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Incentive equilibrium in bioresource sharing problem

  • Systems Analysis and Operations Research
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Abstract

A dynamic game model of bioresource management problem is considered. The center (referee) which shares a reservoir, and the players (countries) which harvest the fish stock on their territory are the participants of this game. In this paper we investigate the new type of equilibrium—cooperative incentive equilibrium. The equilibria are constructed in the case, when the players punish each other for a deviation from the cooperative equilibrium, and in the case, when the center punishes them for a deviation. Some results of the numerical modelling are given.

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References

  1. V. V. Mazalov and A. N. Rettieva, “A Fishery Game Model with Migration: Reserved Territory Approach,” Game Theory and Appl. 10, 97–108 (2004).

    Google Scholar 

  2. V. V. Mazalov and A. N. Rettieva, “Dynamic Games Method for Reserved Territory Optimization, a Survey,” Prikl. i Prom. Mat. 12(3), 610–625 (2005).

    MATH  Google Scholar 

  3. V. V. Mazalov and A. N. Rettieva, “Nash Equilibrium in the Bioresource Management Problem,” Mat. Model. 18(5), 73–90 (2006).

    MATH  MathSciNet  Google Scholar 

  4. V. V. Mazalov and A. N. Rettieva, “Incentive Equilibrium in the Discrete-Time Bioresource Sharing Problem,” Dokl. Akad. Nauk 423(3), 320–322 (2008) [Dokl. @@, ()].

    MATH  MathSciNet  Google Scholar 

  5. H. Ehtamo and R. P. Hamalainen, “A Cooperative Incentive Equilibrium for a Resource Management Problem,” J. Econ. Dynam. and Contr 17, 659–678 (1993).

    Article  MATH  MathSciNet  Google Scholar 

  6. D. K. Osborn, “Cartel Problems,” American Economic Review 66, 835–844 (1976).

    Google Scholar 

  7. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, et al., Mathematical Theory of Optimal Processes (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  8. T. Basar and G. J. Olsder, Dynamic Noncooperative Game Theory (Academic, New York, 1982).

    MATH  Google Scholar 

  9. C. W. Clark, Handbook of Computational Chemistry (Wiley, New York, 1985; Mir, Moscow, 1990).

    Google Scholar 

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Original Russian Text © V.V. Mazalov, A.N. Rettieva, 2010, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2010, No. 4, pp. 91–99.

The article was translated by the authors.

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Mazalov, V.V., Rettieva, A.N. Incentive equilibrium in bioresource sharing problem. J. Comput. Syst. Sci. Int. 49, 598–606 (2010). https://doi.org/10.1134/S1064230710040106

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  • DOI: https://doi.org/10.1134/S1064230710040106

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