Modelling of Non-Commuting Measurements

Vladimir Danilov ()

Journal of the New Economic Association, 2009, issue 1-2, 10-36

Abstract: In the paper we propose an approach which allows to discuss on formal level non-commuting measurements. Such measurements 'disturb' a measured system and change its states. The key structure used in the description of such measurements is the structure of ortho-poset (which is a Boolean lattice in the classical case of commuting measurements). States of the system are realized as probabilistic measures on the ortho-poset. We give an application of the proposed approach to decision-making under 'non-classical' indeterminacy and to modelling 'non-classical' preferences.

Keywords: First-kind measurement; inconsistent measurements; event; orthoposet; transition probability space (search for similar items in EconPapers)
JEL-codes: C44 D81 (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:nea:journl:y:2009:i:1-2:p:10-36

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