Mean field game and its applications in wireless networks / / Reginald A. Banez [and three others]

• Record Nr.: UNINA9910508445103321
• Autore: Banez Reginald A.
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2021]; ©2021
• ISBN: 3-030-86905-9
• Descrizione fisica: 1 online resource (184 pages)
• Collana: Wireless networks (Springer Firm)
• Disciplina: 530.144
• Soggetti: Mean field theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- Acronyms -- 1 Overview of Mean Field Games in Wireless Networks -- 1.1 Background and Requirements -- 1.1.1 Technical Requirements -- 1.1.2 Enabling Technologies -- 1.2 5G/6G Wireless Networks -- 1.2.1 Ultra-Dense Networks -- 1.2.2 Device-to-Device Communications -- 1.2.3 Internet-of-Things -- 1.2.4 Unmanned Aerial Vehicle Networks -- 1.2.5 Mobile Edge Networks -- 1.3 Introduction to Mean Field Games -- 1.4 Research Works on Mean Field Games in Wireless Networks -- 1.4.1 Single-Population Mean Field Games for Ultra-Dense Networks -- 1.4.2 Multiple-Population Mean Field Game for Social Networks -- 1.4.3 Mean-Field-Type Game for Multi-Access Edge Computing Networks -- 1.5 Organization and Summary -- References -- 2 Introduction to Mean Field Games and Mean-Field-Type Games -- 2.1 Introduction -- 2.1.1 Basic Concepts of Game Theory -- 2.1.1.1 Extensive-Form and Strategic-Form Games -- 2.1.1.2 Pure Strategies and Mixed Strategies -- 2.1.1.3 Nash Equilibrium -- 2.1.2 Mean Field Games and Related Fields of Study -- 2.2 Optimal Control Theory -- 2.2.1 Deterministic Optimal Control -- 2.2.1.1 Dynamic Programming Principle -- 2.2.1.2 Hamilton-Jacobi-Bellman Equation -- 2.2.2 Stochastic Optimal Control -- 2.2.2.1 Stochastic Process and Stochastic Differential Equations -- 2.2.2.2 Ito Stochastic Differentiation Rule -- 2.2.2.3 Stochastic Optimal Control Problem -- 2.2.2.4 Dynamic Programming Principle -- 2.2.2.5 Hamilton-Jacobi-Bellman Equation -- 2.3 Differential Games -- 2.3.1 ; Deterministic Differential Games -- 2.3.2 Stochastic Differential Games -- 2.4 Mean Field Games -- 2.4.1 Background and Motivation -- 2.4.2 Analytic Solution -- 2.4.3 Numerical Methods -- 2.4.4 Linear-Quadratic Mean Field Games -- 2.4.5 Multiple-Population Mean Field Games -- 2.5 Mean-Field-Type Games -- 2.5.1 Background.; 2.5.2 Linear-Quadratic Mean-Field-Type Control -- 2.5.3 Linear-Quadratic Mean-Field-Type Games -- References -- 3 A Survey of Mean Field Game Applications in Wireless Networks -- 3.1 Ultra-Dense Networks -- 3.1.1 Overview of Ultra-Dense Networks -- 3.1.2 Research Opportunities and Challenges -- 3.1.3 Proposed Mean Field Game Solutions -- 3.1.3.1 Interference Management -- 3.1.3.2 Propagation Modeling -- 3.1.3.3 Energy Efficiency -- 3.1.3.4 Scheduling -- 3.1.4 Summary -- 3.2 Device-to-Device Communications and Internet-of-Things -- 3.2.1 Overview of Device-to-Device Communications and Internet-of-Things -- 3.2.2 Research Opportunities and Challenges -- 3.2.3 Proposed Mean Field Game Solutions -- 3.2.3.1 Interference Management and Power Control -- 3.2.3.2 Proximity Services -- 3.2.3.3 Network Security -- 3.2.4 Summary -- 3.3 Unmanned Aerial Vehicle Networks -- 3.3.1 Overview of Unmanned Aerial Vehicle Networks -- 3.3.2 Research Opportunities and Challenges -- 3.3.3 Proposed Mean Field Game Solutions -- 3.3.3.1 Channel Modeling -- 3.3.3.2 Energy Efficiency -- 3.3.3.3 Deployment -- 3.3.3.4 Trajectory Optimization -- 3.3.4 Summary -- 3.4 Mobile Edge Networks -- 3.4.1 Overview of Mobile Edge Networks -- 3.4.2 Research Opportunities and Challenges -- 3.4.3 Proposed Mean Field Game Solutions -- 3.4.3.1 Latency and Energy Consumption Optimization -- 3.4.3.2 Resource Management -- 3.4.3.3 Caching -- 3.4.3.4 Computation Offloading -- 3.4.4 Summary -- References -- 4 Mean Field Game Applications in Ultra-Dense 5G, 6G, and Beyond Wireless Networks -- 4.1 Introduction -- 4.2 Ultra-Dense Device-to-Device Networks -- 4.2.1 System Model and Problem Formulation -- 4.2.2 Differential Game Model for Power Control -- 4.2.2.1 State Space -- 4.2.2.2 Cost Function -- 4.2.3 Optimal Control Problem and Mean Field Equilibrium.; 4.3 Ultra-Dense Unmanned Aerial Vehicles Networks -- 4.3.1 System Model -- 4.3.2 Mean Field Game Problem Formulation and Analysis -- 4.4 User-Dense Multi-Access Edge Computing Systems -- 4.4.1 Single-Resource Case -- 4.4.2 Multi-Resource Case -- References -- 5 Multiple-Population Mean Field Game for Social Networks -- 5.1 System Model -- 5.1.1 Opinion Dynamics Equation -- 5.1.2 Cost Function -- 5.2 Mean Field Game with Single Population -- 5.2.1 Background -- 5.2.2 A Mean Field Game Problem for Single-Population Social Networks -- 5.3 Mean Field Game with Several Populations -- 5.3.1 Background and Motivation -- 5.3.2 A Mean Field Game Problem for Multiple-Population Social Networks -- 5.4 Adjoint Method for Mean Field Games with Several Populations -- 5.4.1 Background -- 5.4.2 Adjoint Method for the Social Network Problems -- 5.5 Numerical Method for Mean Field Games with Several Populations -- 5.5.1 Background -- 5.5.2 Numerical Method for the Social Network Problems -- 5.6 Simulation Results and Discussion -- 5.6.1 Theoretical Results -- 5.6.2 Experimental Results with Real Dataset -- 5.6.2.1 Description of the Dataset -- 5.6.2.2 Processing of the Dataset -- 5.6.2.3 Procedure of the Experiment -- 5.6.2.4 Results and Analysis -- 5.6.3 Performance Analysis -- 5.7 Related Works -- 5.8 Conclusion -- References -- 6 Mean-Field-Type Game for Multi-Access Edge Computing Networks -- 6.1 System Model -- 6.1.1 Cost Functions -- 6.1.2 Network State Dynamics Equation -- 6.2 Mean-Field-Type Game Problem Formulation -- 6.2.1 Preliminaries -- 6.2.2 Cost Functions -- 6.2.3 Network State Dynamics Equation -- 6.2.4 Non-cooperative ; Problem -- 6.2.5 Cooperative Problem -- 6.3 Linear-Quadratic Mean-Field-Type-Game Solution Using a Direct Method -- 6.3.1 Non-cooperative Solution -- 6.3.2 Cooperative Solution.; 6.4 Mean-Field-Type Game Based Computation Offloading Algorithms -- 6.4.1 Non-cooperative Computation Offloading -- 6.4.2 Cooperative Computation Offloading -- 6.5 Performance Evaluation -- 6.5.1 Baseline Approaches -- 6.5.2 Performance Metrics -- 6.6 Simulation Results and Discussion -- 6.6.1 Simulation Setup -- 6.6.2 Optimal Offloading Control -- 6.6.3 Network Efficiency -- 6.6.4 System Cost and Benefit-Cost Ratio -- 6.7 Related Works -- 6.8 Conclusion -- References.

