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Books > Science & Mathematics > Mathematics > Optimization > Game theory

Prisoner's Dilemma (Paperback, 1st Anchor Books ed): William Poundstone Prisoner's Dilemma (Paperback, 1st Anchor Books ed)
William Poundstone
R421 R367 Discovery Miles 3 670 Save R54 (13%) Ships in 10 - 15 working days

John von Neumann invented the digital computer, played a key role in the development of the atom bomb, constructed a branch of mathematics known as game theory, and became a defender of a movement to bomb the Russians before they could bomb us. Now comes a biography of this controversial genius and an exploration of his greatest idea--one that nearly triggered a nuclear war in 1950. Photographs.

Analyzing Electoral Promises with Game Theory (Paperback): Yasushi Asako Analyzing Electoral Promises with Game Theory (Paperback)
Yasushi Asako
R753 Discovery Miles 7 530 Ships in 12 - 19 working days

Electoral promises help to win votes and political candidates, or parties should strategically choose what they can deliver to win an election. Past game-theoretical studies tend to ignore electoral promises and this book sheds illuminating light on the functions and effects of electoral promises on policies or electoral outcomes through game theory models. This book provides a basic framework for game-theoretical analysis of electoral promises. The book also includes cases to illustrate real life applications of these theories.

War in Economic Theories over Time - Assessing the True Economic, Social and Political Costs (Paperback, 1st ed. 2020): Renata... War in Economic Theories over Time - Assessing the True Economic, Social and Political Costs (Paperback, 1st ed. 2020)
Renata Allio
R3,119 Discovery Miles 31 190 Ships in 10 - 15 working days

This book offers the first systematic analysis of economic thought concerning war. It retraces debates on war from the formation of European states, the rise of Mercantilism, to Colonialism, Imperialism, the World Wars and the Cold War. Allio shows different economic perspectives from which it is possible to study war as a tool to achieve economic ends: causes, consequences, costs, funding methods, and effects on the economic status of the state and on the well-being of citizens. Examining interpretations from Smith, Hobson, Keynes, Kalecki, Stiglitz and many more, this important volume addresses the economic implications of war from the perspectives of many who bore the costs of wars in reality.

Recent Developments in Fuzzy Logic and Fuzzy Sets - Dedicated to Lotfi A. Zadeh (Paperback, 1st ed. 2020): Shahnaz N.... Recent Developments in Fuzzy Logic and Fuzzy Sets - Dedicated to Lotfi A. Zadeh (Paperback, 1st ed. 2020)
Shahnaz N. Shahbazova, Michio Sugeno, Janusz Kacprzyk
R6,315 Discovery Miles 63 150 Ships in 10 - 15 working days

This book provides a timely and comprehensive overview of current theories and methods in fuzzy logic, as well as relevant applications in a variety of fields of science and technology. Dedicated to Lotfi A. Zadeh on his one year death anniversary, the book goes beyond a pure commemorative text. Yet, it offers a fresh perspective on a number of relevant topics, such as computing with words, theory of perceptions, possibility theory, and decision-making in a fuzzy environment. Written by Zadeh's closest colleagues and friends, the different chapters are intended both as a timely reference guide and a source of inspiration for scientists, developers and researchers who have been dealing with fuzzy sets or would like to learn more about their potential for their future research.

International Conference on Artificial Intelligence: Advances and Applications 2019 - Proceedings of ICAIAA 2019 (Paperback,... International Conference on Artificial Intelligence: Advances and Applications 2019 - Proceedings of ICAIAA 2019 (Paperback, 1st ed. 2020)
Garima Mathur, Harish Sharma, Mahesh Bundele, Nilanjan Dey, Marcin Paprzycki
R5,614 Discovery Miles 56 140 Ships in 10 - 15 working days

This book introduces research presented at the "International Conference on Artificial Intelligence: Advances and Applications-2019 (ICAIAA 2019)," a two-day conference and workshop bringing together leading academicians, researchers as well as students to share their experiences and findings on all aspects of engineering applications of artificial intelligence. The book covers research in the areas of artificial intelligence, machine learning, and deep learning applications in health care, agriculture, business and security. It also includes research in core concepts of computer networks, intelligent system design and deployment, real-time systems, WSN, sensors and sensor nodes, SDN and NFV. As such it is a valuable resource for students, academics and practitioners in industry working on AI applications.

