We prove that the Burkill-Cesari integral is a value on a subspace of AC and then discuss its continuity with respect to both the BV and the Lipschitz norm. We provide an example of value on a subspace of AC strictly containing pNA as well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley's one, on a subspace of AC_∞
The Burkill-Cesari integral on spaces of absolutely continuous games
CENTRONE, Francesca;
2014-01-01
Abstract
We prove that the Burkill-Cesari integral is a value on a subspace of AC and then discuss its continuity with respect to both the BV and the Lipschitz norm. We provide an example of value on a subspace of AC strictly containing pNA as well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley's one, on a subspace of AC_∞File in questo prodotto:
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