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Books > Science & Mathematics > Mathematics > Optimization > Game theory
Focal Points in Negotiation is the first work of its kind to analyze the use of focal points beyond the controlled setting of the laboratory or the stylized context of mathematical game theory, in the real world of negotiation. It demonstrates that there are many more ways focal points influence real life situations than the specific, predetermined roles ascribed to them by game theory and rational choice. The book establishes this by identifying the numerous different, often decisive, modes in which focal points function in the various phases of complex negotiations. In doing so, it also demonstrates the necessity of a thorough understanding of focal points for mediators, negotiators, and others. A scholarly work in nature, Focal Points in Negotiation is also suitable for use in the classroom and accessible for a multidisciplinary audience.
The scientific and technical development of any kind of germplasm is regulated by a vast network of treaties, conventions, international agreements, and national and regional legislation. These regulations govern biotechnological innovations in plants and microorganisms, access to and use of plant genetic resources, and biosafety. This complex mix has made it difficult to arrive at global interpretations, due to overlaps, gaps, ambiguities, contradictions, and lack of consistency. The big picture is even more complex, as a series of scientific developments - gene editing in particular - have in some cases rendered these international regulatory frameworks obsolete. This book puts forward an innovative approach: a "Comprehensive Plant Germplasm System". The System is a cooperative game theory-based proposal for a binding international convention which would supersede all other conventions, treaties, national and regional legislation covering native varieties and traditional developments, heterogeneous plant varieties, microorganisms, biotechnological inventions, plant genetic resources, and biosafety regulation. In short, it offers a comprehensive framework regarding intellectual property, biosafety, and business regulation and covers all types of germplasm. If applied, the system is expected to yield higher productivity rates in crops and improved food biodiversity, as well as a new paradigm based on the promotion of innovation for "Agriculture 4.0."
This book provides a comprehensive and practically minded introduction into serious games for law enforcement agencies. Serious games offer wide ranging benefits for law enforcement with applications from professional trainings to command-level decision making to the preparation for crises events. This book explains the conceptual foundations of virtual and augmented reality, gamification and simulation. It further offers practical guidance on the process of serious games development from user requirements elicitation to evaluation. The chapters are intended to provide principles, as well as hands-on knowledge to plan, design, test and apply serious games successfully in a law enforcement environment. A diverse set of case studies showcases the enormous variety that is possible in serious game designs and application areas and offers insights into concrete design decisions, design processes, benefits and challenges. The book is meant for law enforcement professionals interested in commissioning their own serious games as well as game designers interested in collaborative pedagogy and serious games for the law enforcement and security sector.
This book provides a state-of-the-art overview on the dynamics and coevolution in multi-level strategic interaction games. As such it summarizes the results of the European CONGAS project, which developed new mathematical models and tools for the analysis, prediction and control of dynamical processes in systems possessing a rich multi-level structure and a web of interwoven interactions among elements with autonomous decision-making capabilities. The framework is built around game theoretical concepts, in particular evolutionary and multi-resolution games, and includes also techniques drawn from graph theory, statistical mechanics, control and optimization theory. Specific attention is devoted to systems that are prone to intermittency and catastrophic events due to the effect of collective dynamics.
What motives underlie the ways humans interact socially? Are these the same for all societies? Are these part of our nature, or influenced by our environments? Over the last decade, research in experimental economics has emphatically falsified the textbook representation of Homo economicus. Hundreds of experiments suggest that people care not only about their own material payoffs, but also about such things as fairness, equity, and reciprocity. However, this research left fundamental questions unanswered: Are such social preferences stable components of human nature, or are they modulated by economic, social, and cultural environments? Until now, experimental research could not address this question because virtually all subjects had been university students. Combining ethnographic and experimental approaches to fill this gap, this book breaks new ground in reporting the results of a large cross-cultural study aimed at determining the sources of social (non-selfish) preferences that underlie the diversity of human sociality. In this study, the same experiments carried out with university students were performed in fifteen small-scale societies exhibiting a wide variety of social, economic, and cultural conditions. The results show that the variation in behaviour is far greater than previously thought, and that the differences between societies in market integration and the importance of cooperation explain a substantial portion of this variation, which individual-level economic and demographic variables could not. The results also trace the extent to which experimental play mirrors patterns of interaction found in everyday life. The book includes a succinct but substantive introduction to the use of game theory as an analytical tool, and to its use in the social sciences for the rigorous testing of hypotheses about fundamental aspects of social behaviour outside artificially constructed laboratories. The editors also summarize the results of the fifteen case studies in a suggestive chapter about the scope of the project.
Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk's Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito's stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers "Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades." - Peter Grunwald, CWI and University of Leiden "Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors." - Ioannis Karatzas, Columbia University
This book constitutes the refereed proceedings of the Second International Meeting on Innovation for Systems Information and Decision meeting, INSID 2020, held in Recife, Brazil, in December 2020. Due to the COVID-19 pandemic the conference was held virtually. The 8 papers presented in this volume were carefully reviewed and selected from a total of 84 submissions to the main conference. The selected papers reflect methodological improvements and advances in Multicriteria Decision-Making/Multicriteria Decision-Aid (MCDM/MCDA) oriented toward real-world applications and contribute to the understanding of relevant developments of current research on and future trends of Innovation for Systems Information and Decision.
