Nash equilibrium

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In game theory, Nash equilibrium (named after John Forbes Nash, who proposed it) is a solution concept of a game involving two or more players, in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only his own strategy unilaterally. (Wikipedia.org)






Conferences related to Nash equilibrium

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2019 41st Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)

The conference program will consist of plenary lectures, symposia, workshops andinvitedsessions of the latest significant findings and developments in all the major fields ofbiomedical engineering.Submitted papers will be peer reviewed. Accepted high quality paperswill be presented in oral and postersessions, will appear in the Conference Proceedings and willbe indexed in PubMed/MEDLINE & IEEE Xplore


2019 IEEE 58th Conference on Decision and Control (CDC)

The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, systems and control, and related areas.The 58th CDC will feature contributed and invited papers, as well as workshops and may include tutorial sessions.The IEEE CDC is hosted by the IEEE Control Systems Society (CSS) in cooperation with the Society for Industrial and Applied Mathematics (SIAM), the Institute for Operations Research and the Management Sciences (INFORMS), the Japanese Society for Instrument and Control Engineers (SICE), and the European Union Control Association (EUCA).


2019 IEEE Power & Energy Society General Meeting (PESGM)

The Annual IEEE PES General Meeting will bring together over 2900 attendees for technical sessions, administrative sessions, super sessions, poster sessions, student programs, awards ceremonies, committee meetings, tutorials and more


2019 IEEE/CVF International Conference on Computer Vision (ICCV)

Early Vision and Sensors Color, Illumination and Texture Segmentation and Grouping Motion and TrackingStereo and Structure from Motion Image -Based Modeling Physics -Based Modeling Statistical Methods and Learning in VisionVideo Surveillance and Monitoring Object, Event and Scene Recognition Vision - Based Graphics Image and Video RetrievalPerformance Evaluation Applications


2019 International Conference on Robotics and Automation (ICRA)

Flagship conference of the robotics and automation society, a premiere international venue for international robotics researchers


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Periodicals related to Nash equilibrium

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Automatic Control, IEEE Transactions on

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...


Circuits and Systems II: Express Briefs, IEEE Transactions on

Part I will now contain regular papers focusing on all matters related to fundamental theory, applications, analog and digital signal processing. Part II will report on the latest significant results across all of these topic areas.


Communications Letters, IEEE

Covers topics in the scope of IEEE Transactions on Communications but in the form of very brief publication (maximum of 6column lengths, including all diagrams and tables.)


Communications, IEEE Transactions on

Telephone, telegraphy, facsimile, and point-to-point television, by electromagnetic propagation, including radio; wire; aerial, underground, coaxial, and submarine cables; waveguides, communication satellites, and lasers; in marine, aeronautical, space and fixed station services; repeaters, radio relaying, signal storage, and regeneration; telecommunication error detection and correction; multiplexing and carrier techniques; communication switching systems; data communications; and communication theory. In addition to the above, ...


Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Methods, algorithms, and human-machine interfaces for physical and logical design, including: planning, synthesis, partitioning, modeling, simulation, layout, verification, testing, and documentation of integrated-circuit and systems designs of all complexities. Practical applications of aids resulting in producible analog, digital, optical, or microwave integrated circuits are emphasized.


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Most published Xplore authors for Nash equilibrium

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Xplore Articles related to Nash equilibrium

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Secret Key Region in Multiple Antenna Wiretap Interference Channels with Public Discussion

SCC 2013; 9th International ITG Conference on Systems, Communication and Coding, 2013

Physical layer security recently gained increased attention because it can provide different levels of security without the need for complicated infrastructure or complex cryptographic algorithms. In this paper, we consider a multiple antenna interference channel with confidential messages in which a public discussion channel is available. The receivers can reliably but publicly communicate with their transmitters. First, we derive an ...


Decentralized network resource allocation as a repeated noncooperative market game

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2001

Market-based methods are an emerging paradigm for controlling large decentralized systems. We introduce in this paper a bidding mechanism for allocation of Internet resources among competing agents, and study it from a game-theoretic perspective. We prove the existence and the uniqueness of Nash equilibrium and present an update algorithm that allows users to converge to the Nash equilibrium in a ...


Solving the coupled Riccati equation for the N-players LQ differential game

2005 2nd International Conference on Electrical and Electronics Engineering, 2005

A solution for the Differential Riccati Equation arises from the N-Players LQ differential game is presented. The game solution corresponds to a Nash- equilibrium point of this game. The approach is based on extending the state vector that allows to present the classical result (N Coupled Riccati Equations) as a single Extended Coupled Riccati Differential Equation that can be solved ...


Using Stochastic Game Theory to Compute the Expected Behavior of Attackers

2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops), 2005

This paper presents ongoing work on using stochastic game theory as a mathematical tool for computing the expected behavior of attackers. The possible use of the Nash Equilibrium as a part of the transition probabilities in state transition models is defined and motivated. To demonstrate the approach, a simple example of an attack against a computer network is modelled and ...


Research on the cooperation and competition strategies of port based on hinterland traffic condition

2016 International Conference on Logistics, Informatics and Service Sciences (LISS), 2016

On the basis of analyzing customer's choice behavior, this paper constructs a utility function of port and obtains an equilibrium pricing strategy before and after competition and cooperation by applying Nash equilibrium. In addition, it also analyzes the impact of hinterland traffic condition on the competition and cooperation between ports. The analyzed results demonstrate that with the improvement of hinterland ...