Interference Calculus - A General Framework for Interference Management and Network Utility Optimization (Hardcover, 2012):... Interference Calculus - A General Framework for Interference Management and Network Utility Optimization (Hardcover, 2012)
Martin Schubert, Holger Boche
R2,892 Discovery Miles 28 920 Ships in 10 - 15 working days

This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of general interference functions, which provides a simple means of characterizing interdependencies between users. The entire analysis builds on the two core axioms scale-invariance and monotonicity.
The proposed network calculus has its roots in power control theory and wireless communications. It adds theoretical tools for analyzing the typical behavior of interference-coupled networks. In this way it complements existing game-theoretic approaches.
The framework should also be viewed in conjunction with optimization theory. There is a fruitful interplay between the theory of interference functions and convex optimization theory. By jointly exploiting the properties of interference functions, it is possible to design algorithms that outperform general-purpose techniques that only exploit convexity.
The title "network calculus" refers to the fact that the theory of interference functions constitutes a generic theoretical framework for the analysis of interference coupled systems. Certain operations within the framework are "closed," that is, combinations of interference functions are interference functions again. Also, certain properties are preserved under such operations. This, provides a methodology for analyzing different multiuser performance measures that can be expressed as interference functions or combinations of interference functions.

Due Date-Related Scheduling with Two Agents - Models and Algorithms (Paperback, 1st ed. 2020): Yunqiang Yin, Dujuan Wang,... Due Date-Related Scheduling with Two Agents - Models and Algorithms (Paperback, 1st ed. 2020)
Yunqiang Yin, Dujuan Wang, T.C.E. Cheng
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book provides an introduction to the models, methods, and results of some due date-related scheduling problems in the field of multiagent scheduling. In multiagent scheduling, two or more agents share a common processing resource and each agent wants to optimize its own objective function with respect to its own set of jobs. Since the agents have conflicting objective functions, they have to negotiate among themselves with regard to sharing the common resource to optimize their own objective functions. A key feature of due date-related scheduling concerns the way in which due dates are considered: they can be given parameters or decision variables. For the former case, the motivation stems from the need to improve inventory and production management. For the latter case, due date assignment becomes a challenging issue since the decision-maker has to balance inventory holding costs against the benefits of fulfifilling orders in time. As for due dates, this book addresses the following three different scenarios: (i) The due dates of the jobs from either one or both of the two agents are decision variables, which are determined using some due date assignment models; (ii) The due dates of jobs in each job set are considered as given parameters, whereas which due date corresponds to a given job needs to determine; and (iii) The due date of each job is exogenously given. When the last case is involved, the objective function of each agent is related to the number of just-in-time jobs that are completed exactly on their due dates. For each considered scenario, depending on the model settings, and on the objective function of each agent, this book addresses the complexity, and the design of efficient exact or approximated algorithms. This book aims at introducing the author's research achievements in due date-related scheduling with two agents. It is written for researchers and Ph.D. students working in scheduling theory and other members of scientific community who are interested in recent scheduling models. Our goal is to enable the reader to know about some new achievements on this topic.

Mathematics and Democracy - Recent Advances in Voting Systems and Collective Choice (Hardcover, 2006 ed.): Bruno Simeone,... Mathematics and Democracy - Recent Advances in Voting Systems and Collective Choice (Hardcover, 2006 ed.)
Bruno Simeone, Friedrich Pukelsheim
R4,501 Discovery Miles 45 010 Ships in 10 - 15 working days

In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.

