The Burkill-Cesari integral on spaces of absolutely continuous games (Q2448846)

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The Burkill-Cesari integral on spaces of absolutely continuous games
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    The Burkill-Cesari integral on spaces of absolutely continuous games (English)
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    5 May 2014
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    Summary: 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 \(AC_\infty\).
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    Burkill-Cesari integral
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    value on a subspace
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    continuity
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    Lipschitz continuous value
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