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Multicriteria Dynamic Games with Asymmetric Horizons

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Mathematical Optimization Theory and Operations Research (MOTOR 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13367))

Abstract

We consider a dynamic, discrete-time, game model where many players use a common resource and have different criteria to optimize. Moreover, the participants planning horizons are assumed to be different. Multicriteria Nash and cooperative equilibria are defined via modified bargaining schemas. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players and asymmetric planning horizons is investigated.

This research was supported by the Russian Science Foundation grant No. 22-11-00051, https://rscf.ru/en/project/22-11-00051/.

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Authors and Affiliations

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

    Anna Rettieva

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

    Anna Rettieva

Authors
  1. Anna Rettieva
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Correspondence to Anna Rettieva .

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Editors and Affiliations

  1. University of Florida, Gainesville, FL, USA

    Panos Pardalos

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

    Michael Khachay

  3. Karelia Research Centre RAS, Institute of Applied Mathematical Research, Petrozavodsk, Karelian Republic, Russia

    Vladimir Mazalov

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Rettieva, A. (2022). Multicriteria Dynamic Games with Asymmetric Horizons. In: Pardalos, P., Khachay, M., Mazalov, V. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2022. Lecture Notes in Computer Science, vol 13367. Springer, Cham. https://doi.org/10.1007/978-3-031-09607-5_19

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  • DOI: https://doi.org/10.1007/978-3-031-09607-5_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-09606-8

  • Online ISBN: 978-3-031-09607-5

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