Bilateral associated game: Gain and loss in revaluation.

Hamiache introduces associated game to revalue each coalition's worth, in which every coalition redefines his worth based on his own ability and the possible surpluses cooperating with other players. However, as every coin has two sides, revaluation may also bring some possible losses. In this...

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Autor principal:	Wenna Wang
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b77dd25d368443d79d7686e76f259ad9
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spelling	oai:doaj.org-article:b77dd25d368443d79d7686e76f259ad92021-12-02T20:15:36ZBilateral associated game: Gain and loss in revaluation.1932-620310.1371/journal.pone.0254218https://doaj.org/article/b77dd25d368443d79d7686e76f259ad92021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0254218https://doaj.org/toc/1932-6203Hamiache introduces associated game to revalue each coalition's worth, in which every coalition redefines his worth based on his own ability and the possible surpluses cooperating with other players. However, as every coin has two sides, revaluation may also bring some possible losses. In this paper, bilateral associated game will be presented by taking into account the possible surpluses and losses when revaluing the worth of a coalition. Based on different bilateral associated games, associated consistency is applied to characterize the equal allocation of non-separable costs value (EANS value) and the center-of-gravity of imputation-set value (CIS value). The Jordan normal form approach is the pivotal technique to accomplish the most important proof.Wenna WangPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 7, p e0254218 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Wenna Wang Bilateral associated game: Gain and loss in revaluation.
description	Hamiache introduces associated game to revalue each coalition's worth, in which every coalition redefines his worth based on his own ability and the possible surpluses cooperating with other players. However, as every coin has two sides, revaluation may also bring some possible losses. In this paper, bilateral associated game will be presented by taking into account the possible surpluses and losses when revaluing the worth of a coalition. Based on different bilateral associated games, associated consistency is applied to characterize the equal allocation of non-separable costs value (EANS value) and the center-of-gravity of imputation-set value (CIS value). The Jordan normal form approach is the pivotal technique to accomplish the most important proof.
format	article
author	Wenna Wang
author_facet	Wenna Wang
author_sort	Wenna Wang
title	Bilateral associated game: Gain and loss in revaluation.
title_short	Bilateral associated game: Gain and loss in revaluation.
title_full	Bilateral associated game: Gain and loss in revaluation.
title_fullStr	Bilateral associated game: Gain and loss in revaluation.
title_full_unstemmed	Bilateral associated game: Gain and loss in revaluation.
title_sort	bilateral associated game: gain and loss in revaluation.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/b77dd25d368443d79d7686e76f259ad9
work_keys_str_mv	AT wennawang bilateralassociatedgamegainandlossinrevaluation
_version_	1718374547031326720

Bilateral associated game: Gain and loss in revaluation.

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