A Characterization of Farsightedly Stable Networks

We study the stability of social and economic networks when players are farsighted. We first provide an algorithm that characterizes the unique pairwise and groupwise farsightedly stable set of networks under the componentwise egalitarian allocation rule. We then show that this set coincides with th...

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Bibliographic Details
Main Authors:	Gilles Grandjean, Ana Mauleon, Vincent Vannetelbosch
Format:	Article
Language:	English
Published:	MDPI AG 2010-07-01
Series:	Games
Subjects:	farsighted players pairwise deviations groupwise deviations
Online Access:	http://www.mdpi.com/2073-4336/1/3/226/

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spelling	doaj-5abcd0f6e3f248cf99a239bcdff6f1962020-11-25T00:02:04ZengMDPI AGGames2073-43362010-07-011322624110.3390/g1030226A Characterization of Farsightedly Stable NetworksGilles GrandjeanAna MauleonVincent VannetelboschWe study the stability of social and economic networks when players are farsighted. We first provide an algorithm that characterizes the unique pairwise and groupwise farsightedly stable set of networks under the componentwise egalitarian allocation rule. We then show that this set coincides with the unique groupwise myopically stable set of networks but not with the unique pairwise myopically stable set of networks. We conclude that, if groupwise deviations are allowed then whether players are farsighted or myopic does not matter; if players are farsighted then whether players are allowed to deviate in pairs only or in groups does not matter. http://www.mdpi.com/2073-4336/1/3/226/farsighted playerspairwise deviationsgroupwise deviations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Gilles Grandjean Ana Mauleon Vincent Vannetelbosch
spellingShingle	Gilles Grandjean Ana Mauleon Vincent Vannetelbosch A Characterization of Farsightedly Stable Networks Games farsighted players pairwise deviations groupwise deviations
author_facet	Gilles Grandjean Ana Mauleon Vincent Vannetelbosch
author_sort	Gilles Grandjean
title	A Characterization of Farsightedly Stable Networks
title_short	A Characterization of Farsightedly Stable Networks
title_full	A Characterization of Farsightedly Stable Networks
title_fullStr	A Characterization of Farsightedly Stable Networks
title_full_unstemmed	A Characterization of Farsightedly Stable Networks
title_sort	characterization of farsightedly stable networks
publisher	MDPI AG
series	Games
issn	2073-4336
publishDate	2010-07-01
description	We study the stability of social and economic networks when players are farsighted. We first provide an algorithm that characterizes the unique pairwise and groupwise farsightedly stable set of networks under the componentwise egalitarian allocation rule. We then show that this set coincides with the unique groupwise myopically stable set of networks but not with the unique pairwise myopically stable set of networks. We conclude that, if groupwise deviations are allowed then whether players are farsighted or myopic does not matter; if players are farsighted then whether players are allowed to deviate in pairs only or in groups does not matter.
topic	farsighted players pairwise deviations groupwise deviations
url	http://www.mdpi.com/2073-4336/1/3/226/
work_keys_str_mv	AT gillesgrandjean acharacterizationoffarsightedlystablenetworks AT anamauleon acharacterizationoffarsightedlystablenetworks AT vincentvannetelbosch acharacterizationoffarsightedlystablenetworks AT gillesgrandjean characterizationoffarsightedlystablenetworks AT anamauleon characterizationoffarsightedlystablenetworks AT vincentvannetelbosch characterizationoffarsightedlystablenetworks
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A Characterization of Farsightedly Stable Networks

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