Automation and Remote Control

, Volume 79, Issue 4, pp 757–767 | Cite as

On the Strong Time Consistency of the Core

  • A. A. SedakovEmail author
Mathematical Game Theory and Applications


Time consistency is one of desirable properties for any solution of a cooperative dynamic game. If a solution is time-consistent, the players do not need to break a cooperative agreement. In this paper, we consider the core as the solution and establish conditions for its strong time consistency. When the core is not strongly time-consistent, we show that in some cases its elements can be yielded using a strongly time-consistent imputation distribution procedure. An explicit form of the procedure is given.


dynamic games cooperation core strong time consistency 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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