Full ordering in the Shorrocks mobility sense of the semiring of monotone doubly stochastic matrices |
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| Authors: | Branka Jankovi? Endre Pap |
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| Affiliation: | a Teacher Training College, University of Novi Sad, 21000 Novi Sad, Serbia
b Department of Mathematics and Informatics, University in Novi Sad, 21000 Novi Sad, Serbia |
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| Abstract: | In this paper, we investigate the ordering on a semiring of monotone doubly stochastic transition matrices in Shorrocks’ sense. We identify a class of an equilibrium index of mobility that induces the full ordering in a semiring, while this ordering is compatible with Dardanoni’s partial ordering on a set of monotone primitive irreducible doubly stochastic matrices. |
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| Keywords: | Primary: 60J20, 15B48 Secondary: 91C05, 15B51 |
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