To the individual stability of Pareto equilibrium of objections and counterobjections in a coalition differential positional 3-person game without side payments

  • Владислав Иосифович Жуковский Moscow State University
  • Vladislav Zhukovskiy Moscow State University
  • Константин Николаевич Кудрявцев South Ural State University
  • Konstantin Kudryavtsev South Ural State University
  • Лидия Владиславна Жуковская Central Economics and Mathematics Institute RAS
  • Lydia Zhukovskaya Central Economics and Mathematics Institute RAS
  • Ирина Станиславовна Стабулит South Ural State University
  • Irina Stabulit South Federal University
Keywords: equilibrium of objections and counter objections, coalition games, individual stability, differential games

Abstract

The notion <<individual stability>> of Pareto equilibrium of objections and counter objections in one differential linear-quadratic 3-person game without side payments is used. The explicit form corresponding equilibrium is found.

Published
2021-03-25
How to Cite
Жуковский, В., Zhukovskiy, V., Кудрявцев, К., Kudryavtsev, K., Жуковская, Л., Zhukovskaya, L., Стабулит, И., & Stabulit, I. (2021). To the individual stability of Pareto equilibrium of objections and counterobjections in a coalition differential positional 3-person game without side payments. Mathematical Game Theory and Applications, 13(1), 89-101. https://doi.org/10.17076/mgta_2021_1_32