On evolution of an information dynamic system and its generating operator
Belavkin, Roman V. (2011) On evolution of an information dynamic system and its generating operator. Optimization Letters, 6 (5). pp. 827-840. ISSN 1862-4472
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Official URL: http://dx.doi.org/10.1007/s11590-011-0325-z
States of a dynamical information system can be represented by points on a statistical manifold - a subset of a vector space endowed with an information topology. An evolution of such a system can be analysed from the point of the theory of evolution operators and semigroups. Here we use the information utility theory to show that in an optimal system the evolution and the corresponding semigroup is generated by a utility operator. We discuss the relation of optimal information dynamics to replicator dynamics in evolutionary systems and to problems of elicitation of subjective utility of agents in a game and estimation of constraints of an information system.
|Research Areas:||Science & Technology > Science & Technology|
Science & Technology > Algorithms, Architecture & Networks
Science & Technology > Mathematics & Statistics
|Citations on ISI Web of Science:||0|
|Deposited On:||02 Feb 2011 11:49|
|Last Modified:||31 May 2013 14:05|
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