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Demand Analysis under Price Rigidity and Endogenous Assortment: An Application to China's Tobacco Industry

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  • Hui Liu
  • Yao Luo

Abstract

We observe nominal price rigidity in tobacco markets across China. The monopolistic seller responds by adjusting product assortments, which remain unobserved by the analyst. We develop and estimate a logit demand model that incorporates assortment discrimination and nominal price rigidity. We find that consumers are significantly more responsive to price changes than conventional models predict. Simulated tax increases reveal that neglecting the role of endogenous assortments results in underestimations of the decline in higher-tier product sales, incorrect directional predictions of lower-tier product sales, and overestimation of tax revenue by more than 50%. Finally, we extend our methodology to settings with competition and random coefficient models.

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  • Hui Liu & Yao Luo, 2025. "Demand Analysis under Price Rigidity and Endogenous Assortment: An Application to China's Tobacco Industry," Papers 2501.17251, arXiv.org.
    • Handle: RePEc:arx:papers:2501.17251
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    1. Jean‐Pierre Dubé & Jeremy T. Fox & Che‐Lin Su, 2012. "Improving the Numerical Performance of Static and Dynamic Aggregate Discrete Choice Random Coefficients Demand Estimation," Econometrica, Econometric Society, vol. 80(5), pages 2231-2267, September.
    2. Victor H. Aguiar & Nail Kashaev, 2019. "Identification and Estimation of Discrete Choice Models with Unobserved Choice Sets," Papers 1907.04853, arXiv.org, revised Jun 2021.
    3. Pierre Dubois & Morten Sæthre, 2020. "On the Effect of Parallel Trade on Manufacturers' and Retailers' Profits in the Pharmaceutical Sector," Econometrica, Econometric Society, vol. 88(6), pages 2503-2545, November.
    4. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    5. Ravi Anupindi & Maqbool Dada & Sachin Gupta, 1998. "Estimation of Consumer Demand with Stock-Out Based Substitution: An Application to Vending Machine Products," Marketing Science, INFORMS, vol. 17(4), pages 406-423.
    6. Brian Adams & Kevin R. Williams, 2019. "Zone Pricing in Retail Oligopoly," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 124-156, February.
    7. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    8. Aguirregabiria, Victor & Iaria, Alessandro & Sokullu, Senay, 2023. "Identification and Estimation of Demand Models with Endogenous Product Entry and Exit," CEPR Discussion Papers 18398, C.E.P.R. Discussion Papers.
    9. Dubois, Pierre & Lasio, Laura, 2014. "Identifying Industry Margins with Unobserved Price Constraints: Structural Estimation on Pharmaceuticals," IDEI Working Papers 823, Institut d'Économie Industrielle (IDEI), Toulouse.
    10. Kfir Eliaz & Ran Spiegler, 2011. "Consideration Sets and Competitive Marketing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 235-262.
    11. Stefano DellaVigna & Matthew Gentzkow, 2019. "Uniform Pricing in U.S. Retail Chains," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(4), pages 2011-2084.
    12. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    13. Lu, Zhentong, 2022. "Estimating multinomial choice models with unobserved choice sets," Journal of Econometrics, Elsevier, vol. 226(2), pages 368-398.
    14. Yao Luo & Isabelle Perrigne & Quang Vuong, 2018. "Structural Analysis of Nonlinear Pricing," Journal of Political Economy, University of Chicago Press, vol. 126(6), pages 2523-2568.
    15. Xavier D’Haultfœuille & Isis Durrmeyer & Philippe Février, 2019. "Automobile Prices in Market Equilibrium with Unobserved Price Discrimination," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 1973-1998.
    16. Michaela Draganska & Michael Mazzeo & Katja Seim, 2009. "Beyond plain vanilla: Modeling joint product assortment and pricing decisions," Quantitative Marketing and Economics (QME), Springer, vol. 7(2), pages 105-146, June.
    17. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    18. BISHOP, John A. & Liu, Haiyong & Meng, Qi, 2007. "Are Chinese smokers sensitive to price?," China Economic Review, Elsevier, vol. 18(2), pages 113-121.
    19. Toshiaki Iizuka, 2012. "Physician Agency and Adoption of Generic Pharmaceuticals," American Economic Review, American Economic Association, vol. 102(6), pages 2826-2858, October.
    20. Yao Luo, 2023. "Bundling and nonlinear pricing in telecommunications," RAND Journal of Economics, RAND Corporation, vol. 54(2), pages 268-298, June.
    21. James Levinsohn & Steven Berry & Ariel Pakes, 1999. "Voluntary Export Restraints on Automobiles: Evaluating a Trade Policy," American Economic Review, American Economic Association, vol. 89(3), pages 400-430, June.
    22. Christopher T. Conlon & Julie Holland Mortimer, 2013. "Demand Estimation under Incomplete Product Availability," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 1-30, November.
    23. Lance, Peter M. & Akin, John S. & Dow, William H. & Loh, Chung-Ping, 2004. "Is cigarette smoking in poorer nations highly sensitive to price?: Evidence from Russia and China," Journal of Health Economics, Elsevier, vol. 23(1), pages 173-189, January.
    24. Junji Xiao & Xiaolan Zhou & Wei‐Min Hu, 2017. "Welfare Analysis Of The Vehicle Quota System In China," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 617-650, May.
    25. Hong Liu & John A. Rizzo & Qi Sun & Fang Wu, 2015. "How Do Smokers Respond to Cigarette Taxes? Evidence from China's Cigarette Industry," Health Economics, John Wiley & Sons, Ltd., vol. 24(10), pages 1314-1330, October.
    26. Kalyan Talluri & Garrett van Ryzin, 2004. "Revenue Management Under a General Discrete Choice Model of Consumer Behavior," Management Science, INFORMS, vol. 50(1), pages 15-33, January.
    27. Crawford, Gregory S. & Griffith, Rachel & Iaria, Alessandro, 2021. "A survey of preference estimation with unobserved choice set heterogeneity," Journal of Econometrics, Elsevier, vol. 222(1), pages 4-43.
    28. Junji Xiao & Xiaolan Zhou & Wei‐Min Hu, 2017. "Welfare Analysis Of The Vehicle Quota System In China," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 617-650, May.
    29. Günter J. Hitsch & Ali Hortaçsu & Xiliang Lin, 2019. "Prices and Promotions in U.S. Retail Markets: Evidence from Big Data," NBER Working Papers 26306, National Bureau of Economic Research, Inc.
    30. Pierre Dubois & Laura Lasio, 2018. "Identifying Industry Margins with Price Constraints: Structural Estimation on Pharmaceuticals," American Economic Review, American Economic Association, vol. 108(12), pages 3685-3724, December.
    31. Andrés Musalem & Marcelo Olivares & Eric T. Bradlow & Christian Terwiesch & Daniel Corsten, 2010. "Structural Estimation of the Effect of Out-of-Stocks," Management Science, INFORMS, vol. 56(7), pages 1180-1197, July.
    32. Gaurab Aryal & Federico Zincenko, 2014. "Identification and Estimation of Multidimensional Screening," Papers 1411.6250, arXiv.org, revised Oct 2024.
    33. Tenn, Steven & Yun, John M., 2008. "Biases in demand analysis due to variation in retail distribution," International Journal of Industrial Organization, Elsevier, vol. 26(4), pages 984-997, July.
    34. Nail Kashaev & Natalia Lazzati & Ruli Xiao, 2023. "Peer Effects in Consideration and Preferences," Papers 2310.12272, arXiv.org, revised Jan 2024.
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