Multi-layer hierarchical approach to double sided jamming games among teams of mobile agents

Sourabh Bhattacharya, Tamer Basar

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we study the trade off in resource allocation between malicious intrusion (jamming) and communication/ coordination by two teams of mobile agents. Agents belonging to the same team communicate over wireless ad hoc networks, and they distribute their available power between the tasks of communication and jamming the communication network nodes of the other team. This is a generalization of our earlier work in [7] which considered the special case when each team consists of only two agents. Here we consider the nontrivial extension to multiple agents (in each team). The agents have constraints on their total energy and instantaneous power usage. The cost function adopted is the difference between the rates of erroneously transmitted bits of each team. We model the problem as a zero-sum differential game between the two teams (where the teams are the actual players in the zero-sum game) and use Isaacs' approach to obtain necessary conditions for the corresponding trajectories. The solution to the optimal control problem for each team in turn depends on the solution to the power allocation problem for each agent. The power allocation problem is a non-zero sum game between the two teams, and we present sufficient conditions for the existence of a pure strategy Nash equilibrium. Finally, we provide some simulation results to validate the approach taken.

Original languageEnglish (US)
Article number6426411
Pages (from-to)5774-5779
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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