Mathematical Research for Blockchain Economy - 1st International Conference MARBLE 2019, Santorini, Greece (Paperback, 1st ed.... Mathematical Research for Blockchain Economy - 1st International Conference MARBLE 2019, Santorini, Greece (Paperback, 1st ed. 2020)
Panos Pardalos, Ilias Kotsireas, Yike Guo, William Knottenbelt
R4,324 Discovery Miles 43 240 Ships in 10 - 15 working days

This book presents the best papers from the 1st International Conference on Mathematical Research for Blockchain Economy (MARBLE) 2019, held in Santorini, Greece. While most blockchain conferences and forums are dedicated to business applications, product development or Initial Coin Offering (ICO) launches, this conference focused on the mathematics behind blockchain to bridge the gap between practice and theory. Every year, thousands of blockchain projects are launched and circulated in the market, and there is a tremendous wealth of blockchain applications, from finance to healthcare, education, media, logistics and more. However, due to theoretical and technical barriers, most of these applications are impractical for use in a real-world business context. The papers in this book reveal the challenges and limitations, such as scalability, latency, privacy and security, and showcase solutions and developments to overcome them.

Efficient Auction Games - Theories, Algorithms and Applications in Smart Grids & Electric Vehicle Charging (Paperback, 1st ed.... Efficient Auction Games - Theories, Algorithms and Applications in Smart Grids & Electric Vehicle Charging (Paperback, 1st ed. 2020)
Zhongjing Ma, Suli Zou
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book focuses on the design of efficient & dynamic methods to allocate divisible resources under various auction mechanisms, discussing their applications in power & microgrid systems and the V2G & EV charging coordination problems in smart grids. It describes the design of dynamic methods for single-sided and double-sided auction games and presents a number of simulation cases verifying the performances of the proposed algorithms in terms of efficiency, convergence and computational complexity. Further, it explores the performances of certain auction mechanisms in a hierarchical structure and with large-scale agents, as well as the auction mechanisms for the efficient allocation of multi-type resources. Lastly, it generalizes the main and demonstrates their application in smart grids. This book is a valuable resource for researchers, engineers, and graduate students in the fields of optimization, game theory, auction mechanisms and smart grids interested in designing dynamic auction mechanisms to implement optimal allocation of divisible resources, especially electricity and other types of energy in smart grids.

Games and Dynamics in Economics - Essays in Honor of Akio Matsumoto (Paperback, 1st ed. 2020): Ferenc Szidarovszky, Gian-Italo... Games and Dynamics in Economics - Essays in Honor of Akio Matsumoto (Paperback, 1st ed. 2020)
Ferenc Szidarovszky, Gian-Italo Bischi
R3,371 Discovery Miles 33 710 Ships in 10 - 15 working days

This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly-but not solely-based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in this rapidly developing research area.

Nonclassical Logics and Their Applications - Post-proceedings of the 8th International Workshop on Logic and Cognition... Nonclassical Logics and Their Applications - Post-proceedings of the 8th International Workshop on Logic and Cognition (Paperback, 1st ed. 2020)
Shier Ju, Alessandra Palmigiano, Minghui Ma
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This edited book focuses on non-classical logics and their applications, highlighting the rapid advances and the new perspectives that are emerging in this area. Non-classical logics are logical formalisms that violate or go beyond classical logic laws, and their specific features make them particularly suited to describing and reason about aspects of social interaction. The richness and diversity of non-classical logics mean that this area is a natural catalyst for ideas and insights from many different fields, from information theory to game theory and business science. This volume is the post-proceedings of the 8th International Conference on Logic and Cognition, held at Sun Yat-Sen University Institute of Logic and Cognition (ILC) in Guangzhou, China in December 2016. The conference series started in 2001, and is organized by the ILC, often in collaboration with various international research groups. This eighth installment was jointly organized by ILC and Alessandra Palmigiano's Applied Logic research group. The conference series aims to foster the development of effective logical tools to study social behavior from a philosophical, cognitive and formal perspective in order to challenge the field of logic in ways that open up new and exciting research directions. Chapter "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms" of this book is available open access under a CC BY 4.0 license at link.springer.com

Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets (Paperback, 1st ed. 2020): Shuping Wan,... Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets (Paperback, 1st ed. 2020)
Shuping Wan, Jiuying Dong
R2,884 Discovery Miles 28 840 Ships in 10 - 15 working days

This is the first book to provide a comprehensive and systematic introduction to the ranking methods for interval-valued intuitionistic fuzzy sets, multi-criteria decision-making methods with interval-valued intuitionistic fuzzy sets, and group decision-making methods with interval-valued intuitionistic fuzzy preference relations. Including numerous application examples and illustrations with tables and figures and presenting the authors' latest research developments, it is a valuable resource for researchers and professionals in the fields of fuzzy mathematics, operations research, information science, management science and decision analysis.

