Year: 2017
Author: Min Xia
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 417–427
Abstract
It is known that somebody’s behavior (decision) in a stochastic social network may be influenced by that of his (or her) friends. In this paper, we consider two stochastic social network game models (a) and (b) which can be defined respectively by two different utility functions. Some sufficient conditions for the existence of Nash equilibrium (NE) of the two network game models are obtained by analyzing the different effort relation between a player and his (or her) neighbors.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20621
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 417–427
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: degree distribution utility function Nash equilibrium.