IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2407.12774.html
   My bibliography  Save this paper

Market Definition: A Sensitivity Analysis

Author

Listed:
  • Paul S. Koh

Abstract

Market definition holds significant importance in antitrust cases, yet achieving consensus on the correct approach remains elusive. As a result, analysts routinely entertain multiple market definitions to ensure the resilience of their conclusions. I propose a simple framework for conducting organized sensitivity analysis with respect to market definition. I model candidate market definitions as partially ordered and use a Hasse diagram, a directed acyclic graph representing a finite partial order, to summarize the sensitivity analysis. I use the Shapley value and the Shapley-Shubik power index to quantify the average marginal contribution of each firm in driving the conclusion. I illustrate the method's usefulness with an application to the Albertsons/Safeway (2015) merger.

Suggested Citation

  • Paul S. Koh, 2024. "Market Definition: A Sensitivity Analysis," Papers 2407.12774, arXiv.org.
  • Handle: RePEc:arx:papers:2407.12774
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2407.12774
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    2. Paul S. Koh, 2022. "Stable Outcomes and Information in Games: An Empirical Framework," Papers 2205.04990, arXiv.org, revised May 2023.
    3. Aviv Nevo, 2000. "Mergers with Differentiated Products: The Case of the Ready-to-Eat Cereal Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 395-421, Autumn.
    4. Peter Davis & Eliana Garcés, 2009. "Quantitative Techniques for Competition and Antitrust Analysis," Economics Books, Princeton University Press, edition 1, number 9078.
    5. Louis Kaplow, 2015. "Market Definition, Market Power," NBER Working Papers 21167, National Bureau of Economic Research, Inc.
    6. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    7. Farrell Joseph & Shapiro Carl, 2010. "Antitrust Evaluation of Horizontal Mergers: An Economic Alternative to Market Definition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-41, March.
    8. Christopher Conlon & Julie Holland Mortimer, 2021. "Empirical properties of diversion ratios," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 693-726, December.
    9. Werden, G.J., 1992. "The History of Antitrust Market Delineation," Papers 92-8, U.S. Department of Justice - Antitrust Division.
    10. Werden, Gregory J, 1996. "A Robust Test for Consumer Welfare Enhancing Mergers among Sellers of Differentiated Products," Journal of Industrial Economics, Wiley Blackwell, vol. 44(4), pages 409-413, December.
    11. Leamer, Edward E, 1985. "Sensitivity Analyses Would Help," American Economic Review, American Economic Association, vol. 75(3), pages 308-313, June.
    12. Volker Nocke & Michael D. Whinston, 2022. "Concentration Thresholds for Horizontal Mergers," American Economic Review, American Economic Association, vol. 112(6), pages 1915-1948, June.
    13. Nathan H. Miller & Gloria Sheu, 2021. "Quantitative Methods for Evaluating the Unilateral Effects of Mergers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(1), pages 143-177, February.
    14. Kaplow, Louis, 2021. "Horizontal merger analysis," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    15. Louis Kaplow, 2011. "Market Definition and the Merger Guidelines," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 39(1), pages 107-125, August.
    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. Mansley, Ryan & Miller, Nathan H. & Sheu, Gloria & Weinberg, Matthew C., 2023. "A price leadership model for merger analysis," International Journal of Industrial Organization, Elsevier, vol. 89(C).
    2. Louis Kaplow, 2024. "The 2023 Merger Guidelines and Market Definition: Doubling Down or Folding?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 65(1), pages 7-37, August.
    3. Paul S. Koh, 2024. "Merger Analysis with Latent Price," Papers 2404.07684, arXiv.org, revised Jul 2024.
    4. Nathan H. Miller & Gloria Sheu, 2021. "Quantitative Methods for Evaluating the Unilateral Effects of Mergers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(1), pages 143-177, February.
    5. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    6. Christopher Conlon & Julie Holland Mortimer, 2021. "Empirical properties of diversion ratios," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 693-726, December.
    7. Steven T. Berry & Philip A. Haile, 2024. "Nonparametric Identification of Differentiated Products Demand Using Micro Data," Econometrica, Econometric Society, vol. 92(4), pages 1135-1162, July.
    8. Oliver Budzinski & Annika Stöhr, 2019. "Competition policy reform in Europe and Germany – institutional change in the light of digitization," European Competition Journal, Taylor & Francis Journals, vol. 15(1), pages 15-54, January.
    9. Hamilton, Stephen F. & Bontems, Philippe & Lepore, Jason, 2015. "Oligopoly intermediation, relative rivalry and market conduct," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 49-59.
    10. Jéssica Dutra & Tarun Sabarwal, 2020. "Antitrust analysis with upward pricing pressure and cost efficiencies," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-31, January.
    11. Tommaso Valletti & Hans Zenger, 2021. "Mergers with Differentiated Products: Where Do We Stand?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(1), pages 179-212, February.
    12. Nathan H. Miller & Marc Remer & Conor Ryan & Gloria Sheu, 2016. "Pass-Through and the Prediction of Merger Price Effects," Journal of Industrial Economics, Wiley Blackwell, vol. 64(4), pages 683-709, December.
    13. Philip G. Gayle & Ying Lin, 2022. "Market effects of new product introduction: Evidence from the brew‐at‐home coffee market," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(3), pages 525-557, August.
    14. Paul S. Koh, 2024. "Concentration-Based Inference for Evaluating Horizontal Mergers," Papers 2407.12924, arXiv.org, revised Jul 2024.
    15. Jessica Dutra & Tarun Sabarwal, 2018. "Cost Efficiencies and Upward Pricing Pressure," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201901, University of Kansas, Department of Economics.
    16. Budzinski, Oliver & Gänßle, Sophia & Stöhr, Annika, 2020. "The draft for the 10th amendment of German competition law: Towards a new concept of "Outstanding relevance across markets"?," Ilmenau Economics Discussion Papers 142, Ilmenau University of Technology, Institute of Economics.
    17. Budzinski, Oliver & Lindstädt-Dreusicke, Nadine, 2018. "The new media economics of video-on-demand markets: Lessons for competition policy," Ilmenau Economics Discussion Papers 116, Ilmenau University of Technology, Institute of Economics.
    18. Budzinski, Oliver & Lindstädt-Dreusicke, Nadine, 2019. "The new media economics of video-on-demand markets: Lessons for competition policy (updated version)," Ilmenau Economics Discussion Papers 125, Ilmenau University of Technology, Institute of Economics.
    19. Valentiny, Pál, 2019. "Közgazdaságtan a jogalkalmazásban [Forensic economics]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 134-162.
    20. Friberg, Richard & Romahn, André, 2015. "Divestiture requirements as a tool for competition policy: A case from the Swedish beer market," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 1-18.

    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:2407.12774. 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.