On evolution of an information dynamic system and its generating operator
Article
Belavkin, R. 2012. On evolution of an information dynamic system and its generating operator. Optimization Letters. 6 (5), pp. 827-840. https://doi.org/10.1007/s11590-011-0325-z
| Type | Article |
|---|---|
| Title | On evolution of an information dynamic system and its generating operator |
| Authors | Belavkin, R. |
| Abstract | 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. |
| Keywords | Utility of information; Evolution operator; Semigroup; Monotone operator |
| Research Group | Artificial Intelligence group |
| Publisher | Springer |
| Journal | Optimization Letters |
| ISSN | 1862-4472 |
| Electronic | 1862-4480 |
| Publication dates | |
| Online | 17 Apr 2011 |
| 30 Jun 2012 | |
| Publication process dates | |
| Deposited | 02 Feb 2011 |
| Accepted | 01 Apr 2011 |
| Output status | Published |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/s11590-011-0325-z |
| Scopus EID | 2-s2.0-84861709128 |
| Web of Science identifier | WOS:000304624700001 |
| Language | English |
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