Learning Spaces and Media

Jean-Claude Falmagne () and Jean-Paul Doignon ()
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Jean-Claude Falmagne: University of California, Irvine, Department of Cognitive Sciences, Institute of Mathematical Behavioral Sciences
Jean-Paul Doignon: Université Libre de Bruxelles, Département de Mathématique

Chapter 10 in Learning Spaces, 2011, pp 163-185 from Springer

Abstract: Abstract A ‘medium’ is a collection of transformations on a set of states, specified by two constraining axioms. The term ‘medium’ stems from the original intuition suggesting such a structure, which is that of a system exposed to a bombardment of bits of information, each of which is capable of modifying its state in a minute way 1997. The system could be, for example an individual subjected to a barrage of messages from the media—that is, the press in all its incarnations—regarding the candidates in an election (see Regenwetter, Falmagne, and Grofman, 1999, for a good example). An account of such an application is Falmagne, Hsu, Leite, and Regenwetter (2007).

Keywords: Partial Order; Linear Order; Bijective Mapping; Adjacent State; Rooted Medium (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-01039-2_10

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