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Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

Author

Listed:
  • Ekaterina Gromova

    (Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg 198504, Russia
    These authors contributed equally to this work.)

  • Anastasiya Malakhova

    (Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg 198504, Russia
    These authors contributed equally to this work.)

  • Arsen Palestini

    (MEMOTEF, Sapienza University of Rome, Piazzale Aldo Moro 5, 00185 Rome, Italy
    These authors contributed equally to this work.)

Abstract

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

Suggested Citation

  • Ekaterina Gromova & Anastasiya Malakhova & Arsen Palestini, 2018. "Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration," Mathematics, MDPI, vol. 6(9), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:165-:d:169004
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    References listed on IDEAS

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