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Books > Science & Mathematics > Mathematics > Optimization > Game theory
This book presents a variety of advanced research papers in optimization and dynamics written by internationally recognized researchers in these fields. As an example of applying optimization in sport, it introduces a new method for finding the optimal bat sizes in baseball and softball. The book is divided into three parts: operations research, dynamics, and applications. The operations research section deals with the convergence of Newton-type iterations for solving nonlinear equations and optimum problems, the limiting properties of the Nash bargaining solution, the utilization of public goods, and optimizing lot sizes in the automobile industry. The topics in dynamics include special linear approximations of nonlinear systems, the dynamic behavior of industrial clusters, adaptive learning in oligopolies, periodicity in duopolies resulting from production constraints, and dynamic models of love affairs. The third part presents applications in the fields of reverse logistic network design for end-of-life wind turbines, fuzzy optimization of the structure of agricultural products, water resources management in the restoration plans for a lake and also in groundwater supplies. In addition it discusses applications in reliability engineering to find the optimal preventive replacement times of deteriorating equipment and using bargaining theory to determine the best maintenance contract. The diversity of the application areas clearly illustrates the usefulness of the theory and methodology of optimization and dynamics in solving practical problems.
This book presents and uses a major, new database of the most serious forms of internal resistance to the Nazi state to study empirically the whole phenomenon of resistance to an authoritarian regime. By studying serious political resistance from a quantitative historical perspective, the book opens up a new avenue of research for economic history. The database underpinning the book was painstakingly compiled from official state records of treason and/or high treason tried before the German People's Court (Volksgerichtshof) between 1933 and 1945. It brings together material on resistance groups stored in the archives of the Federal Republic of Germany and Austria with previously inaccessible files from the former German Democratic Republic, Czechoslovakia and Soviet Union. Through searching these records, the authors have been able to reconstruct in hitherto unattainable detail the economic, social, political, ethnic and familial profiles, backgroun ds, and influences of all 4,378 civilians of the Third Reich active in Germany, Austria and the outside territories for whom there are complete records. The findings of their research afford fresh, new interdisciplinary insights and perspectives, not only on the configuration, timing, impact and profile of resistance to the Nazi state, but also on a range of real-world behaviours common within authoritarian states, such as defection, reward and punishment, and commitment to group identities. The book's statistical analysis reveals precisely the who, how, where and when of serious resistance. In so doing, it advances significantly our understanding of the overall pattern and nature of serious resistance within Nazi Germany.
This book reports on the implementation of evolutionary-game theory in the design of distributed optimization-based controllers. First, it discusses how the classical population-game approach can contribute to and complement the design of optimization-based controllers. It shows how the features of this approach can be exploited to extend their capabilities in the solution of distributed optimization problems, and examines density games in order to consider multiple coupled constraints and preserve the non-centralized information requirements. Furthermore, it establishes a close relationship between the possible interactions among agents in a population with constrained information sharing among different local controllers. It also discusses coalitional games, focusing on the Shapley power index and proposes an alternative method of computing the latter, which reduces computational time, as well as a different way of finding it using distributed communication structures. All the proposed strategies are then tested on various control problems, such as those related to the Barcelona water supply network, multiple continuous stirred tank reactors, various unmanned aerial vehicle systems, and a water distribution system. This thesis, examined at the Universitat Politecnica de Catalunya and Universidad de los Andes in 2017, received the award for best thesis in control from the control group of the Spanish Committee of Automatic Control (CEA) in the same year.
This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16-20, 2015. This meeting was the twelfth meeting in a series of ongoing biannual meetings aimed at showcasing the research of Mexican probabilists as well as promote new collaborations between the participants. The book features articles drawn from different research areas in probability and stochastic processes, such as: risk theory, limit theorems, stochastic partial differential equations, random trees, stochastic differential games, stochastic control, and coalescence. Two of the main manuscripts survey recent developments on stochastic control and scaling limits of Markov-branching trees, written by Kazutoshi Yamasaki and Benedicte Haas, respectively. The research-oriented manuscripts provide new advances in active research fields in Mexico. The wide selection of topics makes the book accessible to advanced graduate students and researchers in probability and stochastic processes.
