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Axiom of Centrality in Economics of Networks and Games on Nets

Student: Shevelev Aleksandr

Supervisor: Alexey V. Korolev

Faculty: St.Petersburg School of Economics and Management

Educational Programme: Applied Economics and Mathematical Methods (Master)

Year of Graduation: 2019

Centrality is the category depicting the role of network actor. The task of key actors identification is being solved with it. These actors must be well-integrated in the network and be influential in processes in Networks. Network, in that case, is a graph, where nodes are actors and vertices are connections between them. Variety of proposed centrality measures (based on an intuitive impression of concept “centrality”, beforehand) leads to a vague statement of a problem. As it is illustrated in this paper, none of depicted centrality measures passes the axioms, which should have been the common sense – benchmarks.

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