Lower previsions induced by multi-valued mappings |
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| Institution: | 1. Department of Informatics, Statistics and Telematics, Rey Juan Carlos University,C-Tulipán, s/n. 28933 Móstoles, Spain;2. SYSTeMS Research Group, Ghent University, Belgium;3. Department of Statistics and Operations Research, University of Oviedo, Spain;1. Collaborative Innovation Center for Energy Economics and Energy Policy, China Institute for Studies in Energy Policy, Xiamen University, Fujian 361005, PR China;2. Newhuadu Business School, Minjiang University, Fuzhou, Fujian 350108, PR China;3. College of Mathematics & Computer, Hunan Normal University, Changsha 410081, PR China;1. LIP6, Université Pierre et Marie Curie, Paris 6, 4 Place Jussieu, 75005 Paris, France;2. Dip. Matematica e Informatica, Università degli Studi di Perugia, via Vanvitelli 1, 06123 Perugia, Italy;3. Dip. S.B.A.I., “La Sapienza” Università di Roma, via Scarpa 16, 06123 Roma, Italy;1. Department of Neuroscience, Brown University, Providence, RI 02912, USA;1. Dept. of Statistics and O.R., University of Oviedo, Spain;2. Dept. of Computer Sciences, University of Oviedo, Spain;1. Department of Mathematics, University of Maryland, College Park, MD 20742, USA;2. Dipartimento di Economia, Università degli Studi di Perugia, I-06123 Perugia, Italy;3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, I-00133 Rome, Italy |
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| Abstract: | We discuss how lower previsions induced by multi-valued mappings fit into the framework of the behavioural theory of imprecise probabilities, and show how the notions of coherence and natural extension from that theory can be used to prove and generalise existing results in an elegant and straightforward manner. This provides a clear example for their explanatory and unifying power. |
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