This book shows that the plasmodium of Physarum polycephalum can be considered a natural labelled transition system, and based on this, it proposes high-level programming models for controlling the plasmodium behaviour. The presented programming is a form of pure behaviourism: the authors consider the possibility of simulating all basic stimulus-reaction relations. As plasmodium is a good experimental medium for behaviouristic models, the book applies the programming tools for modelling plasmodia as unconventional computers in different behavioural sciences based on studying the stimulus-reaction relations. The authors examine these relations within the framework of a bio-inspired game theory on plasmodia they have developed i.e. within an experimental game theory, where, on the one hand, all basic definitions are verified in experiments with Physarum polycephalum and Badhamia utricularis and, on the other hand, all basic algorithms are implemented in the object-oriented language for simulations of plasmodia. The results allow the authors to propose that the plasmodium can be a model for concurrent games and context-based games.
This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II. Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.
This book constitutes the refereed proceedings of the 11th International Symposium on Algorithmic Game Theory, SAGT 2018, held in Beijing, China, in September 2018. The 19 full papers presented together with 6 short papers and 5 plenary talks were carefully reviewed and selected from 54 submissions. The papers cover various important aspects of algorithmic game theory including market equilibrium, auctions and applications, two sided markets, cake-cutting, cooperative games, voting games, multi-agent scheduling, price of stability, various mechanism design problems: online-dynamics and multi-stages as well as revenue maximization and resource allocation and applications.
This book explores the theoretical foundations of co-utility as well as its application to a number of areas, including distributed reputation management, anonymous keyword search, collaborative data anonymization, digital oblivion, peer-to-peer (P2P) content distribution, ridesharing for sustainable mobility, environmental economy, business model design and the collaborative economy. It evolved from presentations at the 1st Co-Utility Workshop, "held in Tarragona, Spain, on March 10-11, 2016." How can we guarantee that a global society without a common legal framework operates smoothly? If generosity, honesty and helpfulness do not arise spontaneously, one approach would be to design transactions so that helping others remains the best rational option. This is precisely the goal of co-utility, which can be defined in game-theoretic terms as any interaction between peers in which the best option for a player to maximize her or his utility is to make sure the other players also enjoy a fair share of utility (for example, functionality, security or privacy). Therefore, a protocol or mechanism designed using the co-utility principle ensures that helping others is the best rational option, even if players are selfish.
This is the first book combining research on the Global Environment, Catastrophic Risks and Economic Theory and Policy. Modern economic theory originated in the middle of the twentieth century when industrial expansion coupled with population growth led to a voracious use of natural resources and global environmental concerns. It is uncontested that, for the first time in recorded history, humans dominate the planet, changing the planet's atmosphere, its bodies of water, and the complex web of species that makes life on earth. This radical change in circumstances led to rethinking of the foundations of human organization and, in particular, the industrial economy and the economic theory behind it. This book brings together new approaches on multiple levels: environmental sustainability requires rethinking in terms of economic theory and policy as well as the considerations of catastrophic risk and extremal events. Leading experts address questions of economic governance, risk management, policy decision making and distribution across time and space.
This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games. Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.
This state-of-the art collection of papers analyses various aspects of the theory of externalities and public goods. The contributions employ new analytical techniques like the aggregative game approach, and discuss the philosophical underpinnings of the theory. Furthermore, they highlight a range of topical empirical applications including climate policy and counterterrorism. This contributed volume was written in memory of Richard C. Cornes, a pioneer in the theory of externalities and public goods.
This book takes the reader on a journey, navigating the enigmatic aspects of cooperation; a journey that starts inside the body and continues via our thoughts to the human super-organism. Cooperation is one of life's fundamental principles. We are all made of parts - genes, cells, organs, neurons, but also of ideas, or 'memes'. Our societies too are made of parts - us humans. Is all this cooperation fundamentally the same process? From the smallest component parts of our bodies and minds to our complicated societies, everywhere cooperation is the organizing principle. Often this cooperation has emerged because the constituting parts have benefited from the interactions, but not seldom the cooperating units appear to lose on the interaction. How then to explain cooperation? How can we understand our intricate societies where we regularly provide small and large favors for people we are unrelated to, know, or even never expect to meet again? Where does the idea come from that it is right to risk one's life for country, religion or freedom? The answers seem to reside in the two processes that have shaped humanity: biological and cultural evolution.
