@inbook{c6bcbbe4c7464e14af766d038fe04b36,
title = "Cooperation Enforcing in Multistage Multicriteria Game: New Algorithm and Its Implementation",
abstract = "To enforce the long-term cooperation in a multistage multicriteria game we use the imputation distribution procedure (IDP) based approach. We mainly focus on such useful properties of the IDP like “reward immediately after the move” assumption, time consistency inequality, efficiency and non-negativity constraint. To overcome the problem of negative payments along the optimal cooperative trajectory the novel refined A-incremental IDP is designed. We establish the properties of the proposed A-incremental payment schedule and provide an illustrative example to clarify how the algorithm works.",
keywords = "Cooperative solution, Dynamic game, Imputation distribution procedure, Multicriteria game, Multistage game, Shapley value, Time consistency",
author = "Denis Kuzyutin and Ivan Lipko and Yaroslavna Pankratova and Igor Tantlevskij",
note = "Funding Information: Acknowledgments We would like to thank the anonymous Reviewer for the valuable comments. The research of the first and the third author was funded by RFBR under the research project 18-00-00727 (18-00-00725). The research of the fourth author was funded by RFBR under the research project 18-00-00727 (18-00-00628).",
year = "2020",
doi = "10.1007/978-3-030-51941-4_10",
language = "English",
isbn = "978-3-030-51940-7",
series = "Static and Dynamic Game Theory: Foundations and Applications",
publisher = "Birkh{\"a}user Verlag AG",
pages = "141--159 ",
editor = "Petrosyan, {Leon A. } and Mazalov, {Vladimir V. } and Zenkevich, {Nikolay A. }",
booktitle = "Frontiers of Dynamic Games",
address = "Switzerland",
}