Dogma in medieval Jewish thought : from Maimonides to Abravanel / / Menachem Kellner [[electronic resource]]

• Record Nr.: UNINA9910796309503321
• Autore: Kellner Menachem Marc <1946->
• Pubbl/distr/stampa: Oxford : , : The Littman Library of Jewish Civilization, , 2004
• ISBN: 1-80034-037-0; 1-909821-42-X
• Edizione: [First digital on-demand edition.]
• Descrizione fisica: 1 online resource (xiii, 310 pages) : digital, PDF file(s)
• Collana: Liverpool scholarship online
• Disciplina: 296.3/09/02
• Soggetti: Judaism - History of doctrines; Jewish philosophy - History; Philosophy, Medieval; Judaism - History - Medieval and early modern period, 425-1789; Judaism
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Jul 2019).
• Nota di bibliografia: Includes bibliographical references and index.
• Sommario/riassunto: Dogma in Medieval Jewish Thought is an essay in the history of ideas which traces the development of creed formation in Judaism from its inception with Moses Maimonides (1138-1204) to the beginning of the sixteenth century when systematic attention to the problem disappeared from the agenda of Jewish intellectuals. The dogmatic ; systems of Maimonides, Duran, Crescas, Albo, Bibago, Abravanel, and a dozen lesser-known figures are described, analysed, and compared. Relevant texts are presented in English translation. For the most part these are texts which have never been critically edited and translated before. Among the theses defended in the book are the following: that systematic attention to dogma qua dogma was a new feature in Jewish theology introduced by Maimonides (for reasons examined at length in the book); that the subject languished for the two centuries after Maimonides' death until it was revived in fifteenth-century Spain in response to Christian attacks on Judaism; that the differing systems of dogma offered by medieval Jewish thinkers reflect not different conceptions of what Judaism is, but different conceptions of what a principle of Judaism is; and that the very project of creed formation reflects an essentially Greek as opposed to a biblical/rabbinic view of the nature of religious faith and that this accounts for much of the resistance which Maimonides' innovation aroused. 'An important contribution to the history of dogma in Judaism and to the history of fifteenth-century Jewish thought in particular.' Chava Tirosh-Rothschild, Critical Review 'A work of serious scholarship. It will no doubt become the standard work on the subject for many years to come.'