This book employs game theory to warfare and in particular to military operations. It aims at scrutinizing the validity of the two ideas that have governed the literature on war and warfighting: One is the Clausewitzian Fog of War, which suggests that he who is able to "see" through the gunsmoke and observe his opponent's moves before he has to commit to some strategy himself, should be able to gain an advantage over that enemy; the other is the tradition of understanding military conflict as a zero-sum game. Combined, these ideas seem to imply that war always gives rise to a second-mover advantage. This book questions the validity of this presumption at the operational level of military planning. It provides a simple but rigorous game-theoretic framework in order to analyse operational alternatives for a whole range of typical conflicts Western military forces are facing, including the most recent ones such as Anti-Access/Area-Denial and supporting host nations' counterinsurgency campaigns.
Using the O.D.D. (Overview, Design concepts, Detail) protocol, this title explores the role of agent-based modeling in predicting the feasibility of various approaches to sustainability. The chapters incorporated in this volume consist of real case studies to illustrate the utility of agent-based modeling and complexity theory in discovering a path to more efficient and sustainable lifestyles. The topics covered within include: households' attitudes toward recycling, designing decision trees for representing sustainable behaviors, negotiation-based parking allocation, auction-based traffic signal control, and others. This selection of papers will be of interest to social scientists who wish to learn more about agent-based modeling as well as experts in the field of agent-based modeling.
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash's legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.
This book provides practical solutions for addressing energy efficiency as a clause term within a charter party contract. For this, upon a reflection of the regulatory craft, it analyzes key concepts of case law, and discusses them together with commercial and economic principles. In this way, the book aims at offering a comprehensive, interdisciplinary view of the chartering process, together with a new approach for safeguarding energy efficiency investments. A special emphasis is given to the maritime industry. Here, the newly developed framework, based on game theory, has been successfully applied to demonstrate the importance of including a clause term in contract negotiation to achieve protection against both an uncertain market and an even more challenging shipping environment. The book not only fills a gap in the literature, covering a topic that has been largely neglected to date, yet it offers researchers and practitioners extensive information to change the chartering process radically.
This volume results from the "Second International Conference on Dynamics of Disasters" held in Kalamata, Greece, June 29-July 2, 2015. The conference covered particular topics involved in natural and man-made disasters such as war, chemical spills, and wildfires. Papers in this volume examine the finer points of disasters through: Critical infrastructure protection Resiliency Humanitarian logistic Relief supply chains Cooperative game theory Dynamical systems Decision making under risk and uncertainty Spread of diseases Contagion Funding for disaster relief Tools for emergency preparedness Response, and risk mitigation Multi-disciplinary theories, tools, techniques and methodologies are linked with disasters from mitigation and preparedness to response and recovery. The interdisciplinary approach to problems in economics, optimization, government, management, business, humanities, engineering, medicine, mathematics, computer science, behavioral studies, emergency services, and environmental studies will engage readers from a wide variety of fields and backgrounds.
This book presents state-of-the-art research in political economy dealing with the decision making process under different political institutions. It focuses on the role that states and governments have on political outcomes and on the well-being of individuals, taking into account the differences that arise across autocracies and democracies and within political regimes. The research in this book is embedded with the political economy and social choice traditions and uses the rigorous frameworks of economics, political science and social choice theory to show how institutional settings shape social choices of a group of individuals or a nation. The contributions in this volume use a variety of cutting-edge game theory and mathematical tools as well as data and simulations that coupled with statistical techniques help us gain greater insights into these issues.
