Owen-stable coalition partitions in games with vector payoffs

  • Василий Гусев Institute of Applied Mathematical Research Karelian Research Center of RAS
  • Vasily Gusev Institute of Applied Mathematical Research Karelian Research Center of RAS
  • Владимир Мазалов Institute of Applied Mathematical Research Karelian Research Center of RAS
  • Vladimir Mazalov Institute of Applied Mathematical Research Karelian Research Center of RAS
DOI: https://doi.org/10.17076/mgta3_6
Keywords: Owen value, coalition partition stability, multicriteria cooperative game

Abstract

The paper is devoted to the study of multicriteria cooperative games with vector payoffs and coalition partition. The imputation which is based on the concept of the Owen value is proposed. We use it for the definition of stable coalition partition for bicriteria games. In three person cooperative game with 0-1 characteristic function the conditions under which the coalition partition is stable are found.

Published
2019-01-28
How to Cite
Гусев, В., Gusev, V., Мазалов, В., & Mazalov, V. (2019). Owen-stable coalition partitions in games with vector payoffs. Mathematical Game Theory and Applications, 10(3), 3-23. https://doi.org/10.17076/mgta3_6
Issue
Vol 10 No 3 (2018): Mathematical Game Theory and Applications
Section
Статьи
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