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Coalition Stability in Dynamic Multicriteria Games

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11548))

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Abstract

We consider a dynamic, discrete-time, game model where the players use a common resource and have different criteria to optimize. The coalition formation process in dynamic multicriteria games is considered. The characteristic function is constructed in two unusual forms under the assumption of informed players: all players decide simultaneously or members of coalitions are assumed to be the leaders and players decide sequentially. Internal and external stability concepts are adopted for dynamic multicriteria games to obtain new stability conditions. To illustrate the presented approaches a multicriteria bioresource management problem with a finite horizon is investigated.

This work was supported by the Russian Science Foundation, project no. 17-11-01079.

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Authors and Affiliations

  1. Institute of Applied Mathematical Research Karelian Research Center of RAS, Pushkinskaya str. 11, 185910, Petrozavodsk, Russia

    Anna Rettieva

  2. Saint-Petersburg State University, Universitetskaya nab. 7–9, 199034, Saint-Petersburg, Russia

    Anna Rettieva

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  1. Anna Rettieva
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Correspondence to Anna Rettieva .

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Editors and Affiliations

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

    Michael Khachay

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Yury Kochetov

  3. University of Florida, Gainesville, FL, USA

    Panos Pardalos

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Rettieva, A. (2019). Coalition Stability in Dynamic Multicriteria Games. In: Khachay, M., Kochetov, Y., Pardalos, P. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Lecture Notes in Computer Science(), vol 11548. Springer, Cham. https://doi.org/10.1007/978-3-030-22629-9_49

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  • DOI: https://doi.org/10.1007/978-3-030-22629-9_49

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22628-2

  • Online ISBN: 978-3-030-22629-9

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