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The Dynamics of Concepts in a Homogeneous Community
Department of Industrial Engineering, Tel-Aviv University, Ramat Aviv 69978, Israel
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; in revised form: 13 May 2013 / Accepted: 21 May 2013 / Published: 23 May 2013
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
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Khmelnitsky, E.; Kagan, E. The Dynamics of Concepts in a Homogeneous Community. Entropy 2013, 15, 2012-2022.
Khmelnitsky E, Kagan E. The Dynamics of Concepts in a Homogeneous Community. Entropy. 2013; 15(6):2012-2022.
Khmelnitsky, Eugene; Kagan, Eugene. 2013. "The Dynamics of Concepts in a Homogeneous Community." Entropy 15, no. 6: 2012-2022.