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Owen-Stable Coalition Partitions in Games with Vector Payoffs

  • MATHEMATICAL GAME THEORY AND APPLICATIONS
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Abstract

This paper is devoted to the study of multicriteria cooperative games with vector payoffs and coalition partition. An imputation based on the concept of the Owen value is proposed. The definition of a stable coalition partition for bi-criteria games is formulated. A three-player cooperative game with the 0-1 characteristic function is considered and stability conditions of a coalition partition are established.

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Funding

This work was supported by the Russian Foundation for Basic Research, projects nos. 16-01-00183a, 16-51-55006, and the “Double Hundred Talent Plan” of Shandong Province, project no. WST2017009.

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Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Petrozavodsk, 185910, Russia

    V. V. Gusev & V. V. Mazalov

  2. School of Mathematics and Statistics, Qingdao University and Institute of Applied Mathematics of Shandong, Qingdao, China

    V. V. Mazalov

Authors
  1. V. V. Gusev
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  2. V. V. Mazalov
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Corresponding authors

Correspondence to V. V. Gusev or V. V. Mazalov.

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Translated by V. Potapchouck

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Gusev, V.V., Mazalov, V.V. Owen-Stable Coalition Partitions in Games with Vector Payoffs. Autom Remote Control 82, 537–548 (2021). https://doi.org/10.1134/S0005117921030139

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  • DOI: https://doi.org/10.1134/S0005117921030139

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