Dialetheism and its Applications (Hardcover, 1st ed. 2019): Adam Rieger, Gareth Young Dialetheism and its Applications (Hardcover, 1st ed. 2019)
Adam Rieger, Gareth Young
R2,874 Discovery Miles 28 740 Ships in 10 - 15 working days

The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory. It includes contributions from some of the most respected scholars in the field, as well as from young, up-and-coming philosophers working on dialetheism. Moving from the fringes of philosophy to become a main player in debates concerning truth and the logical paradoxes, dialetheism has thrived since the publication of Graham Priest's In Contradiction, and several of the papers find their roots in a conference on dialetheism held in Glasgow to mark the 25th anniversary of Priest's book. The content presented here demonstrates the considerable body of work produced in this field in recent years. With a broad focus, this book also addresses the applications of dialetheism outside the more familiar area of the logical paradoxes, and includes pieces discussing the application of dialetheism in metaphysics, philosophy of language, and philosophy of mind.

Co-patenting: An Analytic Tool for Cooperative Research and Development (Paperback, 1st ed. 2020): Hiroyasu Inoue Co-patenting: An Analytic Tool for Cooperative Research and Development (Paperback, 1st ed. 2020)
Hiroyasu Inoue
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This is the first book that comprehensively analyses co-patenting in Japan and the U.S., which directly signifies collaborations between firms and inventors, using the methodology of network science. Network science approaches enable us to analyse the structures of co-patenting networks. In addition, generative models in network science estimate the probability of new connections between nodes, which enables us to discuss the temporal development of networks. On the other hand, regression analyses, which are broadly used in the field of economics, may be effective for determining what attributes are important for firms and inventors that are going to be connected, but such techniques cannot consider the complexity of networks. This book compiles a series of studies by the author on geographical location and co-patenting using data that were published in eight academic journal articles. This book gives the reader ideas about how we can utilize patent data to understand how firms and inventors collaborate under the effect of complex networks.

Game Theory (Paperback, 4th edition): Guillermo Owen Game Theory (Paperback, 4th edition)
Guillermo Owen
R2,825 Discovery Miles 28 250 Ships in 12 - 19 working days

Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields. It adds fresh chapters on subjects such as games with incomplete information and spatial games. Owen has expanded "Two-Person General-Sum Games" into two chapters, the second becoming "Two-Person Cooperative Games." There are new sections in the chapters "Two-Person Cooperative Games" and "Indices of Power," and there is new information throughout the book on non-cooperative games. "Game Theory" remains the only book to cover all salient aspects of this field that, having displaced Keynesian economics, is making inroads throughout the social sciences. The key features are: it explains work of 1994 Nobel Prize Winners; it provides full expansion of cooperative game theory sections; it covers games with incomplete information; it includes a spatial games section that features many illustrations; and, it includes an updated bibliography.

Frontiers of Dynamic Games - Game Theory and Management, St. Petersburg, 2019 (Paperback, 1st ed. 2020): Leon A. Petrosyan,... Frontiers of Dynamic Games - Game Theory and Management, St. Petersburg, 2019 (Paperback, 1st ed. 2020)
Leon A. Petrosyan, Vladimir V. Mazalov, Nikolay A Zenkevich
R2,877 Discovery Miles 28 770 Ships in 10 - 15 working days

This book includes papers presented at the ISDG12-GTM2019 International Meeting on Game Theory, as a joint meeting of the 12th International ISDG Workshop and the 13th "International Conference on Game Theory and Management", held in St. Petersburg in July 2019. The topics cover a wide range of game-theoretic models and include both theory and applications, including applications to management.

