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The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games

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  • F. Centrone
  • A. Martellotti

Abstract

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

Suggested Citation

  • F. Centrone & A. Martellotti, 2014. "The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jijmms:659814
    DOI: 10.1155/2014/659814
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    Cited by:

    1. F. Centrone & A. Martellotti, 2014. "Some Condition for Scalar and Vector Measure Games to Be Lipschitz," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-10, October.

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