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Dynamic Shapley value for dynamic network games with perishable goods

  • Yin Li*
  • , Hongwei Gao
  • *Corresponding author for this work
  • St. Petersburg State University
  • Qingdao University

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

Abstract

This paper investigates a two-stage network game in which each stage exists given a minimum spanning tree game containing perishable goods. By the defined cooperative behavior, the players act at each stage to construct the cost matrix of the network and obtain the corresponding minimum spanning tree based on the obtained network. At the end of the first stage of the game, a particular player is affected due to the actions of all players and thus leaves the game in the second stage with a certain probability. The total cost of the whole game is considered to be equal to the sum of the costs of the two stages. After defining the characteristic functions of the game, dynamic Shapley values are constructed and their time-consistency is investigated.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control and Decision Conference, CCDC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5421-5426
Number of pages6
ISBN (Electronic)9781665478960
DOIs
StatePublished - 2022
Externally publishedYes
Event34th Chinese Control and Decision Conference, CCDC 2022 - Hefei, China
Duration: 15 Aug 202217 Aug 2022

Publication series

NameProceedings of the 34th Chinese Control and Decision Conference, CCDC 2022

Conference

Conference34th Chinese Control and Decision Conference, CCDC 2022
Country/TerritoryChina
CityHefei
Period15/08/2217/08/22

Keywords

  • dynamic games
  • minimum cost spanning tree game
  • stochastic games

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