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Maximizing tax revenue for profit maximizing monopolist with the Cobb-Douglas production function and linear demand as a bilevel programming problem

Author

Listed:
  • Zrinka Lukač

    (Faculty of Economics and Business, University of Zagreb)

  • Krunoslav Puljić

    (Faculty of Economics and Business, University of Zagreb)

  • Vedran Kojić

    (Faculty of Economics and Business, University of Zagreb)

Abstract

Optimal taxation and profit maximization are two very important problems, naturally related to one another since companies striving operates given tax system. However, in the literature these two problems are usually considered separately, either by studying optimal taxation or by studying profit maximization. This paper tries links the two problems together by formulating a bilevel model in which government acts as a leader and profit maximizing follower act as a follower. The exact form of the tax revenue function as well as optimal tax amount and optimal input levels are derived in cases when returns of scale take on values 0.5, 1 and 2. Several numerical examples and accompanying illustrations are given.

Suggested Citation

  • Zrinka Lukač & Krunoslav Puljić & Vedran Kojić, 2024. "Maximizing tax revenue for profit maximizing monopolist with the Cobb-Douglas production function and linear demand as a bilevel programming problem," EFZG Working Papers Series 2401, Faculty of Economics and Business, University of Zagreb.
    • Handle: RePEc:zag:wpaper:2401
    as

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    References listed on IDEAS

    as
    1. Zrinka Lukač, 2023. "Optimal taxation of a perfectly competitive firm with Cobb–Douglas production function as a bilevel programming problem," 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 891-909, September.
    2. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    optimal taxation; government; profit maximization; monopolist; Cobb-Douglas production function; linear demand; bilevel programming;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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