Affective Decision Making Under Uncertainty - Risk, Ambiguity and Black Swans (Paperback, 1st ed. 2020): Donald J. Brown Affective Decision Making Under Uncertainty - Risk, Ambiguity and Black Swans (Paperback, 1st ed. 2020)
Donald J. Brown
R2,382 Discovery Miles 23 820 Ships in 10 - 15 working days

This book is an exploration of the ubiquity of ambiguity in decision-making under uncertainty. It presents various essays on behavioral economics and behavioral finance that draw on the theory of Black Swans (Taleb 2010), which argues for a distinction between unprecedented events in our past and unpredictable events in our future. The defining property of Black Swan random events is that they are unpredictable, i.e., highly unlikely random events. In this text, Mandelbrot's (1972) operational definition of risky random unpredictable events is extended to Black Swan assets - assets for which the cumulative probability distribution or conditional probability distribution of random future asset returns is a power distribution. Ambiguous assets are assets for which the uncertainties of future returns are not risks. Consequently, there are two disjoint classes of Black Swan assets: Risky Black Swan assets and Ambiguous Black Swan assets, a new class of ambiguous assets with unpredictable random future outcomes. The text is divided into two parts, the first of which focuses on affective moods, introduces affective utility functions and discusses the ambiguity of Black Swans. The second part, which shifts the spotlight to affective equilibrium in asset markets, features chapters on affective portfolio analysis and Walrasian and Gorman Polar Form Equilibrium Inequalities. In order to gain the most from the book, readers should have completed the standard introductory graduate courses on microeconomics, behavioral finance, and convex optimization. The book is intended for advanced undergraduates, graduate students and post docs specializing in economic theory, experimental economics, finance, mathematics, computer science or data analysis.

Optimization Models and Methods for Equilibrium Traffic Assignment (Paperback, 1st ed. 2020): Alexander Krylatov, Victor... Optimization Models and Methods for Equilibrium Traffic Assignment (Paperback, 1st ed. 2020)
Alexander Krylatov, Victor Zakharov, Tero Tuovinen
R5,086 Discovery Miles 50 860 Ships in 10 - 15 working days

This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory. This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development.

A Course in Behavioral Economics (Paperback, 3rd edition): Erik Angner A Course in Behavioral Economics (Paperback, 3rd edition)
Erik Angner
R1,328 Discovery Miles 13 280 Ships in 9 - 17 working days

This textbook looks at decisions - how we make them, and what makes them good or bad. In this bestselling introduction, Erik Angner clearly lays out the theory of behavioral economics and explains the intuitions behind it. The book offers a rich tapestry of examples, exercises, and problems drawn from fields such as economics, management, marketing, political science, and public policy. It shows how to apply the principles of behavioral economics to improve your life and work - and to make the world a better place to boot. No advanced mathematics is required. This is an ideal textbook for students coming to behavioral economics from various fields. It can be used on its own in introductory courses, or in combination with other texts at advanced undergraduate and postgraduate levels. It is equally suitable for general readers who have been captivated by popular-science books on behavioral economics and want to know more about this intriguing subject. New to this Edition: - An updated chapter on behavioral policy and the nudge agenda. - Several new sections, for example on the economics of happiness. - Updated examples and exercises, with an expanded answer key - Refreshed ancillary resources make for a plug and play experience for instructors teaching behavioral economics for the first time.

Solutions Manual to Accompany Game Theory - An Introduction, Second Edition (Paperback, 2nd Edition): E. N. Barron Solutions Manual to Accompany Game Theory - An Introduction, Second Edition (Paperback, 2nd Edition)
E. N. Barron
R928 Discovery Miles 9 280 Ships in 12 - 19 working days

An invaluable study aid for students of game theory Solutions Manual to accompany Game Theory: An Introduction, 2nd Edition provides complete explanations and fully worked solutions for the problems posed in the text. Although designed as a supplement to Game Theory, this solutions guide is versatile enough to act as an independent review of key topics, regardless of which textbook you are using. Each solution includes the original question as well as all given data, and clear, concise language describes the approach and reasoning that yields the correct solution.

