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

Decision and Game Theory for Security - 8th International Conference, GameSec 2017, Vienna, Austria, October 23-25, 2017,... Decision and Game Theory for Security - 8th International Conference, GameSec 2017, Vienna, Austria, October 23-25, 2017, Proceedings (Paperback, 1st ed. 2017)
Stefan Rass, Boan, Christopher Kiekintveld, Fei Fang, Stefan Schauer
R1,476 Discovery Miles 14 760 Ships in 18 - 22 working days

This book constitutes the refereed proceedings of the 8th International Conference on Decision and Game Theory for Security, GameSec 2017, held in Vienna, Austria, in October 2017. The 24 revised full papers presented together with 4 short papers were carefully reviewed and selected from 71 submissions.The papers address topics such as Game theory and mechanism design for security and privacy; Pricing and economic incentives for building dependable and secure systems; Dynamic control, learning, and optimization and approximation techniques; Decision making and decision theory for cybersecurity and security requirements engineering; Socio-technological and behavioral approaches to security; Risk assessment and risk management; Security investment and cyber insurance; Security and privacy for the Internet-of-Things (IoT), cyber-physical systems, resilient control systems; New approaches for security and privacy in cloud computing and for critical infrastructure; Security and privacy of wireless and mobile communications, including user location privacy; Game theory for intrusion detection; and Empirical and experimental studies with game-theoretic or optimization analysis for security and privacy.

Operations Research Proceedings 2015 - Selected Papers of the International Conference of the German, Austrian and Swiss... Operations Research Proceedings 2015 - Selected Papers of the International Conference of the German, Austrian and Swiss Operations Research Societies (GOR, OEGOR, SVOR/ASRO), University of Vienna, Austria, September 1-4, 2015 (Paperback, 1st ed. 2017)
Karl Franz Doerner, Ivana Ljubic, Georg Pflug, Gernot Tragler
R4,129 Discovery Miles 41 290 Ships in 18 - 22 working days

This book gathers a selection of refereed papers presented at the "International Conference on Operations Research OR2015," which was held at the University of Vienna, Austria, September 1-4, 2015. Over 900 scientists and students from 50 countries attended this conference and presented more than 600 papers in parallel topic streams as well as special award sessions. Though the guiding theme of the conference was "Optimal Decision and Big Data," this volume also includes papers addressing practically all aspects of modern Operations Research.

Decision and Game Theory for Security - 6th International Conference, GameSec 2015, London, UK, November 4-5, 2015, Proceedings... Decision and Game Theory for Security - 6th International Conference, GameSec 2015, London, UK, November 4-5, 2015, Proceedings (Paperback, 1st ed. 2015)
Arman (MHR) Khouzani, Emmanouil Panaousis, George Theodorakopoulos
R2,375 Discovery Miles 23 750 Ships in 18 - 22 working days

This book constitutes the refereed proceedings of the 6th International Conference on Decision and Game Theory for Security, GameSec 2015, held in London, UK, in November 2015. The 16 revised full papers presented together with 5 short papers were carefully reviewed and selected from 37 submissions. Game and decision theory has emerged as a valuable systematic framework with powerful analytical tools in dealing with the intricacies involved in making sound and sensible security decisions. For instance, game theory provides methodical approaches to account for interdependencies of security decisions, the role of hidden and asymmetric information, the perception of risks and costs in human behaviour, the incentives/limitations of the attackers, and much more. Combined with our classical approach to computer and network security, and drawing from various fields such as economic, social and behavioural sciences, game and decision theory is playing a fundamental role in the development of the pillars of the "science of security".

Group Decision and Negotiation: Theory, Empirical Evidence, and Application - 16th International Conference, GDN 2016,... Group Decision and Negotiation: Theory, Empirical Evidence, and Application - 16th International Conference, GDN 2016, Bellingham, WA, USA, June 20-24, 2016, Revised Selected Papers (Paperback, 1st ed. 2017)
Deepinder Bajwa, Sabine T. Koeszegi, Rudolf Vetschera
R1,868 Discovery Miles 18 680 Ships in 18 - 22 working days

This book constitutes revised selected papers from the 16th International Conference on Group Decision and Negotiation, GDN 2016, held in Bellingham, WA, USA, in June 2016. The GDN meetings aim to bring together researchers and practitioners from a wide spectrum of fields, including economics, management, computer science, engineering, and decision science. The 12 papers presented in this volume were carefully reviewed and selected from 70 submissions. They deal with the fundamental part of all decision processes and individual preferences; the situations of group decision making; the collective decision making in situations characterized by a higher level of conflict; and the group processes and negotiations in different subject areas.