This contributed volume contains fourteen papers based on selected presentations from the European Conference on Game Theory SING11-GTM 2015, held at Saint Petersburg State University in July 2015, and the Networking Games and Management workshop, held at the Karelian Research Centre of the Russian Academy of Sciences in Petrozvavodsk, Russia, also in July 2015. These papers cover a wide range of topics in game theory, including recent advances in areas with high potential for future work, as well as new developments on classical results. Some of these include A new approach to journal ranking using methods from social choice theory; A differential game of a duopoly in which two firms are competing for market share in an industry with network externalities; The impact of information propagation in the model of tax audits; A voting model in which the results of previous votes can affect the process of coalition formation in a decision-making body; The Selten-Szidarovsky technique for the analysis of Nash equilibria of games with an aggregative structure; Generalized nucleoli and generalized bargaining sets for games with restricted cooperation; Bayesian networks and games of deterrence; and A new look at the study of solutions for games in partition function form. The maturity and vitality of modern-day game theory are reflected in the new ideas, novel applications, and contributions of young researchers represented in this collection. It will be of interest to anyone doing theoretical research in game theory or working on one its numerous applications.
This contributed volume offers a collection of papers presented at the 2016 Network Games, Control, and Optimization conference (NETGCOOP), held at the University of Avignon in France, November 23-25, 2016. These papers highlight the increasing importance of network control and optimization in many networking application domains, such as mobile and fixed access networks, computer networks, social networks, transportation networks, and, more recently, electricity grids and biological networks. Covering a wide variety of both theoretical and applied topics in the areas listed above, the authors explore several conceptual and algorithmic tools that are needed for efficient and robust control operation, performance optimization, and better understanding the relationships between entities that may be acting cooperatively or selfishly in uncertain and possibly adversarial environments. As such, this volume will be of interest to applied mathematicians, computer scientists, engineers, and researchers in other related fields.
This textbook presents worked-out exercises on game theory with detailed step-by-step explanations. While most textbooks on game theory focus on theoretical results, this book focuses on providing practical examples in which students can learn to systematically apply theoretical solution concepts to different fields of economics and business. The text initially presents games that are required in most courses at the undergraduate level and gradually advances to more challenging games appropriate for masters level courses. The first six chapters cover complete-information games, separately analyzing simultaneous-move and sequential-move games, with applications in industrial economics, law, and regulation. Subsequent chapters dedicate special attention to incomplete information games, such as signaling games, cheap talk games, and equilibrium refinements, emphasizing common steps and including graphical illustrations to focus students' attention on the most relevant payoff comparisons at each point of the analysis. In addition, exercises are ranked according to their difficulty, with a letter (A-C) next to the exercise number. This allows students to pace their studies and instructors to structure their classes accordingly. By providing detailed worked-out examples, this text gives students at various levels the tools they need to apply the tenets of game theory in many fields of business and economics. This text is appropriate for introductory-to-intermediate courses in game theory at the upper undergraduate and master's level.
This monograph provides a detailed analysis on fair queueing rules from a normative, a strategic, and a non-cooperative viewpoint. The queueing problem is concerned with the following situation: There is a group of agents who must be served in a facility. The facility can handle only one agent at a time and agents incur waiting costs. The problem is to find the order in which to serve agents and monetary transfers they should receive. The queueing problem has been studied extensively in the recent literature.
This thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena.
This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.
This book provides the state of the art in the simulation and gaming study field by systematically collecting excellent papers presented at the 46th International Simulation and Gaming Association annual conference held in Kyoto 17-25 July 2015. Simulation and gaming has been used in a wide variety of areas ranging from early childhood education and school-age children, universities, and professional education, to policy exploration and social problem solving. Moreover, it now been drastically changing its features in the Internet Of Things (IOT) society while taking over a wide variety of aliases, such as serious games and gamification. Most of the papers on which this book's chapters are based were written by academic researchers, both up-and-coming and well known. In addition, simulation and gaming is a translational system science going from theory to clinical cross-disciplinary topics. With this book, therefore, graduate students and higher-level researchers, educators, and practitioners can become familiar with the state-of-the-art academic research on simulation and gaming in the network society of the twenty-first century. |
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