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

More Playful User Interfaces - Interfaces that Invite Social and Physical Interaction (Hardcover, 2015 ed.): Anton Nijholt More Playful User Interfaces - Interfaces that Invite Social and Physical Interaction (Hardcover, 2015 ed.)
Anton Nijholt
R2,683 Discovery Miles 26 830 Out of stock

This book covers the latest advances in playful user interfaces - interfaces that invite social and physical interaction. These new developments include the use of audio, visual, tactile and physiological sensors to monitor, provide feedback and anticipate the behavior of human users. The decreasing cost of sensor and actuator technology makes it possible to integrate physical behavior information in human-computer interactions. This leads to many new entertainment and game applications that allow or require social and physical interaction in sensor- and actuator-equipped smart environments. The topics discussed include: human-nature interaction, human-animal interaction and the interaction with tangibles that are naturally integrated in our smart environments. Digitally supported remote audience participation in artistic or sport events is also discussed. One important theme that emerges throughout the book is the involvement of users in the digital-entertainment design process or even design and implementation of interactive entertainment by users themselves, including children doing so in educational settings.

Board Games as Media (Hardcover): Paul Booth Board Games as Media (Hardcover)
Paul Booth
R2,609 R2,458 Discovery Miles 24 580 Save R151 (6%) Out of stock

Leading expert Paul Booth explores the growth in popularity of board games today, and unpacks what it means to read a board game. What does a game communicate? How do games play us? And how do we decide which games to play and which are just wastes of cardboard? With little scholarly research in this still-emerging field, Board Games as Media underscores the importance of board games in the ever-evolving world of media.

Economic Dynamics (Hardcover, 4th ed. 2010): Giancarlo Gandolfo Economic Dynamics (Hardcover, 4th ed. 2010)
Giancarlo Gandolfo
R4,797 R4,181 Discovery Miles 41 810 Save R616 (13%) Out of stock

This is the fourth edition of a book that, after circulating in the form of l- ture notes at the universities of Rome (now La Sapienza University of Rome) and Siena in the late 1960s, was originally published in 1971 under the titleMat- maticalMethodsandModelsinEconomicDynamics. Inthosefortyoddyearstwo main developments have occurred in economic dynamics. The ?rst is the much greater amount of advanced mathematics that is being used today with respect to the past. The second is the increasing importance of non-linear modelling as contrastedwiththelinearapproach(which, however, hasnotgoneoutoffashion). This fourth edition re?ects both developments. It contains additional advanced mathematical tools, and a larger amount of non-linear mathematics and appli- tions. These developments are re?ected especially in Part III, that now accounts forwellover50%ofthebook. ItgoeswithoutsayingthatIhavemadeeverye?ort topreservetheuser-friendlyfeatureofthepreviouseditions: thespiritofthebook hasremainedthesame, namelytogiveacomprehensive, butsimple, treatmentof the mathematical methods commonly used in dynamical economics, and to show how they are applied to build and analyse economic models. Accordingly, the focus is on methods, and every mathematical technique - troduced is followed by its application to selected economic models that serve as examples. Theunifyingprincipleintheexpositionofthedi?erenteconomicm- els is then seen to be the common mathematical technique. This process will enable the readers not only to understand the basic literature, but also to build and analyse their own model

Using Game Theory to Improve Safety within Chemical Industrial Parks (Hardcover, 2013 ed.): Genserik Reniers, Yulia Pavlova Using Game Theory to Improve Safety within Chemical Industrial Parks (Hardcover, 2013 ed.)
Genserik Reniers, Yulia Pavlova
R2,666 Discovery Miles 26 660 Out of stock

Though the game-theoretic approach has been vastly studied and utilized in relation to economics of industrial organizations, it has hardly been used to tackle safety management in multi-plant chemical industrial settings. Using Game Theory for Improving Safety within Chemical Industrial Parks presents an in-depth discussion of game-theoretic modeling which may be applied to improve cross-company prevention and -safety management in a chemical industrial park. By systematically analyzing game-theoretic models and approaches in relation to managing safety in chemical industrial parks, Using Game Theory for Improving Safety within Chemical Industrial Parks explores the ways game theory can predict the outcome of complex strategic investment decision making processes involving several adjacent chemical plants. A number of game-theoretic decision models are discussed to provide strategic tools for decision-making situations. Offering clear and straightforward explanations of methodologies, Using Game Theory for Improving Safety within Chemical Industrial Parks provides managers and management teams with approaches to asses situations and to improve strategic safety- and prevention arrangements.