Society has developed so that it accommodates the needs of intertwined people, but a question arises as to which people have been accommodated. Has everyone been taken care of in an equal manner? If not, who has fallen into the gap between the institutions that are supposed to accommodate them? This book is a study of these issues of economy and disability using game theory, which has provided a means of analyzing various social phenomena. Part I provides actual cases related to economy and disability, with the stories based on interviews by the author. Part II is geared toward a game theoretic analysis. This book explains disability-related issues by game theory and innovates that theory by deeply contemplating the issues. It is not common that first-rate theorists manage to make their research relevant and applicable to the most pressing problems our society faces these days. This is the remarkable achievement of this book. Akihiko Matsui, an internationally recognized leader in economic theory, succeeds in bringing profound game theoretical insights to the questions of disability, the social norms relating to it, and the ethical and economic problems they raise. The book is a tour de force, brilliantly combining economic and sociology, mathematics and philosophy, to provide us a fresh look at the way we run modern societies. Itzahk Gilboa, Professor, Eitan Berglas School of Economics, Tel-Aviv University and Professor of Economics and Decision Sciences, HEC, Paris The present world faces a broad range of societal problems such as discrimination against minorities and conflicts between groups. The market mechanism may solve some of these dilemmas, but many others remain. This book targets various societal problems and provides game theoretical approaches to them, stressing the importance of social institutions including the market system and individual interactive attitudes to society. Aki Matsui's splendid Economy and Disability is indispensable for students and scholars interested in social science, particularly in economic theory, and gives a better understanding of these phenomena and their potential cures. Mamoru Kaneko, Professor, Faculty of Political Science and Economics, Waseda University In this book, Aki Matsui is revealed to be a fully-fledged humanist in the guise of a game theoretician. He beautifully presents game-theoretical ideas while at the same time suggesting how society should relate to the disabled. This unique combination makes Economy and Disability-apart from anything else-a truly moving book. Ariel Rubinstein, Professor of Economics, Eitan Berglas School of Economics, Tel-Aviv University and Professor of Economics, New York University
This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.
Diese etablierte Formelsammlung enthalt und erklart statistische Formeln, wie sie in den Wirtschaftswissenschaften und in der wirtschaftswissenschaftlichen Praxis fundamental notwendig sind. Das Verstandnis der Formeln und deren praktische Anwendung werden durch nutzliche Hilfen und verstandliche Beispiele sinnvoll unterstutzt, so dass der Kontext wirtschaftsstatistischer Formeln klar und allgemein verstandlich erklart dargestellt wird. Diese Formelsammlung ist ein unverzichtbares Tool fur Studierende der Wirtschaftswissenschaften, aber auch ein nutzliches Nachschlagewerk fur Verantwortliche aus Wirtschaft, Politik und Lehre. In der 5. Auflage wurden die Inhalte uberarbeitet und erganzt.
There has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field games, mean field type control and nonlinear Markov games. Exhibiting various real world problems involving major and minor agents, this book presents a systematic continuous-space approximation approach for mean-field interacting agents models and mean-field games models. After describing Markov-chain methodology and a modeling of mean-field interacting systems, the text presents various structural conditions on the chain to yield respective socio-economic models, focusing on migration models via binary interactions. The specific applications are wide-ranging - including inspection and corruption, cyber-security, counterterrorism, coalition building and network growth, minority games, and investment policies and optimal allocation - making this book relevant to a wide audience of applied mathematicians interested in operations research, computer science, national security, economics, and finance.
This book shows how to model selected communication scenarios using game theory. The book helps researchers specifically dealing with scenarios motivated by the increasing use of the Internet of Things (IoT) and 5G Communications by using game theory to approach the study of such challenging scenarios. The author explains how game theory acts as a mathematical tool that models decision making in terms of strategies and mechanisms that can result in optimal payoffs for a number of interacting entities, offering often antagonistic behaviors. The book explores new technologies in terms of design, development and management from a theoretical perspective, using game theory to analyze strategic situations and demonstrate profitable behaviors of the cooperative entities. The book identifies and explores several significant applications/uses/situations that arise from the vast deployment of the IoT. The presentation of the technological scenarios is followed in each of the first four chapters by a step-by-step theoretical model often followed by equilibrium proof, and numerical simulation results, that are explained in a tutorial-like manner. The four chapters tackle challenging IoT and 5G related issues, including: new security threats that IoT brings, e.g. botnets, ad hoc vehicular networks and the need for trust in vehicular communications, content repetition by offloading traffic onto mobile users, as well as issues due to new wearable devices that enable data collection to become more intrusive.
Gathering the proceedings of the 11th CHAOS2018 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.
