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International Conference on Game Theory for Networks

Physical layer security game: How to date a girl with her boyfriend on the same table

Han Zhu, Ninoslav Marina, Merouane Abdelkader Debbah, Are Hjørungnes

Published May 1, 2009• 62 citations
Publisher

Abstract

Physical layer security is an emerging security concept that achieves perfect secrecy data transmission between the intended network nodes, while the eavesdropping malicious nodes obtain zero information. The so-called secrecy capacity can be improved using friendly jammers that introduce extra interference to the eavesdropping malicious nodes while the interference to the intended destination is limited. In this paper, we investigate the interaction between the source that transmits the desired data and friendly jammers who assist the source by "disguising" the eavesdropper. In order to obtain a distributed solution, we introduce a game theoretic approach. The game is defined in such a way that the source pays the friendly jammers to interfere the eavesdropper, and, therefore, increasing its secrecy capacity. Friendly jammers charge the source with a certain price for this "jamming service". There is a tradeoff for the price: If the price is too low, the profit of the jammers is low; and if the price is too high, the source would not buy the "service" (jamming power) or would buy it from other jammers. To analyze the game outcome, we define and investigate a Stackelberg game and construct a distributed algorithm. Our analysis and simulation results show the effectiveness of friendly jamming and the tradeoff for setting the price. The fancy title comes from the fact that it is similar to a scenario where the main fellow character (the source) tries to send a dating message to a lady (the intended destination), whose "poor" boyfriend plays the role of the eavesdropper that may hear the message. Friends of the source, the so-called "friendly jammers," try to distract the boyfriend, so that the dating message can be secretly transmitted. The game is defined in order to derive what is the optimal price that the friends can charge for this "friendly" action.

