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.
Non-emptiness of the alpha-core: sufficient and necessary conditions / Basile, Achille; Scalzo, Vincenzo. - In: INTERNATIONAL JOURNAL OF GAME THEORY. - ISSN 0020-7276. - (2020). [10.1007/s00182-020-00736-y]
Non-emptiness of the alpha-core: sufficient and necessary conditions
Basile, Achille;Scalzo, Vincenzo
2020
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.File in questo prodotto:
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