Decision and Game Theory for Security - 7th International Conference, GameSec 2016, New York, NY, USA, November 2-4, 2016,... Decision and Game Theory for Security - 7th International Conference, GameSec 2016, New York, NY, USA, November 2-4, 2016, Proceedings (Paperback, 1st ed. 2016)
Quanyan Zhu, Tansu Alpcan, Emmanouil Panaousis, Milind Tambe, William Casey
R2,661 Discovery Miles 26 610 Ships in 18 - 22 working days

This book constitutes the refereed proceedings of the 7th International Conference on Decision and Game Theory for Security, GameSec 2016, held in New York, NY, USA, in November 2016. The 18 revised full papers presented together with 8 short papers and 5 poster papers were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on network security; security risks and investments; special track-validating models; decision making for privacy; security games; incentives and cybersecurity mechanisms; and intrusion detection and information limitations in security.

Sociophysics - A Physicist's Modeling of Psycho-political Phenomena (Paperback, Softcover reprint of the original 1st ed.... Sociophysics - A Physicist's Modeling of Psycho-political Phenomena (Paperback, Softcover reprint of the original 1st ed. 2012)
Serge Galam
R5,890 Discovery Miles 58 900 Ships in 18 - 22 working days

Do humans behave much like atoms? Sociophysics, which uses tools and concepts from the physics of disordered matter to describe some aspects of social and political behavior, answers in the affirmative. But advocating the use of models from the physical sciences to understand human behavior could be perceived as tantamount to dismissing the existence of human free will and also enabling those seeking manipulative skills . This thought-provoking book argues it is just the contrary. Indeed, future developments and evaluation will either show sociophysics to be inadequate, thus supporting the hypothesis that people can primarily be considered to be free agents, or valid, thus opening the path to a radically different vision of society and personal responsibility. This book attempts to explain why and how humans behave much like atoms, at least in some aspects of their collective lives, and then proposes how this knowledge can serve as a unique key to a dramatic leap forwards in achieving more social freedom in the real world. At heart, sociophysics and this book are about better comprehending the richness and potential of our social interaction, and so distancing ourselves from inanimate atoms.

Measurement and Probability - A Probabilistic Theory of Measurement with Applications (Paperback, Softcover reprint of the... Measurement and Probability - A Probabilistic Theory of Measurement with Applications (Paperback, Softcover reprint of the original 1st ed. 2014)
Giovanni Battista Rossi
R3,398 Discovery Miles 33 980 Ships in 18 - 22 working days

Measurement plays a fundamental role both in physical and behavioral sciences, as well as in engineering and technology: it is the link between abstract models and empirical reality and is a privileged method of gathering information from the real world. Is it possible to develop a single theory of measurement for the various domains of science and technology in which measurement is involved? This book takes the challenge by addressing the following main issues: What is the meaning of measurement? How do we measure? What can be measured? A theoretical framework that could truly be shared by scientists in different fields, ranging from physics and engineering to psychology is developed. The future in fact will require greater collaboration between science and technology and between different sciences. Measurement, which played a key role in the birth of modern science, can act as an essential interdisciplinary tool and language for this new scenario. A sound theoretical basis for addressing key problems in measurement is provided. These include perceptual measurement, the evaluation of uncertainty, the evaluation of inter-comparisons, the analysis of risks in decision-making and the characterization of dynamical measurement. Currently, increasing attention is paid to these issues due to their scientific, technical, economic and social impact. The book proposes a unified probabilistic approach to them which may allow more rational and effective solutions to be reached. Great care was taken to make the text as accessible as possible in several ways. Firstly, by giving preference to as interdisciplinary a terminology as possible; secondly, by carefully defining and discussing all key terms. This ensures that a wide readership, including people from different mathematical backgrounds and different understandings of measurement can all benefit from this work. Concerning mathematics, all the main results are preceded by intuitive discussions and illustrated by simple examples. Moreover, precise proofs are always included in order to enable the more demanding readers to make conscious and creative use of these ideas, and also to develop new ones. The book demonstrates that measurement, which is commonly understood to be a merely experimental matter, poses theoretical questions which are no less challenging than those arising in other, apparently more theoretical, disciplines.

