Stochastic stability in one-way flow networks

This paper considers one-way flow network formation games in which transmission through a series of agents is subject to decay. We analyze the myopic best-response dynamics of network formation games, occasionally perturbed by state-dependent random noises. Specifically, if an agent is isolated or has a direct neighbor who is better paid, it is more likely that the agent will make mistakes. Our main result identifies that only empty and wheel networks are candidates for long-term outcomes.