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arXiv · 1207.1645

The Burkill-Cesari integral as a semivalue on subspaces of AC

Francesca Centrone·Anna Martellotti
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Abstract

We prove the simmetry of the Burkill-Cesari integral and discuss its continuity with respect to both the $ BV$ norm of Aumann and Shapley and to the Lipschitz norm. As a consequence, we provide an existence result of a value, different from the Aumann and Shapley's one, on a subspace of $AC_\infty$.

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Francesca Centrone, Anna Martellotti. 2012-07-06. The Burkill-Cesari integral as a semivalue on subspaces of AC. https://arxiv.org/abs/1207.1645

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