The Pre-Kernel as a Tractable Solution for Cooperative Games - An Exercise in Algorithmic Game Theory (Hardcover, 2014 ed.):... The Pre-Kernel as a Tractable Solution for Cooperative Games - An Exercise in Algorithmic Game Theory (Hardcover, 2014 ed.)
Holger Ingmar Meinhardt
R3,096 R1,947 Discovery Miles 19 470 Save R1,149 (37%) Out of stock

This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.

Dynamics of Gambling: Origins of Randomness in Mechanical Systems (Hardcover, 2009 ed.): Jaroslaw Strzalko, Juliusz Grabski,... Dynamics of Gambling: Origins of Randomness in Mechanical Systems (Hardcover, 2009 ed.)
Jaroslaw Strzalko, Juliusz Grabski, Przemyslaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
R1,304 Discovery Miles 13 040 Out of stock

Our everyday life is in?uenced by many unexpected (dif?cult to predict) events usually referred as a chance. Probably, we all are as we are due to the accumulation point of a multitude of chance events. Gambling games that have been known to human beings nearly from the beginning of our civilization are based on chance events. These chance events have created the dream that everybody can easily become rich. This pursuit made gambling so popular. This book is devoted to the dynamics of the mechanical randomizers and we try to solve the problem why mechanical device (roulette) or a rigid body (a coin or a die) operating in the way described by the laws of classical mechanics can behave in such a way and produce a pseudorandom outcome. During mathematical lessons in primary school we are taught that the outcome of the coin tossing experiment is random and that the probability that the tossed coin lands heads (tails) up is equal to 1/2. Approximately, at the same time during physics lessons we are told that the motion of the rigid body (coin is an example of suchabody)isfullydeterministic. Typically,studentsarenotgiventheanswertothe question Why this duality in the interpretation of the simple mechanical experiment is possible? Trying to answer this question we describe the dynamics of the gambling games based on the coin toss, the throw of the die, and the roulette run.

Operational Research - IO 2018, Aveiro, Portugal, September 5-7 (Hardcover, 1st ed. 2019): Maria Joao Alves, Joao Paulo... Operational Research - IO 2018, Aveiro, Portugal, September 5-7 (Hardcover, 1st ed. 2019)
Maria Joao Alves, Joao Paulo Almeida, Jose Fernando Oliveira, Alberto Adrego Pinto
R3,468 R3,283 Discovery Miles 32 830 Save R185 (5%) Out of stock

This book gathers selected contributions by top Portuguese and international researchers in the field of Operations Research, presented at the 19th Congress of APDIO (Portuguese Association of Operational Research). The papers address a broad range of complex real-world problems, which are approached using recent theoretical techniques. Of particular interest are the applications of e.g. linear, nonlinear and mixed-integer programming, multiobjective optimization, metaheuristics and hybrid heuristics, multicriteria decision analysis, data envelopment analysis, clustering techniques and decision support systems, in such varied contexts as: supply chain management, scheduling problems, production management, logistics, energy, finance and healthcare. This conference, organized by APDIO and held in Aveiro, Portugal in September 2018, offered an ideal opportunity to discuss the latest developments in this field and to build new bridges between academic researchers and practitioners. Summarizing the outcomes, this book offers a valuable tool for all researchers, students and practitioners who wish to learn about the latest trends in this field.

Strategic Interaction and Markets (Hardcover): Jean J. Gabszewicz Strategic Interaction and Markets (Hardcover)
Jean J. Gabszewicz
R1,428 Discovery Miles 14 280 Out of stock

Strategic Interaction and Markets explores the theoretical richness of economic contexts such as product differentiation, strategic barriers to entry, and imperfect information, where economic agents act strategically taking into account the impact of their behaviour on competitors' behaviour and prices. This non-ideal form of competition is the standard result when competition is amongst a small number of agents. Designed as an ancillary text for graduate students, this book is an accessible introduction to the applications of a complex area of mathematical economics.

