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Measurable systems and behavioral sciences

Abstract : Individual choices often depend on the order in which the decisions are made. In this paper, we expose a general theory of measurable systems (an example of which is an individual characterized by her preferences) allowing for incompatible (non-commuting) measurements. The basic concepts are illustrated in an example of non-classical rational choice. We conclude with a discussion of some of the basic properties of non-classical systems in the context of social sciences. In particular, we argue that the distinctive feature of non-classical systems translates into a formulation of bounded rationality.
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Submitted on : Tuesday, November 20, 2012 - 8:53:20 AM
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Vladimir Ivanovitch Danilov, Ariane Lambert-Mogiliansky. Measurable systems and behavioral sciences. Mathematical Social Sciences, Elsevier, 2008, 55 (3), pp.315-340. ⟨10.1016/j.mathsocsci.2007.10.004⟩. ⟨halshs-00754291⟩

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