IDEAS home Printed from https://ideas.repec.org/p/drm/wpaper/2024-19.html
   My bibliography  Save this paper

Pareto-Optimal Taxation Mechanism in Noncooperative Strategic Bilateral Exchange

Author

Listed:
  • Ludovic A. Julien
  • Gagnie Pascal Yebarth

Abstract

This paper explores the possibility that a taxation mechanism always implements a Pareto-optimal allocation in bilateral exchange when the market participants behave strategically and noncooperatively. To this end, we reconsider the taxation mechanism, namely the endowment taxation with transfers, implemented in the strategic bilateral exchange models by Gabszewicz and Grazzini (JPET, 1999). In this framework of strategic bilateral exchange, we consider a general class of smooth utility functions, and we determine the conditions under which the taxation mechanism is Pareto-optimal, i.e., whether there exists an equilibrium tax such that endowment taxation with transfers always implements a Pareto-optimal allocation. Furthermore, we explain why this taxation mechanism could implement a Pareto-optimal allocation.

Suggested Citation

  • Ludovic A. Julien & Gagnie Pascal Yebarth, 2024. "Pareto-Optimal Taxation Mechanism in Noncooperative Strategic Bilateral Exchange," EconomiX Working Papers 2024-19, University of Paris Nanterre, EconomiX.
  • Handle: RePEc:drm:wpaper:2024-19
    as

