IDEAS home Printed from https://ideas.repec.org/a/spr/inecre/v58y2023i1d10.1007_s41775-023-00189-6.html
   My bibliography  Save this article

Ad valorem tax versus tax per unit of output in a Bertrand competition with strictly increasing marginal cost

Author

Listed:
  • Amarjyoti Mahanta

    (Indian Institute of Technology Guwahati)

Abstract

In this paper, we show that the set of pure strategy Nash equilibrium is not equivalent in case of tax per unit of output and ad valorem tax when the firms are producing a homogeneous product with strictly convex and increasing cost function under Bertrand competition. In case of ad valorem tax, the pure strategy Nash equilibrium price range expands, whereas it remains same in case of tax per unit of output. We also find that under certain conditions, the social welfare in case of ad valorem tax is lower than tax per unit of output.

Suggested Citation

  • Amarjyoti Mahanta, 2023. "Ad valorem tax versus tax per unit of output in a Bertrand competition with strictly increasing marginal cost," Indian Economic Review, Springer, vol. 58(1), pages 105-117, June.
  • Handle: RePEc:spr:inecre:v:58:y:2023:i:1:d:10.1007_s41775-023-00189-6
    DOI: 10.1007/s41775-023-00189-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s41775-023-00189-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s41775-023-00189-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Delipalla, Sofia & Keen, Michael, 1992. "The comparison between ad valorem and specific taxation under imperfect competition," Journal of Public Economics, Elsevier, vol. 49(3), pages 351-367, December.
    2. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    3. Martin Peitz & Markus Reisinger, 2014. "Indirect Taxation in Vertical Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 62(4), pages 709-755, December.
    4. Hamilton, Stephen F., 1999. "Tax incidence under oligopoly: a comparison of policy approaches," Journal of Public Economics, Elsevier, vol. 71(2), pages 233-245, February.
    5. Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
    6. Anderson, Simon P. & de Palma, Andre & Kreider, Brent, 2001. "Tax incidence in differentiated product oligopoly," Journal of Public Economics, Elsevier, vol. 81(2), pages 173-192, August.
    7. Harvey E. Lapan & David A. Hennessy, 2011. "Unit versus Ad Valorem Taxes in Multiproduct Cournot Oligopoly," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(1), pages 125-138, February.
    8. Kuang-Cheng Andy Wang & Ping-Yao Chou & Wen-Jung Liang, 2018. "Specific versus ad valorem taxes in the presence of cost and quality differences," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(5), pages 1197-1214, October.
    9. X. Wang & Jingang Zhao, 2009. "On the efficiency of indirect taxes in differentiated oligopolies with asymmetric costs," Journal of Economics, Springer, vol. 96(3), pages 223-239, April.
    10. Vincenzo Denicolo & Massimo Matteuzzi, 2000. "Specific and Ad Valorem Taxation in Asymmetric Cournot Oligopolies," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(3), pages 335-342, May.
    11. Gareth Myles, 1996. "Imperfect competition and the optimal combination of ad valorem and specific taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 3(1), pages 29-44, January.
    12. D. B. Suits & R. A. Musgrave, 1953. "Ad Valorem and Unit Taxes Compared," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 67(4), pages 598-604.
    13. Skeath, Susan E. & Trandel, Gregory A., 1994. "A Pareto comparison of ad valorem and unit taxes in noncompetitive environments," Journal of Public Economics, Elsevier, vol. 53(1), pages 53-71, January.
    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. Neelanjan Sen & Rajit Biswas, 2017. "Indirect Taxes in Oligopoly in Presence of Licensing Opportunities," Journal of Industry, Competition and Trade, Springer, vol. 17(1), pages 61-82, March.
    2. Kojun Hamada & Takao Ohkawa & Makoto Okamura, 2022. "Optimal taxation in a free‐entry Cournot oligopoly: The average cost function approach," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(2), pages 1166-1192, May.
    3. Qidi Zhang & Leonard F.S. Wang & Yapo Yang, 2020. "Indirect taxation with shadow cost of public funds in mixed oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(3), pages 415-425, April.
    4. Henrik Vetter, 2016. "Tax Reform in Monopolistic Competition with Increasing Preferences for Variety," Public Finance Review, , vol. 44(2), pages 245-262, March.
    5. Hiroshi Aiura & Hikaru Ogawa, 2019. "Indirect taxes in a cross-border shopping model: a monopolistic competition approach," Journal of Economics, Springer, vol. 128(2), pages 147-175, October.
    6. Xingtang Wang & Leonard F. S. Wang, 2022. "Indirect taxation, quality choice, and social welfare," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1764-1772, September.
    7. Clément Carbonnier, 2011. "Shifting on prices of per unit and ad valorem consumption taxes, estimation on prices of alcoholic beverages in France," THEMA Working Papers 2011-20, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. Anderson, Simon P. & de Palma, Andre & Kreider, Brent, 2001. "The efficiency of indirect taxes under imperfect competition," Journal of Public Economics, Elsevier, vol. 81(2), pages 231-251, August.
    9. Adachi, Takanori & Fabinger, Michal, 2022. "Pass-through, welfare, and incidence under imperfect competition," Journal of Public Economics, Elsevier, vol. 211(C).
    10. Kuang-Cheng Andy Wang & Ping-Yao Chou & Wen-Jung Liang, 2018. "Specific versus ad valorem taxes in the presence of cost and quality differences," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(5), pages 1197-1214, October.
    11. Valido, Jorge & Pilar Socorro, M. & Hernández, Aday & Betancor, Ofelia, 2014. "Air transport subsidies for resident passengers when carriers have market power," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 388-399.
    12. Aiura, Hiroshi & Ogawa, Hikaru, 2013. "Unit tax versus ad valorem tax: A tax competition model with cross-border shopping," Journal of Public Economics, Elsevier, vol. 105(C), pages 30-38.
    13. Rajit Biswas & Vandana Thandassery Ramakrishnan, 2022. "Taxes and unemployment," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(2), pages 182-194, June.
    14. Ellalee, Haider & Alali, Walid Y., 2022. "A Welfare and Pass-Through Effects of Regulations within Imperfect Competition," MPRA Paper 116512, University Library of Munich, Germany.
    15. de Rus, Ginés & Socorro, M. Pilar, 2022. "Subsidies in air transport markets: The economic consequences of choosing the wrong mechanism," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    16. Takanori Adachi & Michal Fabinger, 2017. "Multi-Dimensional Pass-Through, Incidence, and the Welfare Burden of Taxation in Oligopoly," CIRJE F-Series CIRJE-F-1040, CIRJE, Faculty of Economics, University of Tokyo.
    17. Laszlo Goerke, 2011. "Commodity tax structure under uncertainty in a perfectly competitive market," Journal of Economics, Springer, vol. 103(3), pages 203-219, July.
    18. Stamatopoulos, Giorgos, 2019. "A strategic tax mechanism," MPRA Paper 93602, University Library of Munich, Germany.
    19. X. Wang & Jingang Zhao, 2009. "On the efficiency of indirect taxes in differentiated oligopolies with asymmetric costs," Journal of Economics, Springer, vol. 96(3), pages 223-239, April.
    20. GRAZZINI, Lisa, 2000. "Ad valorem and per unit taxation in an oligopoly model," LIDAM Discussion Papers CORE 2000054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    More about this item

    Keywords

    Bertrand competition; Tax per unit of output; Ad valorem tax; Nash equilibrium;
    All these keywords.

    JEL classification:

    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:spr:inecre:v:58:y:2023:i:1:d:10.1007_s41775-023-00189-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.