Game Theoretic Analysis of Congestion, Safety and Security - Networks, Air Traffic and Emergency Departments (Paperback,... Game Theoretic Analysis of Congestion, Safety and Security - Networks, Air Traffic and Emergency Departments (Paperback, Softcover reprint of the original 1st ed. 2015)
Kjell Hausken, Jun Zhuang
R2,692 Discovery Miles 26 920 Ships in 18 - 22 working days

Maximizing reader insights into the roles of intelligent agents in networks, air traffic and emergency departments, this volume focuses on congestion in systems where safety and security are at stake, devoting special attention to applying game theoretic analysis of congestion to: protocols in wired and wireless networks; power generation, air transportation and emergency department overcrowding. Reviewing exhaustively the key recent research into the interactions between game theory, excessive crowding, and safety and security elements, this book establishes a new research angle by illustrating linkages between the different research approaches and serves to lay the foundations for subsequent analysis. Congestion (excessive crowding) is defined in this work as all kinds of flows; e.g., road/sea/air traffic, people, data, information, water, electricity, and organisms. Analysing systems where congestion occurs - which may be in parallel, series, interlinked, or interdependent, with flows one way or both ways - this book puts forward new congestion models, breaking new ground by introducing game theory and safety/security into proceedings. Addressing the multiple actors who may hold different concerns regarding system reliability; e.g. one or several terrorists, a government, various local or regional government agencies, or others with stakes for or against system reliability, this book describes how governments and authorities may have the tools to handle congestion, but that these tools need to be improved whilst additionally ensuring safety and security against various threats. This game-theoretic analysis sets this two volume book apart from the current congestion literature and ensures that the work will be of use to postgraduates, researchers, 3rd/4th-year undergraduates, policy makers, and practitioners.

Econophysics & Economics of Games, Social Choices and Quantitative Techniques (Paperback, Softcover reprint of the original 1st... Econophysics & Economics of Games, Social Choices and Quantitative Techniques (Paperback, Softcover reprint of the original 1st ed. 2010)
Banasri Basu, Bikas K. Chakrabarti, Satya R. Chakravarty, Kausik Gangopadhyay
R4,268 Discovery Miles 42 680 Ships in 18 - 22 working days

Econophysics of Games and Social Choices.- Kolkata Paise Restaurant Problem in Some Uniform Learning Strategy Limits.- Cycle Monotonicity in Scheduling Models.- Reinforced Learning in Market Games.- Mechanisms Supporting Cooperation for the Evolutionary Prisoner's Dilemma Games.- Economic Applications of Quantum Information Processing.- Using Many-Body Entanglement for Coordinated Action in Game Theory Problems.- Condensation Phenomena and Pareto Distribution in Disordered Urn Models.- Economic Interactions and the Distribution of Wealth.- Wealth Redistribution in Boltzmann-like Models of Conservative Economies.- Multi-species Models in Econo- and Sociophysics.- The Morphology of Urban Agglomerations for Developing Countries: A Case Study with China.- A Mean-Field Model of Financial Markets: Reproducing Long Tailed Distributions and Volatility Correlations.- Statistical Properties of Fluctuations: A Method to Check Market Behavior.- Modeling Saturation in Industrial Growth.- The Kuznets Curve and the Inequality Process.- Monitoring the Teaching - Learning Process via an Entropy Based Index.- Technology Level in the Industrial Supply Chain: Thermodynamic Concept.- Discussions and Comments in Econophys Kolkata IV.- Contributions to Quantitative Economics.- On Multi-Utility Representation of Equitable Intergenerational Preferences.- Variable Populations and Inequality-Sensitive Ethical Judgments.- A Model of Income Distribution.- Statistical Database of the Indian Economy: Need for New Directions.- Does Parental Education Protect Child Health? Some Evidence from Rural Udaipur.- Food Security and Crop Diversification: Can West Bengal Achieve Both?.- Estimating Equivalence Scales Through Engel Curve Analysis.- Testing for Absolute Convergence: A Panel Data Approach.- Goodwin's Growth Cycles: A Reconsideration.- Human Capital Accumulation, Economic Growth and Educational Subsidy Policy in a Dual Economy.- Arms Trade and Conflict Resolution: A Trade-Theoretic Analysis.- Trade andWage Inequality with Endogenous Skill Formation.- Dominant Strategy Implementation in Multi-unit Allocation Problems.- Allocation through Reduction on Minimum Cost Spanning Tree Games.- Unmediated and Mediated Communication Equilibria of Battle of the Sexes with Incomplete Information.- A Characterization Result on the Coincidence of the Prenucleolus and the Shapley Value.- The Ordinal Equivalence of the Johnston Index and the Established Notions of Power.- Reflecting on Market Size and Entry under Oligopoly.

Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers (Paperback, Softcover reprint of... Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers (Paperback, Softcover reprint of the original 1st ed. 2016)
Deng-Feng LI
R1,846 Discovery Miles 18 460 Ships in 18 - 22 working days

This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.

Economics and Computation - An Introduction to Algorithmic Game Theory, Computational Social Choice, and Fair Division... Economics and Computation - An Introduction to Algorithmic Game Theory, Computational Social Choice, and Fair Division (Paperback, Softcover reprint of the original 1st ed. 2016)
Joerg Rothe; Illustrated by Irene Rothe
R4,039 Discovery Miles 40 390 Ships in 18 - 22 working days

This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.

Fundamentals of Evolutionary Game Theory and its Applications (Paperback, Softcover reprint of the original 1st ed. 2015): Jun... Fundamentals of Evolutionary Game Theory and its Applications (Paperback, Softcover reprint of the original 1st ed. 2015)
Jun Tanimoto
R3,661 Discovery Miles 36 610 Ships in 18 - 22 working days

This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2x2 game" in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2x2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2x2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.

Game Theory and Its Applications (Paperback, Softcover reprint of the original 1st ed. 2016): Akio Matsumoto, Ferenc... Game Theory and Its Applications (Paperback, Softcover reprint of the original 1st ed. 2016)
Akio Matsumoto, Ferenc Szidarovszky
R3,582 Discovery Miles 35 820 Ships in 18 - 22 working days

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.

The Making of Experimental Economics - Witness Seminar on the Emergence of a Field (Paperback, Softcover reprint of the... The Making of Experimental Economics - Witness Seminar on the Emergence of a Field (Paperback, Softcover reprint of the original 1st ed. 2016)
Andrej Svorencik, Harro Maas
R3,282 Discovery Miles 32 820 Ships in 18 - 22 working days

This book is the transcript of a witness seminar on the history of experimental economics, in which eleven high-profile experimental economists participated, including Nobel Laureates Vernon Smith, Reinhard Selten and Alvin Roth. The witness seminar was constructed along four different topics: skills, community, laboratory, and funding. The transcript is preceded by an introduction explaining the method of the witness seminar and its specific set-up and resuming its results. The participants' contribution and their lively discussion provide a wealth of insights into the emergence of experimental economics as a field of research. This book was awarded with best book prize of the European Society for the History of Economic Thought (ESHET) in 2018.

Econophysics of Agent-Based Models (Paperback, Softcover reprint of the original 1st ed. 2014): Frederic Abergel, Hideaki... Econophysics of Agent-Based Models (Paperback, Softcover reprint of the original 1st ed. 2014)
Frederic Abergel, Hideaki Aoyama, Bikas K. Chakrabarti, Anirban Chakraborti, Asim Ghosh
R4,789 Discovery Miles 47 890 Ships in 18 - 22 working days

The primary goal of this book is to present the research findings and conclusions of physicists, economists, mathematicians and financial engineers working in the field of "Econophysics" who have undertaken agent-based modelling, comparison with empirical studies and related investigations. Most standard economic models assume the existence of the representative agent, who is "perfectly rational" and applies the utility maximization principle when taking action. One reason for this is the desire to keep models mathematically tractable: no tools are available to economists for solving non-linear models of heterogeneous adaptive agents without explicit optimization. In contrast, multi-agent models, which originated from statistical physics considerations, allow us to go beyond the prototype theories of traditional economics involving the representative agent. This book is based on the Econophys-Kolkata VII Workshop, at which many such modelling efforts were presented. In the book, leading researchers in their fields report on their latest work, consider recent developments and review the contemporary literature.

