In the chapter, we introduce and examine a finite-horizon bicriteria oligopoly game with pollution control, which takes into account both the economic objective of each player and the players’ concern of cleaner environment at each stage of the game. Noncooperative (viz., subgame-perfect Pareto equilibrium) and cooperative solutions are derived in explicit form for two-person game with symmetric players using the dynamic programming method. Some properties of these solutions are established. We provide a numerical example to demonstrate the theoretical results and to compare single-criterion and bicriteria model as well as noncooperative and cooperative solutions. It turns out that a cooperative regime is better for the environment (i.e., implies lower level of the pollution stock) than a competitive behavior both in the bicriteria model and its single-criterion counterpart. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
Original languageEnglish
Title of host publicationFrontiers of Dynamic Games (GTA 2022)
PublisherSpringer Nature
Pages93-107
Number of pages15
DOIs
StatePublished - 2024
EventThe International Conference “Game Theory and Applications” - Санкт-Петербург, Russian Federation
Duration: 28 Jun 20221 Jul 2022
https://gta2022.spbu.ru/en/

Publication series

NameTrends in Mathematics
VolumePart F3521
ISSN (Print)2297-0215

Conference

ConferenceThe International Conference “Game Theory and Applications”
Abbreviated titleGTA 2022
Country/TerritoryRussian Federation
CityСанкт-Петербург
Period28/06/221/07/22
Internet address

ID: 127215242