Generating functions and the Myerson vector in communication networks

Vladimir V. Mazalov; Lyudmila I. Trukhina

doi:10.1515/dma-2014-0026

Published by De Gruyter November 14, 2014

Generating functions and the Myerson vector in communication networks

Vladimir V. Mazalov and Lyudmila I. Trukhina

From the journal Discrete Mathematics and Applications

https://doi.org/10.1515/dma-2014-0026

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Abstract

Cooperative games on undirected graphs are considered. The characteristic function is defined in a specialway with due account of the number of links and distances between vertices (players).Animputation procedure is put forward for a tree graph, the resulting imputation is shown to agree with theMyerson vector. For its calculation the use of the generating function is proposed. It is shown that the results obtained may be extended to games with arbitrary graphs.

Keywords : cooperative games; imputation distribution; the Myerson vector

Published Online: 2014-11-14

Published in Print: 2014-10-1

Generating functions and the Myerson vector in communication networks

Abstract

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