Physics, Nature and Society - A Guide to Order and Complexity in Our World (Paperback, Softcover reprint of the original 1st... Physics, Nature and Society - A Guide to Order and Complexity in Our World (Paperback, Softcover reprint of the original 1st ed. 2014)
Joaquin Marro
R1,421 R1,300 Discovery Miles 13 000 Save R121 (9%) Ships in 18 - 22 working days

This wide-ranging and accessible book serves as a fascinating guide to the strategies and concepts that help us understand the boundaries between physics, on the one hand, and sociology, economics, and biology on the other. From cooperation and criticality to flock dynamics and fractals, the author addresses many of the topics belonging to the broad theme of complexity. He chooses excellent examples (requiring no prior mathematical knowledge) to illuminate these ideas and their implications. The lively style and clear description of the relevant models will appeal both to novices and those with an existing knowledge of the field.

Operations Research Problems - Statements and Solutions (Paperback, Softcover reprint of the original 1st ed. 2014): Raul... Operations Research Problems - Statements and Solutions (Paperback, Softcover reprint of the original 1st ed. 2014)
Raul Poler, Josefa Mula, Manuel Diaz-Madronero
R2,636 Discovery Miles 26 360 Ships in 18 - 22 working days

The objective of this book is to provide a valuable compendium of problems as a reference for undergraduate and graduate students, faculty, researchers and practitioners of operations research and management science. These problems can serve as a basis for the development or study of assignments and exams. Also, they can be useful as a guide for the first stage of the model formulation, i.e. the definition of a problem. The book is divided into 11 chapters that address the following topics: Linear programming, integer programming, non linear programming, network modeling, inventory theory, queue theory, tree decision, game theory, dynamic programming and markov processes. Readers are going to find a considerable number of statements of operations research applications for management decision-making. The solutions of these problems are provided in a concise way although all topics start with a more developed resolution. The proposed problems are based on the research experience of the authors in real-world companies so much as on the teaching experience of the authors in order to develop exam problems for industrial engineering and business administration studies.

Agent-Based Modelling of Social Networks in Labour-Education Market System (Paperback, 1st ed. 2016): Alexander Tarvid Agent-Based Modelling of Social Networks in Labour-Education Market System (Paperback, 1st ed. 2016)
Alexander Tarvid
R1,635 Discovery Miles 16 350 Ships in 18 - 22 working days

This book covers the modelling of human behaviour in the education and labour markets, which due to their interdependency are viewed as one system. Important factors influencing the decision-making of individuals and firms in this system are discussed. The role of social environment and networks is stressed. The approach of agent-based modelling is presented and compared with standard economic modelling and other simulation techniques in the context of modelling complex adaptive systems. Practical questions in building agent-based models of labour-education market system with social networks are discussed. These questions include modelling the structure of education system and agent behaviour there; modelling and calibrating the labour market without and with firms; generating the social network, defining its behaviour and calibrating it; and embedding the resulting system into a larger model.

Game Theory - A Multi-Leveled Approach (Paperback, Softcover reprint of the original 2nd ed. 2015): Hans Peters Game Theory - A Multi-Leveled Approach (Paperback, Softcover reprint of the original 2nd ed. 2015)
Hans Peters
R3,053 Discovery Miles 30 530 Ships in 18 - 22 working days

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Nonstandard Analysis for the Working Mathematician (Paperback, Softcover reprint of the original 2nd ed. 2015): Peter A. Loeb,... Nonstandard Analysis for the Working Mathematician (Paperback, Softcover reprint of the original 2nd ed. 2015)
Peter A. Loeb, Manfred P.H. Wolff
R4,153 Discovery Miles 41 530 Ships in 18 - 22 working days

Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a 'secret weapon' by those who know the technique. This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler's internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems. All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.

Non-Cooperative Game Theory (Paperback, Softcover reprint of the original 1st ed. 2015): Takako Fujiwara-Greve Non-Cooperative Game Theory (Paperback, Softcover reprint of the original 1st ed. 2015)
Takako Fujiwara-Greve
R2,305 Discovery Miles 23 050 Ships in 18 - 22 working days

This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner's dilemma, chicken (hawk-dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner's dilemma, so that readers familiar with basic game theory can expand their knowledge. The author's own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Evolutionary Games in Natural, Social, and Virtual Worlds (Hardcover): Daniel Friedman, Barry Sinervo Evolutionary Games in Natural, Social, and Virtual Worlds (Hardcover)
Daniel Friedman, Barry Sinervo
R3,030 Discovery Miles 30 300 Ships in 10 - 15 working days

