The Dynamics of Concepts in a Homogeneous Community

Abstract

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.

Dynamic Rankings for Seed Selection in Complex Networks: Balancing Costs and Coverage

“…Information spreading processes are a basement of viral marketing [1], rumours [2], social and political changes [3], innovation adoption [4] and other initiatives with emotional appeal [5]. Possible types of contents propagated within electronic systems include texts [6], concepts [7], video material [8], images [9] and marketing messages [10]. Research in this area is, among others, related to information flow within the networks [11], factors affecting performance of marketing campaigns [12] and the selection of highly influential nodes [13].…”