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“Entanglement†and the Exploitation of Common Pool Resources: A Quantum Solution to the Prisoner’s Dilemma

Author

Listed:
  • Robert Mamada

    (College of Humanities and Social Sciences, Grand Canyon University, Phoenix, AZ 85017, USA)

  • Charles Perrings

    (School of Life Sciences, Arizona State University, Tempe, AZ 85281, USA)

Abstract

The overexploitation of common pool resources is frequently associated with open access regimes in which each resource user operates independently of all other resource users. The outcome is a Nash equilibrium of the prisoner’s dilemma. Restricted access regimes of the sort identified by Ostrom and colleagues typically ensure that individual resource users do not operate independently. Taking a quantum approach to the theory of games, we argue that the institutional arrangements involved in common pool resource management imply the “entanglement†of the strategies of resource users. For a very simple case — two firms exploiting a common pool fishery — we show that there exists an “entanglement†mechanism that assures the cooperative outcome.

Suggested Citation

  • Robert Mamada & Charles Perrings, 2022. "“Entanglement†and the Exploitation of Common Pool Resources: A Quantum Solution to the Prisoner’s Dilemma," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-17, March.
  • Handle: RePEc:wsi:igtrxx:v:24:y:2022:i:01:n:s0219198921500092
    DOI: 10.1142/S0219198921500092
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    Cited by:

    1. Foreman, R. Dean & Kleit, Andrew N., 2023. "Is prorationing efficiency-enhancing or rent-seeking?: Evidence from a natural experiment," Resources Policy, Elsevier, vol. 80(C).

    More about this item

    Keywords

    Common pool resources; prisoners dilemma; quantum games; entanglement; dynamic cournot competition;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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