Over the last 25 years, evolutionary game theory has grown with theoretical contributions from the disciplines of mathematics, economics, computer science and biology. It is now ripe for applications. In this book, Daniel Friedman--an economist trained in mathematics--and Barry Sinervo--a biologist trained in mathematics--offer the first unified account of evolutionary game theory aimed at applied researchers. They show how to use a single set of tools to build useful models for three different worlds: the natural world studied by biologists; the social world studied by anthropologists, economists, political scientists and others; and the virtual world built by computer scientists and engineers. The first six chapters offer an accessible introduction to core concepts of evolutionary game theory. These include fitness, replicator dynamics, sexual dynamics, memes and genes, single and multiple population games, Nash equilibrium and evolutionarily stable states, noisy best response and other adaptive processes, the Price equation, and cellular automata. The material connects evolutionary game theory with classic population genetic models, and also with classical game theory. Notably, these chapters also show how to estimate payoff and choice parameters from the data. The last eight chapters present exemplary game theory applications. These include a new coevolutionary predator-prey learning model extending rock-paper-scissors; models that use human subject laboratory data to estimate learning dynamics; new approaches to plastic strategies and life cycle strategies, including estimates for male elephant seals; a comparison of machine learning techniques for preserving diversity to those seen in the natural world; analyses of congestion in traffic networks (either internet or highways) and the "price of anarchy "; environmental and trade policy analysis based on evolutionary games; the evolution of cooperation; and speciation. As an aid for instruction, a web site provides downloadable computational tools written in the R programming language, Matlab, Mathematica and Excel.

Decision Theory and Choices: a Complexity Approach (Paperback, Softcover reprint of the original 1st ed. 2010): Marisa Faggini,... Decision Theory and Choices: a Complexity Approach (Paperback, Softcover reprint of the original 1st ed. 2010)
Marisa Faggini, Concetto Paolo Vinci
R2,879 Discovery Miles 28 790 Ships in 18 - 22 working days

In economics agents are assumed to choose on the basis of rational calculations aimed at the maximization of their pleasure or profit. Formally, agents are said to manifest transitive and consistent preferences in attempting to maximize their utility in the presence of several constraints. They operate according to the choice imperative: given a set of alternatives, choose the best. This imperative works well in a static and simplistic framework, but it may fail or vary when 'the best' is changing continuously. This approach has been questioned by a descriptive approach that springing from the complexity theory tries to give a scientific basis to the way in which individuals really choose, showing that those models of human nature is routinely falsified by experiments since people are neither selfish nor rational. Thus inductive rules of thumb are usually implemented in order to make decisions in the presence of incomplete and heterogeneous information sets.

Selected Aspects of Fractional Brownian Motion (Paperback, Softcover reprint of the original 1st ed. 2012): Ivan Nourdin Selected Aspects of Fractional Brownian Motion (Paperback, Softcover reprint of the original 1st ed. 2012)
Ivan Nourdin
R3,785 Discovery Miles 37 850 Ships in 18 - 22 working days

Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium- or long-memory property which is in sharp contrast with martingales and Markov processes. FBm has become a popular choice for applications where classical processes cannot model these non-trivial properties; for instance long memory, which is also known as persistence, is of fundamental importance for financial data and in internet traffic. The mathematical theory of fBm is currently being developed vigorously by a number of stochastic analysts, in various directions, using complementary and sometimes competing tools. This book is concerned with several aspects of fBm, including the stochastic integration with respect to it, the study of its supremum and its appearance as limit of partial sums involving stationary sequences, to name but a few. The book is addressed to researchers and graduate students in probability and mathematical statistics. With very few exceptions (where precise references are given), every stated result is proved.

The Doctrine of Chances - Probabilistic Aspects of Gambling (Paperback, Softcover reprint of the original 1st ed. 2010):... The Doctrine of Chances - Probabilistic Aspects of Gambling (Paperback, Softcover reprint of the original 1st ed. 2010)
Stewart N. Ethier
R3,024 Discovery Miles 30 240 Ships in 18 - 22 working days

Theory.- Review of Probability.- Conditional Expectation.- Martingales.- Markov Chains.- Game Theory.- House Advantage.- Gambler's Ruin.- Betting Systems.- Bold Play.- Optimal Proportional Play.- Card Theory.- Applications.- Slot Machines.- Roulette.- Keno.- Craps.- House-Banked Poker.- Video Poker.- Faro.- Baccarat.- Trente et Quarante.- Twenty-One.- Poker.

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Ada Nisbet Paperback R1,050 Discovery Miles 10 500
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Merlin Holland Paperback R506 R474 Discovery Miles 4 740
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