The paper studies a linear-quadratic pollution control model for which a term named value of cooperation (VC) subordinated to value of information (VI) is introduced. Namely, the quantification of possible benefit or loss occurring under the circumstance where the players choose to play the game in a cooperative way or refuse to act as a coalition is being presented. In the paper, the construction of VC consists of the Shapley value involving four various types of characteristic functions which steer the performance of normalized value of cooperation (NVC) toward quite similar direction and an elaborate analysis related to the actual scenario is ensuing. Both of characteristics (VC and NVC) are new in the field of game theory and can be further applied to a wide class of problems. Theoretical results are demonstrated with a numerical example on the basis of pollution data contributed by three local enterprises in Penza (City of Russia).

Original languageEnglish
Title of host publicationMathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings
EditorsPanos Pardalos, Michael Khachay, Vladimir Mazalov
PublisherSpringer Nature
Pages221-234
Number of pages14
ISBN (Print)9783031096068
DOIs
StatePublished - 2022
Event21st International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2022 - Petrozavodsk, Russian Federation
Duration: 2 Jul 20226 Jul 2022
http://motor2022.krc.karelia.ru/en/section/1

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13367 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference21st International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2022
Abbreviated titleMOTOR 2022
Country/TerritoryRussian Federation
CityPetrozavodsk
Period2/07/226/07/22
Internet address

    Research areas

  • Differential game, Pollution control, Value of cooperation, Value of information

    Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

ID: 98356928