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Optimal tax policy for single homogeneous commodity on n markets with export costs as a Stackelberg game

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  • Zrinka Lukač

    (University of Zagreb)

Abstract

Taxation is one of the most powerful instruments of fiscal policy, affecting economic growth and investments, as well as competitiveness of companies. Therefore, designing the optimal tax policy is of crucial importance for any government. This study formulates the problem of determining optimal tax policy for single homogeneous commodity produced by n competing companies located in n different countries with export costs as a Stackelberg game with multiple followers. Companies produce the commodity in their country of origin and sell it on all n markets. Countries have different tax systems. If a company is selling the product in a foreign country, it has to pay export costs consisting of transportation costs and duty costs. Government of country i is the leader and makes the tax amount decision with the objective of maximizing its tax revenue. Companies are the followers. They make decisions about production and export quantities in order to maximize their profit functions. The study derives the optimal tax policy, i.e. the optimal tax amount and the optimal value of tax revenue function as well as companies’ optimal production and export quantities. It discusses the properties of the tax revenue function and analyzes the effect of unit increase of taxes on optimal production and export quantities as well as on companies’ revenue and profit functions. Finally, the study shows how the tax burden is divided between producers and consumers.

Suggested Citation

  • Zrinka Lukač, 2023. "Optimal tax policy for single homogeneous commodity on n markets with export costs as a Stackelberg game," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 873-890, September.
    • Handle: RePEc:spr:cejnor:v:31:y:2023:i:3:d:10.1007_s10100-022-00822-4
    DOI: 10.1007/s10100-022-00822-4
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    1. Michael Hoy & John Livernois & Chris McKenna & Ray Rees & Thanasis Stengos, 2011. "Mathematics for Economics," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262015072, December.
    2. Johannes Becker & Clemens Fuest, 2011. "Optimal tax policy when firms are internationally mobile," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(5), pages 580-604, October.
    3. Jonathan Eaton & Gene M. Grossman, 1986. "Optimal Trade and Industrial Policy Under Oligopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(2), pages 383-406.
    4. Philipp J. H. Schröder, 2004. "The Comparison between Ad Valorem and Unit Taxes under Monopolistic Competition," Journal of Economics, Springer, vol. 83(3), pages 281-292, December.
    5. Kanbur, Ravi & Keen, Michael, 1993. "Jeux Sans Frontieres: Tax Competition and Tax Coordination When Countries Differ in Size," American Economic Review, American Economic Association, vol. 83(4), pages 877-892, September.
    6. Hong Hwang & Chao‐Cheng Mai & Ya‐Po Yang, 2008. "Optimal Trade Policy under Homogeneous Bertrand Competition," Review of International Economics, Wiley Blackwell, vol. 16(5), pages 1005-1009, November.
    7. Henrik Vetter, 2013. "Consumption taxes in monopolistic competition: a comment," Journal of Economics, Springer, vol. 110(3), pages 287-295, November.
    8. You-Qiang Wang, 1999. "Commodity Taxes under Fiscal Competition: Stackelberg Equilibrium and Optimality," American Economic Review, American Economic Association, vol. 89(4), pages 974-981, September.
    9. Gahvari, Firouz, 1989. "The nature of government expenditures and the shape of the laffer curve," Journal of Public Economics, Elsevier, vol. 40(2), pages 251-260, November.
    10. 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.
    11. Douglas A. Hibbs & Violeta Piculescu, 2010. "Tax Toleration and Tax Compliance: How Government Affects the Propensity of Firms to Enter the Unofficial Economy," American Journal of Political Science, John Wiley & Sons, vol. 54(1), pages 18-33, January.
    12. Brander, James A. & Spencer, Barbara J., 1985. "Export subsidies and international market share rivalry," Journal of International Economics, Elsevier, vol. 18(1-2), pages 83-100, February.
    13. Todorova, Tamara & Vatoci, Besar, 2020. "Taxation and strategic reaction: A comparison of Cournot, Stackelberg and collusion," MPRA Paper 106487, University Library of Munich, Germany.
    14. Stern, Nicholas, 1987. "The effects of taxation, price control and government contracts in oligopoly and monopolistic competition," Journal of Public Economics, Elsevier, vol. 32(2), pages 133-158, March.
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    Cited by:

    1. Zrinka Lukač & Krunoslav Puljić & Vedran Kojić, 2025. "Maximizing Tax Revenue for Profit-Maximizing Monopolist with the CES Production Function and Linear Demand as a Stackelberg Game Problem," Mathematics, MDPI, vol. 13(5), pages 1-19, February.

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