Non-emptiness of the alpha-core

Autor Principal: Martins-da-Rocha, Victor Filipe
Outros Autores: Yannelis, Nicholas C.
Tipo: Technical Report
Idioma: en_US
Publicado em: Escola de Pós-Graduação em Economia da FGV 20110506
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We prove non-emptiness of the alpha-core for balanced games with non-ordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991) 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.

We provide two models with Knightian and voting preferences for which the results of Scarf (1971) and Kajii (1992) cannot be applied while our non-emptiness result applies.