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A Global Asymmetric Duopoly Game of Relatively Scarce Resources

Author

Listed:
  • Behnaz Minooei Fard
  • Giovanni Di Bartolomeo
  • Willi Semmler

Abstract

This study analyzes the dynamics of the global rare earth element (REE) market, with a focus on China's dominant role as the primary supplier, which is crucial for the energy transition and digitalization. Using a game-theoretic approach, the research examines a potential duopoly market structure that may emerge over time, as well as potential shifts in supply from China to other countries in this scenario. It considers China’s low marginal costs and factors like resource extraction and discoveries. Additionally, the study examines the strategic market interactions, the role of technological advancements, and policy support in shaping market outcomes. The methodology incorporates the assumption that agents have limited foresight and use a learned value function to strategically assess outcomes based on their own and others' actions while accounting for environmental constraints.

Suggested Citation

  • Behnaz Minooei Fard & Giovanni Di Bartolomeo & Willi Semmler, 2025. "A Global Asymmetric Duopoly Game of Relatively Scarce Resources," Working Papers in Public Economics 260, Department of Economics and Law, Sapienza University of Roma.
  • Handle: RePEc:sap:wpaper:wp260
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    References listed on IDEAS

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    1. repec:bla:scandj:v:83:y:1981:i:2:p:318-33 is not listed on IDEAS
    2. Groot, Fons & Withagen, Cees & de Zeeuw, Aart, 2000. "Open-loop von Stackelberg equilibrium in the cartel-vs.-fringe model," Energy Economics, Elsevier, vol. 22(2), pages 209-223, April.
    3. Enrico Saltari & Willi Semmler & Giovanni Di Bartolomeo, 2022. "A Nash Equilibrium for Differential Games with Moving-Horizon Strategies," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 1041-1054, October.
    4. Partha Dasgupta & Richard J. Gilbert & Joseph E. Stiglitz, 1982. "Invention and Innovation Under Alternative Market Structures: The Case of Natural Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 567-582.
    5. Groot, Fons & Withagen, Cees & de Zeeuw, Aart, 2003. "Strong time-consistency in the cartel-versus-fringe model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 287-306, November.
    6. Stephen W. Salant, 1982. "Imperfect Competition in the International Energy Market: A Computerized Nash-Cournot Model," Operations Research, INFORMS, vol. 30(2), pages 252-280, April.
    7. Gilbert, Richard J. & Goldman, Steven M., 1978. "Potential competition and the monopoly price of an exhaustible resource," Journal of Economic Theory, Elsevier, vol. 17(2), pages 319-331, April.
    8. Michael Woodford, 2019. "Monetary Policy Analysis When Planning Horizons Are Finite," NBER Macroeconomics Annual, University of Chicago Press, vol. 33(1), pages 1-50.
    9. Han, Aiping & Ge, Jianping & Lei, Yalin, 2015. "An adjustment in regulation policies and its effects on market supply: Game analysis for China’s rare earths," Resources Policy, Elsevier, vol. 46(P2), pages 30-42.
    10. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    11. Salant, Stephen W, 1976. "Exhaustible Resources and Industrial Structure: A Nash-Cournot Approach to the World Oil Market," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 1079-1093, October.
    12. Henckens, M.L.C.M. & van Ierland, E.C. & Driessen, P.P.J. & Worrell, E., 2016. "Mineral resources: Geological scarcity, market price trends, and future generations," Resources Policy, Elsevier, vol. 49(C), pages 102-111.
    13. Stiglitz, Joseph E. & Dasgupta, Partha, 1982. "Market structure and resource depletion: A contribution to the theory of intertemporal monopolistic competition," Journal of Economic Theory, Elsevier, vol. 28(1), pages 128-164, October.
    14. Grüne, Lars & Semmler, Willi & Stieler, Marleen, 2015. "Using nonlinear model predictive control for dynamic decision problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 112-133.
    15. Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
    16. Giovanni Di Bartolomeo & Marco Di Pietro & Enrico Saltari & Willi Semmler, 2018. "Public debt stabilization: the relevance of policymakers’ time horizons," Public Choice, Springer, vol. 177(3), pages 287-299, December.
    17. Massari, Stefania & Ruberti, Marcello, 2013. "Rare earth elements as critical raw materials: Focus on international markets and future strategies," Resources Policy, Elsevier, vol. 38(1), pages 36-43.
    18. Watkins, G.C., 2006. "Oil scarcity: What have the past three decades revealed?," Energy Policy, Elsevier, vol. 34(5), pages 508-514, March.
    19. Pindyck, Robert S, 1978. "Gains to Producers from the Cartelization of Exhaustible Resources," The Review of Economics and Statistics, MIT Press, vol. 60(2), pages 238-251, May.
    20. Alfred Greiner & Willi Semmler & Tobias Mette, 2012. "An Economic Model of Oil Exploration and Extraction," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 387-399, December.
    21. Packey, Daniel J. & Kingsnorth, Dudley, 2016. "The impact of unregulated ionic clay rare earth mining in China," Resources Policy, Elsevier, vol. 48(C), pages 112-116.
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    More about this item

    Keywords

    Rare earth elements; Game theory; Duopoly; Known reserves dynamics; Policy support; Relative scarcity; NMPC; Reinforcement learning;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation

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