Andrey Garnaev

Bio: Andrey Garnaev is an academic researcher from Rutgers University. The author has contributed to research in topics: Jamming & Nash equilibrium. The author has an hindex of 24, co-authored 114 publications receiving 1538 citations. Previous affiliations of Andrey Garnaev include Saint-Petersburg State University of Architecture and Civil Engineering & Saint Petersburg State University.

A jamming game in wireless networks with transmission cost

Abstract: We consider jamming in wireless networks with transmission cost for both transmitter and jammer. We use the framework of non-zerosum games. In particular, we prove the existence and uniqueness of Nash equilibrium. It turns out that it is possible to provide analytical expressions for the equilibrium strategies. These expressions is a generalization of the standard water-filling. In fact, since we take into account the cost of transmission, we obtain even a generalization of the water-filling in the case of one player game. The present framework allows us to study both water-filling in time and water-filling in frequency. By means of numerical examples we study an important particular case of jamming of the OFDM system when the jammer is situated close to the base station.

Search Games and Other Applications of Game Theory

Abstract: Preliminary Results from Game Theory.- Ambush Games.- Allocation Games.- Dynamic Infiltration and Inspection Games.- Games of Timing.- Parlour Games.

Generalized α-fair resource allocation in wireless networks

Abstract: The classical water filling problem is concerned with optimally assigning powers over n independent channels so as to maximize the total transmitted throughput. If each channel is associated with another mobile then it is natural to consider also the problem of fair assignment and to study tradeoffs between fairness and optimality. The object which is allocated is the transmission power, and we are interested in assigning it so as to obtain fairness between either one of three resulting performance measures: the signal to noise ratio, a shifted version of it, or the Shannon capacity. We suggest the generalized α-fairness concept. We obtain explicit solutions for and insight on the fair assignment corresponding to the various performance measures. For the case of a large number of users we consider a variational formulation of the problem. The variational formulation allows us to design distributed resource allocation algorithms.

Jamming in wireless networks: The case of several jammers

Abstract: The problem of jamming plays a very important role in ensuring the quality and security of wireless communications, especially now when wireless networks are quickly becoming ubiquitous. Since jamming phenomenon can be considered as a game where a player (jammer) is playing against a user (transmitter), game theory is an appropriate tool for dealing with the jamming problem. In this paper we study how increasing number of jammers impacts the game. Namely, we consider plots with one and two jammers and as an objective function to the user we consider SINR. We show that in all the scenarii the jammers equalize the quality of the best sub-carriers for transmitter on as low level as their power constraint allows, meanwhile the user distributes his power among these jamming sub-carriers and in two jammer case the jammers employ time sharing strategies to bring the maximal harm.

On the capacity of a cellular CDMA system

Abstract: It is shown that, particularly for terrestrial cellular telephony, the interference-suppression feature of CDMA (code division multiple access) can result in a many-fold increase in capacity over analog and even over competing digital techniques. A single-cell system, such as a hubbed satellite network, is addressed, and the basic expression for capacity is developed. The corresponding expressions for a multiple-cell system are derived. and the distribution on the number of users supportable per cell is determined. It is concluded that properly augmented and power-controlled multiple-cell CDMA promises a quantum increase in current cellular capacity. >

Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey

Abstract: This paper provides a comprehensive review of the domain of physical layer security in multiuser wireless networks. The essential premise of physical layer security is to enable the exchange of confidential messages over a wireless medium in the presence of unauthorized eavesdroppers, without relying on higher-layer encryption. This can be achieved primarily in two ways: without the need for a secret key by intelligently designing transmit coding strategies, or by exploiting the wireless communication medium to develop secret keys over public channels. The survey begins with an overview of the foundations dating back to the pioneering work of Shannon and Wyner on information-theoretic security. We then describe the evolution of secure transmission strategies from point-to-point channels to multiple-antenna systems, followed by generalizations to multiuser broadcast, multiple-access, interference, and relay networks. Secret-key generation and establishment protocols based on physical layer mechanisms are subsequently covered. Approaches for secrecy based on channel coding design are then examined, along with a description of inter-disciplinary approaches based on game theory and stochastic geometry. The associated problem of physical layer message authentication is also briefly introduced. The survey concludes with observations on potential research directions in this area.

Game theory meets network security and privacy

Abstract: This survey provides a structured and comprehensive overview of research on security and privacy in computer and communication networks that use game-theoretic approaches. We present a selected set of works to highlight the application of game theory in addressing different forms of security and privacy problems in computer networks and mobile applications. We organize the presented works in six main categories: security of the physical and MAC layers, security of self-organizing networks, intrusion detection systems, anonymity and privacy, economics of network security, and cryptography. In each category, we identify security problems, players, and game models. We summarize the main results of selected works, such as equilibrium analysis and security mechanism designs. In addition, we provide a discussion on the advantages, drawbacks, and future direction of using game theory in this field. In this survey, our goal is to instill in the reader an enhanced understanding of different research approaches in applying game-theoretic methods to network security. This survey can also help researchers from various fields develop game-theoretic solutions to current and emerging security problems in computer networking.

Methods of Numerical Integration

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Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey

Abstract: This paper provides a comprehensive review of the domain of physical layer security in multiuser wireless networks. The essential premise of physical-layer security is to enable the exchange of confidential messages over a wireless medium in the presence of unauthorized eavesdroppers without relying on higher-layer encryption. This can be achieved primarily in two ways: without the need for a secret key by intelligently designing transmit coding strategies, or by exploiting the wireless communication medium to develop secret keys over public channels. The survey begins with an overview of the foundations dating back to the pioneering work of Shannon and Wyner on information-theoretic security. We then describe the evolution of secure transmission strategies from point-to-point channels to multiple-antenna systems, followed by generalizations to multiuser broadcast, multiple-access, interference, and relay networks. Secret-key generation and establishment protocols based on physical layer mechanisms are subsequently covered. Approaches for secrecy based on channel coding design are then examined, along with a description of inter-disciplinary approaches based on game theory and stochastic geometry. The associated problem of physical-layer message authentication is also introduced briefly. The survey concludes with observations on potential research directions in this area.