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Fish Wars With Many Players

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  • VLADIMIR V. MAZALOV

    ()
    (Institute of Applied Mathematical Research, Karelian Research Center of Russian Academy of Science, Pushkinskaya str. 11, Petrozavodsk, 185910, Russia)

  • ANNA N. RETTIEVA

    ()
    (Institute of Applied Mathematical Research, Karelian Research Center of Russian Academy of Science, Pushkinskaya str. 11, Petrozavodsk, 185910, Russia)

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    Abstract

    Discrete-time game-theoretic models related to a bioresource management problem (fish catching) are investigated. There are some players (countries or fishing firms) which harvest the fish stock. Power population's growth function and logarithmic players' profits are considered.We derive the Nash and cooperative equilibria. We construct the characteristic function for cooperative game in two unusual forms and determine the Shapley value and time-consistent imputation distribution procedure [Petrosjan (1977)].We propose the condition which gives an incentive for the players to keep cooperation at each stage and compare it with the "irrational-behavior-profness" condition [Yeung (2006)].We propose the linear programming method to find the time-consistent "rational" solution in C-core. The numerical modelling and the results' comparison were carried out.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 12 (2010)
    Issue (Month): 04 ()
    Pages: 385-405

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    Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:04:p:385-405

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    Related research

    Keywords: Dynamic games; bioresource management problem; time-consistency; rational behavior condition; 91A50; 91A80; 49N70;

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