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Automation and Remote Control

, Volume 79, Issue 10, pp 1912–1928 | Cite as

Strong Time-Consistent Subset of the Core in Cooperative Differential Games with Finite Time Horizon

  • O. L. Petrosian
  • E. V. Gromova
  • S. V. Pogozhev
Mathematical Game Theory and Applications
  • 13 Downloads

Abstract

Time consistency is one of the most important properties of solutions in cooperative differential games. This paper uses the core as a cooperative solution of the game. We design a strong time-consistent subset of the core. The design method of this subset is based on a special class of imputation distribution procedures (IDPs).

Keywords

cooperative differential games time consistency strong time consistency imputation distribution procedure core 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • O. L. Petrosian
    • 1
  • E. V. Gromova
    • 1
  • S. V. Pogozhev
    • 1
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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