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

Achille Basile () and Vincenzo Scalzo ()
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Vincenzo Scalzo: University of Naples Federico II

International Journal of Game Theory, 2020, vol. 49, issue 4, No 12, 1143-1153

Abstract: Abstract We give sufficient and necessary conditions for the non-emptiness of the alpha-core in the setting of strategic games with non-ordered and discontinuous preferences. In order to prove our results, we can avoid the use of Scarf’s Theorem for NTU-games, by suitably appealing to the Ky Fan minimax inequality. Examples clarify our conditions and allow the comparison of our results with the previous ones.

Keywords: Games with non-ordered preferences; Discontinuous games; Non-emptiness of the alpha-core (search for similar items in EconPapers)
JEL-codes: C60 C71 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s00182-020-00736-y

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