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A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players

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Mathematical Optimization Theory and Operations Research (MOTOR 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13367))

Abstract

We derive a non-cooperative and cooperative strategies and state trajectories for a finite-horizon multistage game of renewable resource extraction with asymmetric players. Assuming transferable utility we extend the subgame perfect core concept introduced for extensive-form games to the class of n-person multistage games and specify an algorithm for choosing a unique payoff distribution procedure from the core in a two-player game. This quasi proportional payment schedule satisfies several good properties and could be applied to implement a cooperative solution based on the maximization of the relative benefit from cooperation (or the value of cooperation). We provide a numerical example to demonstrate the properties of the obtained solutions and the algorithm implementation.

The reported study was funded by RFBR and DFG, project number 21-51-12007.

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Author information

Authors and Affiliations

  1. Saint Petersburg State University, Universitetskaya nab. 7/9, 199034, St. Petersburg, Russia

    Denis Kuzyutin & Yulia Skorodumova

  2. HSE University, Soyuza Pechatnikov ul., 16, 190008, St. Petersburg, Russia

    Denis Kuzyutin & Nadezhda Smirnova

Authors
  1. Denis Kuzyutin
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  2. Yulia Skorodumova
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  3. Nadezhda Smirnova
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Corresponding author

Correspondence to Nadezhda Smirnova .

Editor information

Editors and Affiliations

  1. University of Florida, Gainesville, FL, USA

    Panos Pardalos

  2. Krasovsky Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Michael Khachay

  3. Karelia Research Centre RAS, Institute of Applied Mathematical Research, Petrozavodsk, Karelian Republic, Russia

    Vladimir Mazalov

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Kuzyutin, D., Skorodumova, Y., Smirnova, N. (2022). A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players. In: Pardalos, P., Khachay, M., Mazalov, V. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2022. Lecture Notes in Computer Science, vol 13367. Springer, Cham. https://doi.org/10.1007/978-3-031-09607-5_17

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  • DOI: https://doi.org/10.1007/978-3-031-09607-5_17

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