DOI
10.1109/gamenets.2009.5137412

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Physical layer security is an emerging security concept that achieves perfect secrecy data transmission between the intended network nodes, while the eavesdropping malicious nodes obtain zero information. The so-called secrecy capacity can be improved using friendly jammers that introduce extra interference to the eavesdropping malicious nodes while the interference to the intended destination is limited. In this paper, we investigate the interaction between the source that transmits the desired data and friendly jammers who assist the source by "disguising" the eavesdropper. In order to obtain a distributed solution, we introduce a game theoretic approach. The game is defined in such a way that the source pays the friendly jammers to interfere the eavesdropper, and, therefore, increasing its secrecy capacity. Friendly jammers charge the source with a certain price for this "jamming service". There is a tradeoff for the price: If the price is too low, the profit of the jammers is low; and if the price is too high, the source would not buy the "service" (jamming power) or would buy it from other jammers. To analyze the game outcome, we define and investigate a Stackelberg game and construct a distributed algorithm. Our analysis and simulation results show the effectiveness of friendly jamming and the tradeoff for setting the price. The fancy title comes from the fact that it is similar to a scenario where the main fellow character (the source) tries to send a dating message to a lady (the intended destination), whose "poor" boyfriend plays the role of the eavesdropper that may hear the message. Friends of the source, the so-called "friendly jammers," try to distract the boyfriend, so that the dating message can be secretly transmitted. The game is defined in order to derive what is the optimal price that the friends can charge for this "friendly" action.
Physical layer security is an emerging security area that achieves perfect secrecy data transmission between intended network nodes, while malicious nodes that eavesdrop the communication obtain zero information. The so-called secrecy capacity can be improved using friendly jammers that introduce extra interference to the eavesdroppers. We investigate the interaction between the source that transmits the useful data and friendly jammers who assist the source by "masking" the eavesdropper. To obtain distributed solution, we introduce a game theoretic approach. The game is defined such that the source pays the jammers to interfere the eavesdropper, therefore, increasing the secrecy capacity. The friendly jammers charge the source with a certain price for the jamming, and there is a tradeoff for the price. If too low, the profit of the jammers is low; and if too high, the source would not buy the "service" (jamming power) or would buy it from other jammers. To analyze the game outcome, we investigate a Stackelburg type of game and construct a distributed algorithm. Our analysis and simulation results show the effectiveness of friendly jamming and the tradeoff for setting the price. The distributed game solution is shown to have similar performances to those of the centralized one.
Physical layer security is an emerging security area that explores possibilities of achieving perfect secrecy data transmission between the intended network nodes, while possible malicious nodes that eavesdrop the communication obtain zero information. The so-called secrecy capacity can be improved using friendly jammers that introduce extra interference to the eavesdroppers. Here, we investigate the interaction between the multiple source-destination links and a friendly jammer who assists by “masking” the eavesdropper. In order to obtain a distributed solution, one possibility is to introduce a distributed auction theoretic approach. The auction is defined such that the source-destination links provide bids for the jammer to interfere the eavesdropper, therefore increasing their secrecy capacities. We propose a distributed auction using the share auction and iteratively updating the bids. To compare with the performances, we construct a centralized solution and a VCG auction, which cannot be implemented in practice. Our analysis and simulation results show the effectiveness of friendly jamming and convergence of the proposed scheme. The distributed game solution is shown to have similar performances to those of the centralized ones.
Physical layer security is an emerging security area that explores possibilities of achieving perfect secrecy data transmission between the intended network nodes, while possible malicious nodes that eavesdrop the communication obtain zero information. The so-called secrecy rate can be improved using friendly jammers that introduce extra interference to the eavesdroppers. Here, we investigate the interaction between the multiple source-destination links and a friendly jammer who assists by ''masking" the eavesdropper. In order to obtain a distributed solution, one possibility is to introduce a distributed auction theoretic approach. The auction is defined such that the source-destination links provide bids for the jammer to interfere the eavesdropper, therefore increasing their secrecy capacities. We propose a distributed auction using the share auction and iteratively updating the bids. To compare with the performances, we construct a centralized solution and a VCG auction, which cannot be implemented in practice. Our analysis and simulation results show the effectiveness of friendly jamming and convergence of the proposed scheme. The distributed game solution is shown to have similar performances to those of the centralized ones.
In this paper we investigate a cooperative jamming (CJ) strategy based Stackelberg security game to improve physical layer security over multiuser OFDMA networks. Each source node tries to deliver messages to its intended destination node securely in the presence of a passive eavesdropper. Fortunately, these node pairs can resort to a friendly jammer to enhance their communication. But the jamming service is not free and the friendly jammer charges each pair for some cost. Obviously there is a tradeoff between the friendly jammer and the source-destination pairs. Consequently, a two-level Stackelberg game model is proposed, where the friendly jammer plays the seller and the source-destination pairs are the buyers. We analyze the Stackelberg Equilibrium from two sides respectively and prove the existence and uniqueness of the Stackelberg Equilibrium. Correspondingly, we also develop a distributed iterative power allocation algorithm to reach the Stackelberg Equilibrium point. Numerical Results demonstrate that the system sum secrecy rate is really improved and the physical layer security performance is effectively meliorated.
In this paper, we consider a two-way relay system where the two sources can only communicate through an untrusted intermediate relay and investigate the physical layer security issue in this two-way untrusted relay scenario. Specifically, we regard the intermediate relay as an eavesdropper from which the information transmitted by the sources needs to be kept confidential, despite the fact that its cooperation in relaying this information is essential. We first indicate that a nonzero secrecy rate is indeed achievable in this two-way untrusted relay system even without the help of external friendly jammers. As for the system with friendly jammers, after further analysis, we can obtain the secrecy rate of the sources can be effectively improved by utilizing proper jamming power from the friendly jammers. Then, we formulate a Stackelberg game between the sources and the friendly jammers as a power control scheme to achieve the optimized secrecy rate of the sources, in which the sources are treated as the sole buyer and the friendly jammers are the sellers. In addition, the optimal solutions of the jamming power and the asking prices are given, and a distributed updating algorithm to obtain the Stackelberg equilibrium is provided for the proposed game. Finally, the simulation results verify the properties and efficiency of the proposed Stackelberg-game-based scheme.
To improve the physical layer security in the wireless communication network with an eavesdropper and a friendly jammer, this paper make use of beamforming to aim the jamming signal's main lobe to the eavesdropper and to diminish the jamming signal to the destination node, improving the efficiency of jamming power usage. On this basis, we propose a power auction model, in which we regard the source node as the buyer and the destination node as the seller and build corresponding utility function respectively. Then by using a distributed algorithm, Stackelberg equilibrium can be reached, maximizing the system utility and obtaining the corresponding secrecy capacity.