Jan Bok and Milan Hladík. Selection-based approach to cooperative interval games. In Dominique de Werra, Greg H. Parlier, and Begoña Vitoriano, editors, Operations Research and Enterprise Systems, Communications in Computer and Information Science, pp. 40–53, Springer, Switzerland, 2015.
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Cooperative interval games are a generalized model of cooperative games in which worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterizations and relations to existing classes based on the weakly better operator. We show new results regarding the core and imputations. Then we introduce the definition of strong imputation and strong core. We also examine a problem of equality of two different versions of core, which is the main stability solution of cooperative games.
@inCollection{BokHla2015b,
author = "Jan Bok and Milan Hlad\'{\i}k",
title = "Selection-based approach to cooperative interval games",
editor = "de Werra, Dominique and Parlier, Greg H. and Vitoriano, Bego{\~n}a",
booktitle = "Operations Research and Enterprise Systems",
publisher = "Springer",
address = "Switzerland",
series = "Communications in Computer and Information Science",
volume = "577",
pages = "40-53",
year = "2015",
doi = "10.1007/978-3-319-27680-9_3",
isbn = "978-3-319-27679-3",
bib2html_dl_pdf = "http://dx.doi.org/10.1007/978-3-319-27680-9_3",
abstract = "Cooperative interval games are a generalized model of cooperative games in which worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterizations and relations to existing classes based on the weakly better operator. We show new results regarding the core and imputations. Then we introduce the definition of strong imputation and strong core. We also examine a problem of equality of two different versions of core, which is the main stability solution of cooperative games.",
keywords = "Cooperative Game Theory; Interval Analysis; Core",
}
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