Mathematical Foundations of Game Theory, Rida Laraki; J?r?me Renault; Sylvain Sorin

Автор: Hayward
Название: Hex
ISBN: 0367144220 ISBN-13(EAN): 9780367144227
Издательство: Taylor&Francis
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Цена: 33670.00 T
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Описание: Written for a wide audience, this is the full story of Hex, inside and out, with all its twists and turns: Hein`s creation, Lindhard`s puzzles, Nash`s proofs, Gale`s Bridg-it, the game of Rex, Shannon`s machines, Bridg-it`s fall, Hex`s resilience, Hex theory, the hunt for winning strategies, and the rise of Hexbots.

Автор: Hayward, Ryan B.
Название: Hex, inside and out
ISBN: 0367144255 ISBN-13(EAN): 9780367144258
Издательство: Taylor&Francis
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Цена: 178640.00 T
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Описание: Written for a wide audience, this is the full story of Hex, inside and out, with all its twists and turns: Hein`s creation, Lindhard`s puzzles, Nash`s proofs, Gale`s Bridg-it, the game of Rex, Shannon`s machines, Bridg-it`s fall, Hex`s resilience, Hex theory, the hunt for winning strategies, and the rise of Hexbots.

Автор: Reshef Meir
Название: Strategic Voting
ISBN: 1681733617 ISBN-13(EAN): 9781681733616
Издательство: Mare Nostrum (Eurospan)
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Цена: 87780.00 T
Наличие на складе: Невозможна поставка.
Описание: Social choice theory deals with aggregating the preferences of multiple individuals regarding several available alternatives, a situation colloquially known as voting.There are many different voting rules in use and even more in the literature, owing to the various considerations such an aggregation method should take into account. The analysis of voting scenarios becomes particularly challenging in the presence of strategic voters, that is, voters that misreport their true preferences in an attempt to obtain a more favorable outcome. In a world that is tightly connected by the Internet, where multiple groups with complex incentives make frequent joint decisions, the interest in strategic voting exceeds the scope of political science and is a focus of research in economics, game theory, sociology, mathematics, and computer science.The book has two parts. The first part asks ""are there voting rules that are truthful?"" in the sense that all voters have an incentive to report their true preferences. The seminal Gibbard-Satterthwaite theorem excludes the existence of such voting rules under certain requirements. From this starting point, we survey both extensions of the theorem and various conditions under which truthful voting is made possible (such as restricted preference domains). We also explore the connections with other problems of mechanism design such as locating a facility that serves multiple users.In the second part, we ask ""what would be the outcome when voters do vote strategically?"" rather than trying to prevent such behavior. We overview various game-theoretic models and equilibrium concepts from the literature, demonstrate how they apply to voting games, and discuss their implications on social welfare.We conclude with a brief survey of empirical and experimental findings that could play a key role in future development of game theoretic voting models.

Автор: Andrew McEachern
Название: Game Theory: A Classical Introduction, Mathematical Games, and the Tournament
ISBN: 1681731584 ISBN-13(EAN): 9781681731582
Издательство: Mare Nostrum (Eurospan)
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Цена: 46200.00 T
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Описание: Presents collected notes from an introductory game theory course taught at Queen`s University. The course introduced traditional game theory and its formal analysis, but also moved to more modern approaches to game theory, providing a broad introduction to the current state of the discipline.

Автор: Diethard Ernst Pallaschke; S. Rolewicz
Название: Foundations of Mathematical Optimization
ISBN: 0792344243 ISBN-13(EAN): 9780792344247
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume covers such areas as: optimization in spaces without linear structure; optimization in infinite topological and normed vector spaces; well-posedness of linear problems in Banach spaces; and necessary conditions of optimality.

