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A note on Pareto-optimal taxation mechanism in noncooperative strategic bilateral exchange

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  • Julien, Ludovic A.
  • Yebarth, Gagnie P.

Abstract

This paper investigates the taxation mechanism implemented in strategic bilateral exchange by Gabszewicz and Grazzini (1999). These authors show that endowment taxation with transfers can implement a Pareto-optimal allocation when the preferences of traders are represented by some specific homothetic utility functions. We show that this taxation mechanism can also implement a Pareto-optimal allocation when the preferences of traders are represented by non homothetic utility functions. To this end, we consider a class of quasi-linear utility functions. Furthermore, we illustrate that, with quasi-linear utility functions, by introducing heterogeneity between traders, there are other environments in which this taxation mechanism implements a Pareto-optimal outcome.

Suggested Citation

  • Julien, Ludovic A. & Yebarth, Gagnie P., 2026. "A note on Pareto-optimal taxation mechanism in noncooperative strategic bilateral exchange," Mathematical Social Sciences, Elsevier, vol. 139(C).
  • Handle: RePEc:eee:matsoc:v:139:y:2026:i:c:s0165489625001076
    DOI: 10.1016/j.mathsocsci.2025.102492
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June.
    4. repec:bla:jpbect:v:1:y:1999:i:4:p:475-97 is not listed on IDEAS
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    10. 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.
    11. Bruno Biais & Hans Gersbach & Jean Charles Rochet & Ernst-Ludwig von Thadden & Stéphane Villeneuve, 2023. "Money and Taxes Implement Dynamic Optimal Mechanisms," Working Papers hal-04414219, HAL.
    12. 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.
    13. Kopczuk, Wojciech, 2003. "A note on optimal taxation in the presence of externalities," Economics Letters, Elsevier, vol. 80(1), pages 81-86, July.
    14. 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.
    15. Myles, Gareth D., 1989. "Ramsey tax rules for economies with imperfect competition," Journal of Public Economics, Elsevier, vol. 38(1), pages 95-115, February.
    16. Guesnerie, Roger & Laffont, Jean-Jacques, 1978. "Taxing price makers," Journal of Economic Theory, Elsevier, vol. 19(2), pages 423-455, December.
    17. Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990. "A strategic market game with complete markets," Journal of Economic Theory, Elsevier, vol. 51(1), pages 126-143, June.
    18. GABSZEWICZ, Jean & MICHEL, Philippe, 1992. "Oligopoly equilibria in exchange economies," LIDAM Discussion Papers CORE 1992047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    20. 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).
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    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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