# 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

Full text is not in this repository.

Official URL: http://dx.doi.org/10.1007/s11590-011-0325-z

## 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.

Item Type: | Article |
---|---|

Research Areas: | Science & Technology > Science & Technology Science & Technology > Algorithms, Architecture & Networks Science & Technology > Mathematics & Statistics |

Citations on ISI Web of Science: | 0 |

ID Code: | 6959 |

Useful Links: | |

Deposited On: | 02 Feb 2011 11:49 |

Last Modified: | 31 May 2013 14:05 |

Repository Staff Only: item control page

### Full text downloads (NB count will be zero if no full text documents are attached to the record)

Downloads per month over the past year