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The Invariant Proportion of Substitution Property (IPS) of Discrete-Choice Models

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  • Thomas J. Steenburgh

    (Harvard Business School, Boston, Massachusetts 02163)

Abstract

This article introduces a newly discovered property of discrete-choice models, which I call the invariant proportion of substitution (IPS). Like the independence from irrelevant alternatives (IIA) property, IPS implies individual behavior that is counterintuitive in the context of choice among similar alternatives. But models that alleviate the concerns raised by IIA, such as generalized extreme value and covariance probit models, do not necessarily alleviate the concerns raised by IPS. I explore the implications of the IPS property on individual behavior in several choice contexts and discuss some models that alleviate the concerns raised by IPS.

Suggested Citation

  • Thomas J. Steenburgh, 2008. "The Invariant Proportion of Substitution Property (IPS) of Discrete-Choice Models," Marketing Science, INFORMS, vol. 27(2), pages 300-307, 03-04.
    • Handle: RePEc:inm:ormksc:v:27:y:2008:i:2:p:300-307
    DOI: 10.1287/mksc.1070.0301
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    References listed on IDEAS

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    Cited by:

    1. Wiktor Adamowicz & David Bunch & Trudy Cameron & Benedict Dellaert & Michael Hanneman & Michael Keane & Jordan Louviere & Robert Meyer & Thomas Steenburgh & Joffre Swait, 2008. "Behavioral frontiers in choice modeling," Marketing Letters, Springer, vol. 19(3), pages 215-228, December.
    2. Peter Davis & Pasquale Schiraldi, 2014. "The flexible coefficient multinomial logit (FC-MNL) model of demand for differentiated products," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 32-63, March.
    3. Marije Schaafsma & Roy Brouwer, 2020. "Substitution Effects in Spatial Discrete Choice Experiments," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 75(2), pages 323-349, February.
    4. Xie, Yi, 2016. "The Impact of Nutrient Demand and Marketing Instruments on Intra-Category Substitution," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 236051, Agricultural and Applied Economics Association.
    5. Thomas J. Steenburgh & Andrew Ainslie, 2008. "Taste Heterogeneity, IIA, and the Similarity Critique," Harvard Business School Working Papers 09-049, Harvard Business School.
    6. Qiang Liu & Thomas J. Steenburgh & Sachin Gupta, 2015. "The Cross Attributes Flexible Substitution Logit: Uncovering Category Expansion and Share Impacts of Marketing Instruments," Marketing Science, INFORMS, vol. 34(1), pages 144-159, January.

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