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The strongly time consistent in a cooperative game with perfect information

  • Ke Ma*
  • , Wenwen Qiao
  • , Wenguo Zhu
  • , Zihan Gao
  • , Yin Li
  • *Corresponding author for this work
  • St. Petersburg State University
  • Yan'an University
  • School of Mathematics, Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Under the optimality principle in the multi-stage cooperative game , we have discussed the strong time consistency in cooperative games with perfect information. Strong time consistency requires that if players can obtain higher rewards at a future time point, they should take actions at the current time point to maintain time consistency and maximize their rewards. We have found that in certain specific cases, the general core of cooperative games belongs to its strong dynamic stable core. To this end, we proposed a theorem and used a proof by contradiction to theoretically demonstrate the strong time consistency in cooperative games with perfect information. This finding has a positive impact on the study of cooperative games with specific relations of benefits.

Original languageEnglish
Title of host publicationProceedings of the 35th Chinese Control and Decision Conference, CCDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3175-3177
Number of pages3
ISBN (Electronic)9798350334722
DOIs
StatePublished - 2023
Externally publishedYes
Event35th Chinese Control and Decision Conference, CCDC 2023 - Yichang, China
Duration: 20 May 202322 May 2023

Publication series

NameProceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

Conference

Conference35th Chinese Control and Decision Conference, CCDC 2023
Country/TerritoryChina
CityYichang
Period20/05/2322/05/23

Keywords

  • Imputation Distribution Proceduree
  • Shapley value
  • dynamic core
  • multistage game

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