Non-emptiness of the alpha-core: sufficient and necessary conditions-Reference-Cited by-同舟云学术

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

Published:2020-09-18 Issue:4 Volume:49 Page:1143-1153
ISSN:0020-7276
Container-title:International Journal of Game Theory
language:en
Short-container-title:Int J Game Theory

Author:

Basile Achille,Scalzo Vincenzo

Abstract

AbstractWe 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.

Funder

Università degli Studi di Napoli Federico II

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Economics and Econometrics,Social Sciences (miscellaneous),Mathematics (miscellaneous),Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s00182-020-00736-y.pdf

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