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Educational Resources on Nash equilibrium

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IEEE-USA E-Books

  • Secret Key Region in Multiple Antenna Wiretap Interference Channels with Public Discussion

    Physical layer security recently gained increased attention because it can provide different levels of security without the need for complicated infrastructure or complex cryptographic algorithms. In this paper, we consider a multiple antenna interference channel with confidential messages in which a public discussion channel is available. The receivers can reliably but publicly communicate with their transmitters. First, we derive an achievable secret key region. This region can improve the achievable secrecy rate region. Then the optimal transmit beamforming vectors achieving efficient operating points are characterized. Finally, the non-cooperative transmit strategy problem is studied for a specifically designed utility function for which there exists a unique Nash equilibrium in dominating strategies. Interestingly, the secret key rate region is not necessarily larger than the secrecy rate region (in contrast to single-user systems).

  • Decentralized network resource allocation as a repeated noncooperative market game

    Market-based methods are an emerging paradigm for controlling large decentralized systems. We introduce in this paper a bidding mechanism for allocation of Internet resources among competing agents, and study it from a game-theoretic perspective. We prove the existence and the uniqueness of Nash equilibrium and present an update algorithm that allows users to converge to the Nash equilibrium in a decentralized manner using feedback of only the common information available to the resource. The necessary conditions for local stability of relaxed versions of the algorithm are derived and verified by simulations.

  • Solving the coupled Riccati equation for the N-players LQ differential game

    A solution for the Differential Riccati Equation arises from the N-Players LQ differential game is presented. The game solution corresponds to a Nash- equilibrium point of this game. The approach is based on extending the state vector that allows to present the classical result (N Coupled Riccati Equations) as a single Extended Coupled Riccati Differential Equation that can be solved by standard methods. Thus the Nash equilibrium is found in an easier way. The effectiveness of the designed strategy is illustrated by two examples.

  • Using Stochastic Game Theory to Compute the Expected Behavior of Attackers

    This paper presents ongoing work on using stochastic game theory as a mathematical tool for computing the expected behavior of attackers. The possible use of the Nash Equilibrium as a part of the transition probabilities in state transition models is defined and motivated. To demonstrate the approach, a simple example of an attack against a computer network is modelled and analyzed.

  • Research on the cooperation and competition strategies of port based on hinterland traffic condition

    On the basis of analyzing customer's choice behavior, this paper constructs a utility function of port and obtains an equilibrium pricing strategy before and after competition and cooperation by applying Nash equilibrium. In addition, it also analyzes the impact of hinterland traffic condition on the competition and cooperation between ports. The analyzed results demonstrate that with the improvement of hinterland traffic condition, part of ports use cooperation strategy, which can not only improve the overall profit and share of the cooperative ports, but also can enhance the interest and market share of non-competitive ports so that the improvement of overall interest and market share of regional port group can be realized.

  • Linear Exponential Quadratic Stochastic Differential Games

    In this technical note a two person noncooperative stochastic differential game described by a linear stochastic equation with a Brownian motion and a payoff that is the exponential of a quadratic functional in the state and the control strategies of the two players is explicitly solved. The optimal strategies form a Nash equilibrium. The value of the game is also determined explicitly. The solution of this problem is naturally related to a linear quadratic stochastic differential game and a linear exponential quadratic control problem.

  • Joint power and rate control using game theory in heterogeneous networks

    A joint power and rate control using game theory algorithm is proposed in heterogeneous networks environment with interference among different systems. It designs a novel revenue function based on the fairness of users' power control and the rate allocation, accompanying with the interference of the primary users caused by different users. The existence and uniqueness of the Nash equilibrium of game theory are derived by rigorous mathematical. Furthermore, simulation results show that the proposed algorithm can improve users' power control and rate allocation significantly.

  • Energy efficiency in multi-hop CDMA networks: A game theoretic analysis considering operating costs

    A game-theoretic analysis is used to study the effects of receiver choice and transmit power on the energy efficiency of multi-hop networks in which the nodes communicate using direct-sequence code division multiple access (DS- CDMA). A Nash equilibrium of the game in which the network nodes can choose their receivers as well as their transmit powers to maximize the total number of bits they transmit per unit of energy spent (including both transmit and operating energy) is derived. The energy efficiencies resulting from the use of different linear multiuser receivers in this context are compared for the non-cooperative game. Significant gains in energy efficiency are observed when multiuser receivers, particularly the linear minimum mean-square error (MMSE) receiver, are used instead of conventional matched filter receivers.

  • Coalitional fairness and distortion of utilities

    The author considers the noncooperative game with strategies consisting of utility functions and whose outcomes are coalitionally fair solutions for the case of a finite number of agents who wish to divide a finite number of commodities. It is shown that for such a game any equal-income competitive equilibrium allocation for the true utilities is a Nash equilibrium outcome.<<ETX>>

  • Pricing radio resources for utility maximization in the context of channel capacity region per unit cost

    Distributed rate-and-power control are considered for a wireless data network where users maximize their utilities (QoS) measured in bits per Joule. The outcome of the distributed algorithm (a non-cooperative game) is a Nash equilibrium which is Pareto inefficient. Pricing of resources (rate and power) are used to effect Pareto improvements in the system. Numerical results show that pricing improves the utilities of all users while reducing their transmit powers. Specifically, we present these results in the context of Verdu's (1990) capacity region per unit cost where we observe that pricing of resources results in moving the vector of users' utilities closer to the boundary of the capacity region per unit cost-which is also the ultimate boundary for utility vectors measured in bits per Joule. This connects the concept of utility (measured in bits per Joule) and that of capacity per unit cost. In the absence of reliable decoding, pricing under heavy system loads moves the Nash equilibrium very close to the Pareto frontier, which is the practical boundary of utility possibilities.



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