Recent Advances in Game Theory and Applications - European Meeting on Game Theory, Saint Petersburg, Russia, 2015, and... Recent Advances in Game Theory and Applications - European Meeting on Game Theory, Saint Petersburg, Russia, 2015, and Networking Games and Management, Petrozavodsk, Russia, 2015 (Hardcover, 1st ed. 2016)
Leon A. Petrosyan, Vladimir V. Mazalov
R3,117 R1,968 Discovery Miles 19 680 Save R1,149 (37%) Out of stock

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.

Pure Economics (Hardcover): Jonathan Barzilai Pure Economics (Hardcover)
Jonathan Barzilai
R801 R708 Discovery Miles 7 080 Save R93 (12%) Out of stock
Networks and Network Analysis for Defence and Security (Hardcover, 2014): Anthony J. Masys Networks and Network Analysis for Defence and Security (Hardcover, 2014)
Anthony J. Masys
R2,547 Discovery Miles 25 470 Out of stock

Networks and Network Analysis for Defence and Security discusses relevant theoretical frameworks and applications of network analysis in support of the defence and security domains. This book details real world applications of network analysis to support defence and security. Shocks to regional, national and global systems stemming from natural hazards, acts of armed violence, terrorism and serious and organized crime have significant defence and security implications. Today, nations face an uncertain and complex security landscape in which threats impact/target the physical, social, economic and cyber domains. Threats to national security, such as that against critical infrastructures not only stem from man-made acts but also from natural hazards. Katrina (2005), Fukushima (2011) and Hurricane Sandy (2012) are examples highlighting the vulnerability of critical infrastructures to natural hazards and the crippling effect they have on the social and economic well-being of a community and a nation. With this dynamic and complex threat landscape, network analysis has emerged as a key enabler in supporting defence and security. With the advent of big data and increasing processing power, network analysis can reveal insights with regards to structural and dynamic properties thereby facilitating greater understanding of complex networks, their entities, interdependencies, vulnerabilities to produce insights for creative solutions. This book will be well positioned to inform defence, security and intelligence professionals and researchers with regards to leading methodologies and approaches."

Generalized Characteristics of First Order PDEs - Applications in Optimal Control and Differential Games (Hardcover, 1998 ed.):... Generalized Characteristics of First Order PDEs - Applications in Optimal Control and Differential Games (Hardcover, 1998 ed.)
Arik Melikyan
R2,622 Discovery Miles 26 220 Out of stock

In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the PDE. At the points of smoothness such solutions satisfy the equation in classical sense. But if a function satisfies this condition only, with no requirements at the points of nonsmoothness, the PDE may have nonunique solutions. The uniqueness takes place if an appropriate matching principle for smooth solution branches defined in neighboring domains is applied or, in other words, the notion of generalized solution is considered. In each field an appropriate matching principle are used. In Optimal Control and Differential Games this principle is the optimality of the cost function. In physics and mechanics certain laws must be fulfilled for correct matching. A purely mathematical approach also can be used, when the generalized solution is introduced to obtain the existence and uniqueness of the solution, without being aimed to describe (to model) some particular physical phenomenon. Some formulations of the generalized solution may meet the modelling of a given phenomenon, the others may not.

Advances in Dynamic Games and Applications (Hardcover, 1994 ed.): Tamer Basar, Alain Haurie Advances in Dynamic Games and Applications (Hardcover, 1994 ed.)
Tamer Basar, Alain Haurie
R3,097 Discovery Miles 30 970 Out of stock

Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.

Rethinking the Individualism-Holism Debate - Essays in the Philosophy of Social Science (Hardcover, 2014): Julie Zahle, Finn... Rethinking the Individualism-Holism Debate - Essays in the Philosophy of Social Science (Hardcover, 2014)
Julie Zahle, Finn Collin
R2,682 Discovery Miles 26 820 Out of stock

This collection of papers investigates the most recent debates about individualism and holism in the philosophy of social science. The debates revolve mainly around two issues: firstly, whether social phenomena exist "sui generis" and how they relate to individuals. This is the focus of discussions between ontological individualists and ontological holists. Secondly, to what extent social scientific explanations may and should, focus on individuals and social phenomena respectively. This issue is debated amongst methodological holists and methodological individualists.