Cyber-Security in Critical Infrastructures - A Game-Theoretic Approach (Paperback, 1st ed. 2020): Stefan Rass, Stefan Schauer,... Cyber-Security in Critical Infrastructures - A Game-Theoretic Approach (Paperback, 1st ed. 2020)
Stefan Rass, Stefan Schauer, Sandra Koenig, Quanyan Zhu
R5,091 Discovery Miles 50 910 Ships in 10 - 15 working days

This book presents a compendium of selected game- and decision-theoretic models to achieve and assess the security of critical infrastructures. Given contemporary reports on security incidents of various kinds, we can see a paradigm shift to attacks of an increasingly heterogeneous nature, combining different techniques into what we know as an advanced persistent threat. Security precautions must match these diverse threat patterns in an equally diverse manner; in response, this book provides a wealth of techniques for protection and mitigation. Much traditional security research has a narrow focus on specific attack scenarios or applications, and strives to make an attack "practically impossible." A more recent approach to security views it as a scenario in which the cost of an attack exceeds the potential reward. This does not rule out the possibility of an attack but minimizes its likelihood to the least possible risk. The book follows this economic definition of security, offering a management scientific view that seeks a balance between security investments and their resulting benefits. It focuses on optimization of resources in light of threats such as terrorism and advanced persistent threats. Drawing on the authors' experience and inspired by real case studies, the book provides a systematic approach to critical infrastructure security and resilience. Presenting a mixture of theoretical work and practical success stories, the book is chiefly intended for students and practitioners seeking an introduction to game- and decision-theoretic techniques for security. The required mathematical concepts are self-contained, rigorously introduced, and illustrated by case studies. The book also provides software tools that help guide readers in the practical use of the scientific models and computational frameworks.

Games in Management Science - Essays in Honor of Georges Zaccour (Paperback, 1st ed. 2020): Pierre-Olivier Pineau, Simon Sigue,... Games in Management Science - Essays in Honor of Georges Zaccour (Paperback, 1st ed. 2020)
Pierre-Olivier Pineau, Simon Sigue, Sihem Taboubi
R2,915 Discovery Miles 29 150 Ships in 10 - 15 working days

This book covers a large spectrum of cutting-edge game theory applications in management science in which Professor Georges Zaccour has made significant contributions. The book consists of 21 chapters and highlights the latest treatments of game theory in various areas, including marketing, supply chains, energy and environmental management, and cyber defense. With this book, former Ph.D. students and successful research collaborators of Professor Zaccour wish to honor his many scientific achievements.

On Numbers and Games (Hardcover, Revised): John H. Conway On Numbers and Games (Hardcover, Revised)
John H. Conway
R5,428 Discovery Miles 54 280 Ships in 9 - 17 working days

ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

Epistemic Logic and the Theory of Games and Decisions (Hardcover, 1997 ed.): M. Bacharach, Louis-Andre Gerard-Varet, Philippe... Epistemic Logic and the Theory of Games and Decisions (Hardcover, 1997 ed.)
M. Bacharach, Louis-Andre Gerard-Varet, Philippe Mongin, H.S. Shin
R6,548 Discovery Miles 65 480 Ships in 10 - 15 working days

This book arose out of a conference on "Epistemic Logic and the Theory of Games and Decisions" that took place in January 1994 at the Centre Inter- national de Recherches Mathematiques in Marseille. The convergence of game theory and epistemic logic has been in progress for two decades. The aim of the conference was to explore this rapprochement further by gathering spe- cialists from different professional communities, i. e. , economics, mathematics, philosophy, and computer science. Also, the organizors aimed at fostering the work centered on the issues of knowledge and belief that has recently been pursued amongst game theorists and decision theorists. The conference was funded by the following institutions: Centre National de la Recherche Sci- entifique (France), Ministere de l'Enseignement Superieur et de la Recherche (France), Association pour Ie Developpement de la Recherche en Economie et Statistique (France). It was also supported by the Human Capital and Mobility Programme of the EU, as well as, locally, by the Ville de Marseille. We would like to express our gratitude to these institutions for their generous help. Despite the success of the conference, it was not the editors' intention to circulate just another volume of proceedings in the usual style. Throughout the more than two-year editorial process, they have pursued the goal of providing a no doubt non-exhaustive, but hopefully thorough and accurate, state of the art account of a promising field of research.

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