The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games
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, diff...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/659814 |
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| author | F. Centrone A. Martellotti |
| author_facet | F. Centrone A. Martellotti |
| author_sort | F. Centrone |
| collection | DOAJ |
| description | 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∞. |
| format | Article |
| id | doaj-art-97f7aa08403b4368a15983225f980946 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-97f7aa08403b4368a15983225f9809462025-02-03T06:13:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/659814659814The Burkill-Cesari Integral on Spaces of Absolutely Continuous GamesF. Centrone0A. Martellotti1Dipartimento di Studi per l'Economia e l'Impresa, Università del Piemonte Orientale, Via Perrone 18, 28100 Novara, ItalyDipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyWe 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∞.http://dx.doi.org/10.1155/2014/659814 |
| spellingShingle | F. Centrone A. Martellotti The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games International Journal of Mathematics and Mathematical Sciences |
| title | The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games |
| title_full | The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games |
| title_fullStr | The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games |
| title_full_unstemmed | The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games |
| title_short | The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games |
| title_sort | burkill cesari integral on spaces of absolutely continuous games |
| url | http://dx.doi.org/10.1155/2014/659814 |
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