In social science and philosophy, both issues have been intensively discussed and new versions of the dispute have appeared just as new arguments have been advanced. At present, the individualism/holism debate is extremely lively and this book reflects the major positions and perspectives within the debate. This volume is also relevant to debates about two closely related issues in social science: the micro-macro debate and the agency-structure debate.

This book presents contributions from key figures in both social science and philosophy, in the first such collection on this topic to be published since the 1970s.

Mathematics for Computer Science (Hardcover): Eric Lehman, F.Thomson Leighton, Albert R. Meyer Mathematics for Computer Science (Hardcover)
Eric Lehman, F.Thomson Leighton, Albert R. Meyer
R1,455 Discovery Miles 14 550 Out of stock
Essays in Dynamic General Equilibrium Theory - Festschrift for David Cass (Hardcover, 2005 ed.): Alessandro Citanna, John... Essays in Dynamic General Equilibrium Theory - Festschrift for David Cass (Hardcover, 2005 ed.)
Alessandro Citanna, John Donaldson, H. Polemarchakis, Paolo Siconolfi, Stephen Spear
R2,595 Discovery Miles 25 950 Out of stock

In the area of dynamic economics, David Cass 's work has spawned a number of important lines of research, including the study of dynamic general equilibrium theory, the concept of sunspot equilibria, and general equilibrium theory when markets are incomplete. Based on these contributions, this volume contains new developments in the field, written by Cass's students and co-authors.

Serious Games for Enhancing Law Enforcement Agencies - From Virtual Reality to Augmented Reality (Hardcover, 1st ed. 2019):... Serious Games for Enhancing Law Enforcement Agencies - From Virtual Reality to Augmented Reality (Hardcover, 1st ed. 2019)
Babak Akhgar
R3,028 R2,873 Discovery Miles 28 730 Save R155 (5%) Out of stock

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.

Co-utility - Theory and Applications (Hardcover, 1st ed. 2018): Josep Domingo-Ferrer, David Sanchez Co-utility - Theory and Applications (Hardcover, 1st ed. 2018)
Josep Domingo-Ferrer, David Sanchez
R3,212 Discovery Miles 32 120 Out of stock

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.

Network Games, Control, and Optimization - Proceedings of NETGCOOP 2016, Avignon, France (Hardcover, 1st ed. 2017): Samson... Network Games, Control, and Optimization - Proceedings of NETGCOOP 2016, Avignon, France (Hardcover, 1st ed. 2017)
Samson Lasaulce, Tania Jimenez, Eilon Solan
R2,479 Discovery Miles 24 790 Out of stock

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.

New Frontiers in Information and Production Systems Modelling and Analysis - Incentive Mechanisms, Competence Management,... New Frontiers in Information and Production Systems Modelling and Analysis - Incentive Mechanisms, Competence Management, Knowledge-based Production (Hardcover, 1st ed. 2016)
Przemyslaw Rozewski, Dmitry Novikov, Natalia Bakhtadze, Oleg Zaikin
R2,684 Discovery Miles 26 840 Out of stock

This book demonstrates how to apply modern approaches to complex system control in practical applications involving knowledge-based systems. The dimensions of knowledge-based systems are extended by incorporating new perspectives from control theory, multimodal systems and simulation methods. The book is divided into three parts: theory, production system and information system applications. One of its main focuses is on an agent-based approach to complex system analysis. Moreover, specialised forms of knowledge-based systems (like e-learning, social network, and production systems) are introduced with a new formal approach to knowledge system modelling. The book, which offers a valuable resource for researchers engaged in complex system analysis, is the result of a unique cooperation between scientists from applied computer science (mainly from Poland) and leading system control theory researchers from the Russian Academy of Sciences' Trapeznikov Institute of Control Sciences.

Uncertain Multi-Attribute Decision Making - Methods and Applications (Hardcover, 2015 ed.): Zeshui Xu Uncertain Multi-Attribute Decision Making - Methods and Applications (Hardcover, 2015 ed.)
Zeshui Xu
R3,486 R2,927 Discovery Miles 29 270 Save R559 (16%) Out of stock

This book introduces methods for uncertain multi-attribute decision making including uncertain multi-attribute group decision making and their applications to supply chain management, investment decision making, personnel assessment, redesigning products, maintenance services, military system efficiency evaluation. Multi-attribute decision making, also known as multi-objective decision making with finite alternatives, is an important component of modern decision science. The theory and methods of multi-attribute decision making have been extensively applied in engineering, economics, management and military contexts, such as venture capital project evaluation, facility location, bidding, development ranking of industrial sectors and so on. Over the last few decades, great attention has been paid to research on multi-attribute decision making in uncertain settings, due to the increasing complexity and uncertainty of supposedly objective aspects and the fuzziness of human thought. This book can be used as a reference guide for researchers and practitioners working in e.g. the fields of operations research, information science, management science and engineering. It can also be used as a textbook for postgraduate and senior undergraduate students.

