  Mobile autonomous system (MAS) becomes pervasive especially in the vehicular
and robotic networks. Multiple heterogeneous MAS networks can be integrated
together as a multi-layer MAS network to offer holistic services. The network
connectivity of multi-layer MAS plays an important role in the information
exchange between agents within and across different layers of the network. In
this paper, we establish a games-in-games framework to capture the
uncoordinated nature of decision makings under adversarial environment at
different layers. Specifically, each network operator controls the mobile
agents in his own subnetwork and designs a secure strategy to maximize the
global network connectivity by considering the behavior of jamming attackers
that aim to disconnect the network. The solution concept of meta-equilibrium is
proposed to characterize the system-of-systems behavior of the autonomous
agents. For online implementation of the control, we design a resilient
algorithm that improves the network algebraic connectivity iteratively. We show
that the designed algorithm converges to a meta-equilibrium asymptotically.
Finally, we use case studies of a two-layer MAS network to corroborate the
security and agile resilience of the network controlled by the proposed
strategy.