This collection of essays represents responses by over eighty scholars to an unusual request: give your high level assessment of the field of economic design, as broadly construed. Where do we come from? Where do we go from here? The book editors invited short, informal reflections expressing deeply felt but hard to demonstrate opinions, unsupported speculation, and controversial views of a kind one might not normally risk submitting for review. The contributors - both senior researchers who have shaped the field and promising, younger researchers - responded with a diverse collection of provocative pieces, including: retrospective assessments or surveys of the field; opinion papers; reflections on critical points for the development of the discipline; proposals for the immediate future; "science fiction"; and many more. The readers should have fun reading these unusual pieces - as much as the contributors enjoyed writing them.
This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.
This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students' skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.
This book addresses two disciplines that have traditionally occupied completely different realms: quantum information and computation, and game theory. Helping readers connect these fields, it appeals to a wide audience, including computer scientists, engineers, mathematicians, physicists, biologists or economists. The book is richly illustrated and basic concepts are accessible to readers with basic training in science. As such it is useful for undergraduate students as well as established academicians and researchers. Further, the didactic and tutorial-like style makes it ideal supplementary reading for courses on quantum information and computation, game theory, cellular automata and simulation.
This book is devoted to game theory and its applications to environmental problems, economics, and management. It collects contributions originating from the 12th International Conference on "Game Theory and Management" 2018 (GTM2018) held at Saint Petersburg State University, Russia, from 27 to 29 June 2018.
This book provides an overview of the concept of economic psychology from behavioral and mathematical perspectives and related theoretical and empirical findings. Economic psychology is defined briefly as a general term for descriptive theories to explain the psychological processes of microeconomic behaviors and macroeconomic phenomena. However, the psychological methodology and knowledge of economic psychology have also been applied widely in such fields as economics, business administration, and engineering, and they are expected to become increasingly useful in the future-a trend suggested in several eminent scholars' studies. The book explains the numerous behavioral and mathematical models of economic psychology related to micro- and macroeconomic phenomena that have been proposed in the past, and introduces new models that are useful to explain human economic behaviors. It concludes with speculations about the future of modern economic psychology, referring to its connection with fields related to neuroscience, such as neuroeconomics, which have been developed in recent years. Readers require no advanced expertise; nonetheless, an introductory understanding of psychology, business administration, and economics, and a high- school-graduate level of mathematics are useful. To aid readers, each chapter includes a bibliography, which can be referred for more details related to economic psychology.
A Beautiful Mind is Sylvia Nasar's award-winning biography about the mystery of the human mind, the triumph over incredible adversity, and the healing power of love. At the age of thirty-one, John Nash, mathematical genius, suffered a devastating breakdown and was diagnosed with schizophrenia. Yet after decades of leading a ghost-like existence, he was to re-emerge to win a Nobel Prize and world acclaim. A Beautiful Mind has inspired the Oscar-winning film directed by Ron Howard and featuring Russell Crowe in the lead role of John Nash.
Every form of behavior is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realized how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centered not on the concept of rational players but on the population dynamics of behavioral programs. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behavior, and of the closely related interactions among species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions that can alter the basis of their success, i.e., to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions that punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.
Ken Binmore's previous game theory textbook, Fun and Games (D.C. Heath, 1991), carved out a significant niche in the advanced undergraduate market; it was intellectually serious and more up-to-date than its competitors, but also accessibly written. Its central thesis was that game theory allows us to understand many kinds of interactions between people, a point that Binmore amply demonstrated through a rich range of examples and applications. This replacement for the now out-of-date 1991 textbook retains the entertaining examples, but changes the organization to match how game theory courses are actually taught, making Playing for Real a more versatile text that almost all possible course designs will find easier to use, with less jumping about than before. In addition, the problem sections, already used as a reference by many teachers, have become even more clever and varied, without becoming too technical. Playing for Real will sell into advanced undergraduate courses in game theory, primarily those in economics, but also courses in the social sciences, and serve as a reference for economists.
Co-opetition offers a new way of thinking that combines competition and cooperation. It is the first book to adapt game theory to the needs of CEOs, managers and entrepreneurs. Though often compared to games like chess or poker, business is different - people are free to change the rules, the players, the boundaries, even the game itself. The essence of business success lies in making sure you are in the right game. Actively shaping which game you play, and how you play it, is the core of the innovative business strategy laid out in Co-opetition. Barry Nalebuff and Adam Brandenburger, professors at Yale and Harvard, are pioneers in the practice of applying the science of game theory to the art of corporate strategy. They have devised a practice-oriented model to help you break out of the traditional win-lose or lose-lose situations. Dozens of companies - including Intel, Nintendo, American Express and Nutrasweet - have been using the strategies of co-opetition to change their game and enjoy the benefits of win-win opportunities.
Latin American democracies of the sixties and seventies, most
theories hold, collapsed because they had become incompatible with
the structural requirements of capitalist development. In this
groundbreaking application of game theory to political phenomena,
Youssef Cohen argues that structural conditions in Latin American
countries did not necessarily preclude the implementation of social
and economic reforms within a democratic framework. |
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