A Game Theory Analysis of Options - Corporate Finance and Financial Intermediation in Continuous Time (Hardcover, 2nd ed.... A Game Theory Analysis of Options - Corporate Finance and Financial Intermediation in Continuous Time (Hardcover, 2nd ed. 2004)
Alexandre C. Ziegler
R4,127 R3,333 Discovery Miles 33 330 Save R794 (19%) Out of stock

Modern option pricing theory was developed in the late sixties and early seventies by F. Black, R. e. Merton and M. Scholes as an analytical tool for pricing and hedging option contracts and over-the-counter warrants. How ever, already in the seminal paper by Black and Scholes, the applicability of the model was regarded as much broader. In the second part of their paper, the authors demonstrated that a levered firm's equity can be regarded as an option on the value of the firm, and thus can be priced by option valuation techniques. A year later, Merton showed how the default risk structure of cor porate bonds can be determined by option pricing techniques. Option pricing models are now used to price virtually the full range of financial instruments and financial guarantees such as deposit insurance and collateral, and to quantify the associated risks. Over the years, option pricing has evolved from a set of specific models to a general analytical framework for analyzing the production process of financial contracts and their function in the financial intermediation process in a continuous time framework. However, very few attempts have been made in the literature to integrate game theory aspects, i. e. strategic financial decisions of the agents, into the continuous time framework. This is the unique contribution of the thesis of Dr. Alexandre Ziegler. Benefiting from the analytical tractability of contin uous time models and the closed form valuation models for derivatives, Dr."

Game Theory and Partial Differential Equations (Hardcover): Pablo Blanc, Julio Daniel Rossi Game Theory and Partial Differential Equations (Hardcover)
Pablo Blanc, Julio Daniel Rossi
R2,236 R2,108 Discovery Miles 21 080 Save R128 (6%) Out of stock

Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential equations, this unique book collects several results in this direction and puts them in an elementary perspective in a lucid and self-contained fashion.

Introduction to the Theory of Games - Concepts, Methods, Applications (Hardcover, 1999 ed.): Ferenc Forgo, Jeno Szep, Ferenc... Introduction to the Theory of Games - Concepts, Methods, Applications (Hardcover, 1999 ed.)
Ferenc Forgo, Jeno Szep, Ferenc Szidarovszky
R3,879 Discovery Miles 38 790 Out of stock

Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Game Theory - Stochastics, Information, Strategies and Cooperation (Hardcover, 2000 ed.): Joachim Rosenmuller Game Theory - Stochastics, Information, Strategies and Cooperation (Hardcover, 2000 ed.)
Joachim Rosenmuller
R7,747 R5,822 Discovery Miles 58 220 Save R1,925 (25%) Out of stock

Game Theory: Stochastics, Information, Strategies and Cooperation provides a discussion of some relevant topics in game theory. It is composed partially from material compiled by Professor Joachim RosenmA1/4ller when lecturing at IMW, the Institute of Mathematical Economics at the University of Bielefeld. On the other hand, it also contains research topics that are not presented in a typical game theory textbook. Thus, the volume may provide the basis for an advanced course in game theory; simultaneously it may be called a monograph, and, as a third aspect, it also supplies some rather elementary versions of advanced topics of the field. The volume has a non-cooperative and a cooperative part and in both of them the reader is assumed to have some basic knowledge in game theory, for instance, concerning the normal form (bimatrix games, Nash equilibria of the mixed extension, backwards induction in games with perfect information) on one hand and the coalitional function (simple games, convex games, superadditive games, the core, the Shapley volume) on the other hand. Some emphasis is laid on the probabilistic background; however, the author treats stochastic games using the language of probability in order to consider simple models in which measure theory can be omitted.

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