Essential stability of $$alpha $$-core |
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Authors: | Zhe Yang |
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Affiliation: | 1.School of Economics,Shanghai University of Finance and Economics,Shanghai,People’s Republic of China;2.Key Laboratory of Mathematical Economics (SUFE),Ministry of Education,Shanghai,People’s Republic of China |
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Abstract: | Using the existence results in Kajii (J Econ Theory 56:194–205, 1992), we identify a class of n-person noncooperative games containing a dense residual subset of games whose cooperative equilibria are all essential. Moreover, we show that every game in this collection possesses an essential component of the (alpha )-core by proving the connectivity of minimal essential subsets of the (alpha )-core. |
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