Non-emptiness of the alpha-core: sufficient and necessary conditions

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Non-emptiness of the alpha-core

We prove non-emptiness of the α-core for balanced games with non-ordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b) and Kajii (1992). In particular we answer an open question in Kajii (1992) regarding the applicability of the non-emptiness results to models with infinite dimensional strategy spaces. ...

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ژورنال

عنوان ژورنال: International Journal of Game Theory

سال: 2020

ISSN: 0020-7276,1432-1270

DOI: 10.1007/s00182-020-00736-y