TY - JOUR
T1 - Nash Equilibrium of Two Game Models on the Random Social Network
AU - Xia , Min
JO - Annals of Applied Mathematics
VL - 4
SP - 417
EP - 427
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20621.html
KW - degree distribution, utility function, Nash equilibrium.
AB - <p style="text-align: justify;">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.</p>