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Competition of large-scale projects: The game model of gas pipeline construction

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Abstract

Consideration is given to the problem of large-scale projects competition in the formulation motivated by real problems of defining the rational development of oil and gas transportation systems. The problem is formulated as a noncooperative game of n persons. Standard existence theorems and algorithms for computing the Nash equilibrium solutions are not applicable to it. For the case when all functional parameters of the problem are defined by exponential functions, a finite solution algorithm is proposed. Here is developed the approach proposed and studied in [1–5].

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References

  1. Klaassen, G., Kryazhimskii, A., Minullin, Yu., and Nikonov, O., On a Game of Gas Pipeline Projects Competition, Game Theory. Appl.: Proc. Int. Congr. Math. (ICM2002GTA), Qingdao: Qingdao Publ. House, 2002, pp. 327–334.

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  5. Brykalov, S.A., Melentsova, M.A., and Nikonov, O.I., Mathematical and Computer-aided Simulation of the Competition of Several Investors, Oblastnaya nauchno-prakticheskaya konferentsiya “Informatsionnomatematicheskie tekhnologii v ekonomike, tekhnike i obrazovanii” (Region. Training Conf. “Inf.-Math. Techn. in Econ., Eng., and Educ.”), Yekaterinburg: Ural. Gos. Tekhn. Univ., 2005.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    S. A. Brykalov & O. I. Nikonov

  2. Ural State Technical University, Yekaterinburg, Russia

    M. A. Melentsova

Authors
  1. S. A. Brykalov
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  2. M. A. Melentsova
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  3. O. I. Nikonov
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Additional information

Original Russian Text © S.A. Brykalov, M.A. Melentsova, O.I. Nikonov, 2007, published in Avtomatika i Telemekhanika, 2007, No. 10, pp. 16–27.

This work was supported by the Russian Foundation for Basic Research, projects nos. 06-01-00436, 05-01-08034-ofi-p, and 06-01-00483a and the the Russian Foundation for Humanities, project no. 05-02-02118a.

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Brykalov, S.A., Melentsova, M.A. & Nikonov, O.I. Competition of large-scale projects: The game model of gas pipeline construction. Autom Remote Control 68, 1745–1755 (2007). https://doi.org/10.1134/S0005117907100037

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  • DOI: https://doi.org/10.1134/S0005117907100037

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