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Entropy 2013, 15(6), 2012-2022; doi:10.3390/e15062012
Article

The Dynamics of Concepts in a Homogeneous Community

1,*  and 2
1 Department of Industrial Engineering, Tel-Aviv University, Ramat Aviv 69978, Israel 2 Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
* Author to whom correspondence should be addressed.
Received: 1 April 2013 / Revised: 13 May 2013 / Accepted: 21 May 2013 / Published: 23 May 2013
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Abstract

The paper addresses informational interactions in a community and considers the dynamics of concepts that represent distribution of knowledge among the individuals. The evolution of a set of concepts maintained by a community is derived by the use of the concepts’ significance in the communication between “cognoscenti” and “dilettanti” and of birth-death processes. The dynamics of concepts depend on the allocation of communication resources and can be governed by an informational principle that requires minimum self-information of the set of concepts over a time horizon. With respect to that principle, the introduction of a new concept into a community’s disposal is shown to lead to a steady-state self-information, which is smaller than that before the introduction of the new concept.
Keywords: social networks; communities; information diffusion; concepts’ dynamics social networks; communities; information diffusion; concepts’ dynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Khmelnitsky, E.; Kagan, E. The Dynamics of Concepts in a Homogeneous Community. Entropy 2013, 15, 2012-2022.

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