    Download full text from publisher

    File URL: https://economix.fr/pdf/dt/2024/WP_EcoX_2024-19.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June.
    2. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    3. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Ludovic Julien & Simone Tonin, 2020. "Existence and optimality of Cournot–Nash equilibria in a bilateral oligopoly with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 933-951, December.
    4. Jean J. Gabszewicz & Lisa Grazzini, 1999. "Taxing Market Power," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 475-497, October.
    5. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    6. Cyrinus B. Elegbede & Ludovic A. Julien & Louis Mesnard, 2022. "On preferences and taxation mechanisms in strategic bilateral exchange," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 43-73, March.
    7. Javier Coto-Martínez & Carlos Garriga & Fernando Sánchez-Losada, 2007. "Optimal Taxation with Imperfect Competition and Aggregate Returns to Specialization," Journal of the European Economic Association, MIT Press, vol. 5(6), pages 1269-1299, December.
    8. Keith Head & Barbara J. Spencer, 2017. "Oligopoly in international trade: Rise, fall and resurgence," Canadian Journal of Economics, Canadian Economics Association, vol. 50(5), pages 1414-1444, December.
    9. Donald Bruce & Langchuan Peng, 2018. "Optimal taxation in the presence of income-dependent relative income effects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 313-335, August.
    10. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
    11. David R. Collie, 2019. "Taxation under oligopoly in a general equilibrium setting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(4), pages 738-753, August.
    12. Bloch, Francis & Ferrer, Helene, 2001. "Trade Fragmentation and Coordination in Strategic Market Games," Journal of Economic Theory, Elsevier, vol. 101(1), pages 301-316, November.
    13. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
    14. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    15. Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    16. GABSZEWICZ, Jean & GRAZZINI, Lisa, 2000. "Strategic multilateral exchange and taxes," LIDAM Discussion Papers CORE 2000063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Ludovic A. Julien & Anicet Kabre & Louis de Mesnard, 2022. "Pollution in strategic multilateral exchange: taxing emissions or trading on permit markets?," Post-Print hal-03791673, HAL.
    18. repec:bla:jpbect:v:1:y:1999:i:4:p:475-97 is not listed on IDEAS
    19. Nkuiya, Bruno & Plantinga, Andrew J., 2021. "Strategic pollution control under free trade," Resource and Energy Economics, Elsevier, vol. 64(C).
    20. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    21. Myles, Gareth D., 1989. "Ramsey tax rules for economies with imperfect competition," Journal of Public Economics, Elsevier, vol. 38(1), pages 95-115, February.
    22. Tuomala, Matti, 2016. "Optimal Redistributive Taxation," OUP Catalogue, Oxford University Press, number 9780198753414.
    23. Konishi, Hideki & Okuno-Fujiwara, Masahiro & Suzumura, Kotaro, 1990. "Oligopolistic competition and economic welfare : A general equilibrium analysis of entry regulation and tax-subsidy schemes," Journal of Public Economics, Elsevier, vol. 42(1), pages 67-88, June.
    24. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    25. Kopczuk, Wojciech, 2003. "A note on optimal taxation in the presence of externalities," Economics Letters, Elsevier, vol. 80(1), pages 81-86, July.
    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. Cyrinus B. Elegbede & Ludovic A. Julien & Louis Mesnard, 2022. "On preferences and taxation mechanisms in strategic bilateral exchange," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 43-73, March.
    2. Busetto, Francesca & Codognato, Giulio & Julien, Ludovic, 2020. "Atomic Leontievian Cournotian traders are always Walrasian," Games and Economic Behavior, Elsevier, vol. 122(C), pages 318-327.
    3. Ludovic A. Julien, 2024. "Noncooperative oligopoly equilibrium in markets with hierarchical competition," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 325-371, June.
    4. Ludovic A. Julien, 2017. "Hierarchical Competition and Heterogeneous Behavior in Noncooperative Oligopoly Markets," Post-Print hal-01637298, HAL.
    5. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Ludovic Julien & Simone Tonin, 2020. "Existence and optimality of Cournot–Nash equilibria in a bilateral oligopoly with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 933-951, December.
    6. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    7. Ludovic A. Julien & Anicet Kabre & Louis de Mesnard, 2022. "Pollution in strategic multilateral exchange: taxing emissions or trading on permit markets?," Post-Print hal-03791673, HAL.
    8. M. Lombardi & S. Tonin, 2020. "On trade in bilateral oligopolies with altruistic and spiteful agents," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 203-218, October.
    9. Alex Dickson, 2013. "The Effects of Entry in Bilateral Oligopoly," Games, MDPI, vol. 4(3), pages 1-21, June.
    10. A. Dickson & R. Hartley, 2005. "The strategic Marshallian cross and bilateral oligopoly," Economics Discussion Paper Series 0523, Economics, The University of Manchester.
    11. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan & Julien, Ludovic & Tonin, Simone, 2018. "Noncooperative oligopoly in markets with a continuum of traders and a strongly connected set of commodities," Games and Economic Behavior, Elsevier, vol. 108(C), pages 478-485.
    12. Codognato, Giulio & Ghosal, Sayantan & Tonin, Simone, 2015. "Atomic Cournotian traders may be Walrasian," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 1-14.
    13. Yukihiko Funaki & Harold Houba & Evgenia Motchenkova, 2020. "Market power in bilateral oligopoly markets with non-expandable infrastructures," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 525-546, June.
    14. Jean J. Gabszewicz & Lisa Grazzini, 1999. "Taxing Market Power," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 475-497, October.
    15. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    16. Anicet Kabre, 2018. "Cobb-Douglas preferences and pollution in a bilateral oligopoly market," EconomiX Working Papers 2018-48, University of Paris Nanterre, EconomiX.
    17. Anicet Kabre, 2018. "Cobb-Douglas preferences and pollution in a bilateral oligopoly market," Working Papers hal-04141683, HAL.
    18. Alex Dickson, 2017. "Multiple-aggregate games," Working Papers 1701, University of Strathclyde Business School, Department of Economics.
    19. Toraubally, Waseem A., 2018. "Large market games, the law of one price, and market structure," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 13-26.
    20. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.

    More about this item

    Keywords

    Cournot-Nash equilibrium; Pareto-optimality; taxation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

    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:drm:wpaper:2024-19. 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: Valerie Mignon (email available below). General contact details of provider: https://edirc.repec.org/data/modemfr.html .

    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.