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On the Strong Time Consistency of the Core

  • Mathematical Game Theory and Applications
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Abstract

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.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. A. Sedakov

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  1. A. A. Sedakov
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Correspondence to A. A. Sedakov.

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Original Russian Text © A.A. Sedakov, 2015, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, No. 2, pp. 69–84.

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Sedakov, A.A. On the Strong Time Consistency of the Core. Autom Remote Control 79, 757–767 (2018). https://doi.org/10.1134/S000511791804015X

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  • DOI: https://doi.org/10.1134/S000511791804015X

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