1 research outputs found
Nash Equilibrium in Social Media
In this work, we investigate an application of a Nash equilibrium seeking
algorithm in a social network. In a networked game each player (user) takes
action in response to other players' actions in order to decrease (increase)
his cost (profit) in the network. We assume that the players' cost functions
are not necessarily dependent on the actions of all players. This is due to
better mimicking the standard social media rules. A communication graph is
defined for the game through which players are able to share their information
with only their neighbors. We assume that the communication neighbors
necessarily affect the players' cost functions while the reverse is not always
true. In this game, the players are only aware of their own cost functions and
actions. Thus, each of them maintains an estimate of the others' actions and
share it with the neighbors to update his action and estimates.Comment: arXiv admin note: substantial text overlap with arXiv:1612.0717