The burkill-cesari integral on spaces of absolutely continuous games

F. Centrone; A. Martellotti

doi:10.1155/2014/659814

The burkill-cesari integral on spaces of absolutely continuous games

F. Centrone
, A. Martellotti

Dipartimento di Studi per l'Economia e l'Impresa

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We prove that the Burkill-Cesari integral is a value on a subspace of A C and then discuss its continuity with respect to both the B V and the Lipschitz norm. We provide an example of value on a subspace of A C strictly containing p N A as well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley's one, on a subspace of A C ∞.

Lingua originale	Inglese
Numero di articolo	659814
Rivista	International Journal of Mathematics and Mathematical Sciences
Volume	2014
DOI	https://doi.org/10.1155/2014/659814
Stato di pubblicazione	Pubblicato - 2014

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10.1155/2014/659814

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AB - We prove that the Burkill-Cesari integral is a value on a subspace of A C and then discuss its continuity with respect to both the B V and the Lipschitz norm. We provide an example of value on a subspace of A C strictly containing p N A as well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley's one, on a subspace of A C ∞.

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The burkill-cesari integral on spaces of absolutely continuous games

Abstract

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