analysis of health worker job preferences in Ethiopia: Separating attribute non‐attendance from taste heterogeneity," Health Economics, John Wiley & Sons, Ltd., vol. 31(5), pages 806-819, May.
    11. Lan Anh Nguyen & Manh-Hung Nguyen & Viet-Ngu Hoang & Arnaud Reynaud & Michel Simioni & Clevo Wilson, 2024. "Tourists’ preferences and willingness to pay for protecting a World Heritage site from coastal erosion in Vietnam," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(11), pages 27607-27628, November.
    12. Lu, Hui & Hess, Stephane & Daly, Andrew & Rohr, Charlene & Patruni, Bhanu & Vuk, Goran, 2021. "Using state-of-the-art models in applied work: Travellers willingness to pay for a toll tunnel in Copenhagen," Transportation Research Part A: Policy and Practice, Elsevier, vol. 154(C), pages 37-52.
    13. Iogansen, Xiatian & Wang, Kailai & Bunch, David & Matson, Grant & Circella, Giovanni, 2023. "Deciphering the factors associated with adoption of alternative fuel vehicles in California: An investigation of latent attitudes, socio-demographics, and neighborhood effects," Transportation Research Part A: Policy and Practice, Elsevier, vol. 168(C).
    14. Broberg, Thomas & Daniel, Aemiro Melkamu & Persson, Lars, 2021. "Household preferences for load restrictions: Is there an effect of pro-environmental framing?," Energy Economics, Elsevier, vol. 97(C).
    15. Gómez-Limón, José A. & Granado-Díaz, Rubén, 2023. "Assessing the demand for hydrological drought insurance in irrigated agriculture," Agricultural Water Management, Elsevier, vol. 276(C).
    16. John Buckell & Vrinda Vasavada & Sarah Wordsworth & Dean A. Regier & Matthew Quaife, 2022. "Utility maximization versus regret minimization in health choice behavior: Evidence from four datasets," Health Economics, John Wiley & Sons, Ltd., vol. 31(2), pages 363-381, February.
    17. Peter Slade & Mila Markevych, 2024. "Killing the sacred dairy cow? Consumer preferences for plant‐based milk alternatives," Agribusiness, John Wiley & Sons, Ltd., vol. 40(1), pages 70-92, January.
    18. O'Dell, Dallas & Contu, Davide & Shreedhar, Ganga, 2025. "Public support for degrowth policies and sufficiency behaviours in the United States: a discrete choice experiment," LSE Research Online Documents on Economics 126084, London School of Economics and Political Science, LSE Library.
    19. Mattsson, Lars-Göran & Weibull, Jörgen W. & Lindberg, Per Olov, 2014. "Extreme values, invariance and choice probabilities," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 81-95.
    20. Ouvrard, Benjamin & Abildtrup, Jens & Stenger, Anne, 2020. "Nudging Acceptability for Wood Ash Recycling in Forests: A Choice Experiment," Ecological Economics, Elsevier, vol. 177(C).

    More about this item

    Keywords

    International Trade; Market Potential; Economic Geography; Regional Development; Core-Periphery.;
    All these keywords.

    JEL classification:

    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F15 - International Economics - - Trade - - - Economic Integration
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

    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:ema:worpap:2023-06. 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: Stefania Marcassa (email available below). General contact details of provider: https://edirc.repec.org/data/themafr.html .

    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.