Автор: Meir Reshef
Название: Strategic Voting
ISBN: 1681733595 ISBN-13(EAN): 9781681733593
Издательство: Mare Nostrum (Eurospan)
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Цена: 66530.00 T
Наличие на складе: Невозможна поставка.
Описание: Social choice theory deals with aggregating the preferences of multiple individuals regarding several available alternatives, a situation colloquially known as voting.There are many different voting rules in use and even more in the literature, owing to the various considerations such an aggregation method should take into account. The analysis of voting scenarios becomes particularly challenging in the presence of strategic voters, that is, voters that misreport their true preferences in an attempt to obtain a more favorable outcome. In a world that is tightly connected by the Internet, where multiple groups with complex incentives make frequent joint decisions, the interest in strategic voting exceeds the scope of political science and is a focus of research in economics, game theory, sociology, mathematics, and computer science.The book has two parts. The first part asks ""are there voting rules that are truthful?"" in the sense that all voters have an incentive to report their true preferences. The seminal Gibbard-Satterthwaite theorem excludes the existence of such voting rules under certain requirements. From this starting point, we survey both extensions of the theorem and various conditions under which truthful voting is made possible (such as restricted preference domains). We also explore the connections with other problems of mechanism design such as locating a facility that serves multiple users.In the second part, we ask ""what would be the outcome when voters do vote strategically?"" rather than trying to prevent such behavior. We overview various game-theoretic models and equilibrium concepts from the literature, demonstrate how they apply to voting games, and discuss their implications on social welfare.We conclude with a brief survey of empirical and experimental findings that could play a key role in future development of game theoretic voting models.

Автор: Eilers
Название: Introduction to Experimental Mathematics
ISBN: 1107156130 ISBN-13(EAN): 9781107156135
Издательство: Cambridge Academ
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Цена: 48570.00 T
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Описание: A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.

Автор: Pablo Blanc, Julio Daniel Rossi
Название: Game Theory and Partial Differential Equations
ISBN: 3110619253 ISBN-13(EAN): 9783110619256
Издательство: Walter de Gruyter
Цена: 107790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jurgen Appell, Wurzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell . Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Автор: Mazalov Vladimir
Название: Mathematical Game Theory and Applications
ISBN: 1118899628 ISBN-13(EAN): 9781118899625
Издательство: Wiley
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Цена: 84430.00 T
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Описание: An authoritative and quantitative approach to modern game theory with applications from diverse areas including economics, political science, military science, and finance. Explores areas which are not covered in current game theory texts, including a thorough examination of zero-sum game.

Автор: Xin-She Yang; Xing-Shi He
Название: Mathematical Foundations of Nature-Inspired Algorithms
ISBN: 3030169359 ISBN-13(EAN): 9783030169350
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book presents a systematic approach to analyze nature-inspired algorithms. Beginning with an introduction to optimization methods and algorithms, this book moves on to provide a unified framework of mathematical analysis for convergence and stability. Specific nature-inspired algorithms include: swarm intelligence, ant colony optimization, particle swarm optimization, bee-inspired algorithms, bat algorithm, firefly algorithm, and cuckoo search. Algorithms are analyzed from a wide spectrum of theories and frameworks to offer insight to the main characteristics of algorithms and understand how and why they work for solving optimization problems. In-depth mathematical analyses are carried out for different perspectives, including complexity theory, fixed point theory, dynamical systems, self-organization, Bayesian framework, Markov chain framework, filter theory, statistical learning, and statistical measures. Students and researchers in optimization, operations research, artificial intelligence, data mining, machine learning, computer science, and management sciences will see the pros and cons of a variety of algorithms through detailed examples and a comparison of algorithms.

Автор: Kamran Dadkhah
Название: Foundations of Mathematical and Computational Economics
ISBN: 3642423930 ISBN-13(EAN): 9783642423932
Издательство: Springer
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Цена: 130390.00 T
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Описание: This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations.

Автор: Neogy S. K., Bapat Ravindra B., Dubey Dipti
Название: Mathematical Programming and Game Theory
ISBN: 9811330581 ISBN-13(EAN): 9789811330582
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory. All contributing authors are eminent researchers in their respective fields, from across the world. This book contains a collection of selected papers presented at the 2017 Symposium on Mathematical Programming and Game Theory at New Delhi during 9–11 January 2017. Researchers, professionals and graduate students will find the book an essential resource for current work in mathematical programming, game theory and their applications in finance, economics and graph theory. The symposium provides a forum for new developments and applications of mathematical programming and game theory as well as an excellent opportunity to disseminate the latest major achievements and to explore new directions and perspectives.