Download or read book The Topology of Strategic Spaces written by Charles Engel Roebuck and published by . This book was released on 1958 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of games deals with the strategy to be employed in playing a game which may be a model of a problem. The problem is one involving competition or rivalry and should the game end, have a payoff. The players which to receive the most or pay the least. The zero sum game is one in which the sum of all amounts paid and those received add to zero. The problem is to determine what is the best strategy. The main theorem of the theory of games proves the maximum a[subscript ij] = the minimum -a[subscript ji]. Many games are too complex to attack directly, they are simplified by reducing to a suitable rectangular game. They are then said to be normalized. The payoff is arranged in matrix form and the game is played by player number one (P1) choosing a row while player number two (P2) chooses a column. Should an element of a row be the minimum of the row and the maximum of the column it is a saddle point of the matrix. P1 will be assured of receiving at least the minimum element of the row and P2 will be sure of not paying more than the maximum element of the column chosen. The value of the element is the expectancy or the value of the game. Should the payoff matrix not have a saddle point the optimum strategy is then a mixed strategy. The sum of the relative frequencies of each move of P1 or P2 must be one. The selection of the moves of a play is a strategy. The number of possible moves in a play is the dimension of the space. If P1 has m moves the strategy of P1 is a vector in Euclidean space S[subscript m]. P2 has n moves the strategy of P2 is a vector in Euclidean space S[subscript n]. The strategy vector of P1 lies in a unit hypersphere with the center at the origin. The strategy of the game lies in the Euclidean product space S[subscript m] X S[subscript n] = S[subscript m] + [subscript n]. The points in S[subscript m] are disjoint from those in S[subscript n]. The space is therefore a Hausdorff Space.
Download or read book The Topology of the 2x2 Games written by David Robinson and published by Psychology Press. This book was released on 2005 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2x2 games provide the very basis of game theory and this book constitutes something approaching a 'periodic table' of the most common games - the prisoner's dilemma, coordination games, chicken and the battle of the sexes among them.
Download or read book Topology Through Inquiry written by Michael Starbird and published by American Mathematical Soc.. This book was released on 2020-09-10 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.
Download or read book Strategies of Orientation in Environmental Spaces written by Tobias Meilinger and published by Logos Verlag Berlin GmbH. This book was released on 2008 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book 1992 Goddard Conference on Space Applications of Artificial Intelligence written by James L. Rash and published by . This book was released on 1992 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Space Information Networks written by Quan Yu and published by Springer. This book was released on 2018-02-02 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Second International Conference on Space Information Network, SINC 2017, held in Yinchuan, China, in August 2017. The 27 full and three short papers presented in this volume were carefully reviewed and selected from 145 submissions. The papers are organized in topical sections on system architecture and efficient networking mechanism; theory and method of high speed transmission; sparse representation and fusion processing.
Download or read book Topological Social Choice written by Geoffrey Heal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number 2, 1997. The common aim of these workshops and this volume is to crystallize research in an area which has emerged rapidly in the last fifteen years, the area of topological approaches to social choice and the theory of games. The area is attracting increasing interest from social choice theorists, game theorists, mathematical econ omists and mathematicians, yet there is no authoritative collection of papers in the area. Nor is there any surveyor book to give a perspective and act as a guide to the issues in and contributions to this new area. One of the two aims of this volume is in some measure to play this role: the other aim is of course to present interesting and surprising new results.
Download or read book Robustness Optimization for IoT Topology written by Tie Qiu and published by Springer Nature. This book was released on 2022-06-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IoT topology defines the way various components communicate with each other within a network. Topologies can vary greatly in terms of security, power consumption, cost, and complexity. Optimizing the IoT topology for different applications and requirements can help to boost the network’s performance and save costs. More importantly, optimizing the topology robustness can ensure security and prevent network failure at the foundation level. In this context, this book examines the optimization schemes for topology robustness in the IoT, helping readers to construct a robustness optimization framework, from self-organizing to intelligent networking. The book provides the relevant theoretical framework and the latest empirical research on robustness optimization of IoT topology. Starting with the self-organization of networks, it gradually moves to genetic evolution. It also discusses the application of neural networks and reinforcement learning to endow the node with self-learning ability to allow intelligent networking. This book is intended for students, practitioners, industry professionals, and researchers who are eager to comprehend the vulnerabilities of IoT topology. It helps them to master the research framework for IoT topology robustness optimization and to build more efficient and reliable IoT topologies in their industry.
Download or read book Social Choice and Strategic Decisions written by David Austen-Smith and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social choices, about expenditures on government programs, or about public policy more broadly, or indeed from any conceivable set of alternatives, are determined by politics. This book is a collection of essays that tie together the fields spanned by Jeffrey S. Banks' research on this subject. It examines the strategic aspects of political decision-making, including the choices of voters in committees, the positioning of candidates in electoral campaigns, and the behavior of parties in legislatures. The chapters of this book contribute to the theory of voting with incomplete information, to the literature on Downsian and probabilistic voting models of elections, to the theory of social choice in distributive environments, and to the theory of optimal dynamic decision-making. The essays employ a spectrum of research methods, from game-theoretic analysis, to empirical investigation, to experimental testing.
Download or read book Organization and Strategy in the Evolution of the Enterprise written by Giovanni Dosi and published by Springer. This book was released on 1996-04-22 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the role of competence, organization and strategies of firms in industrial dynamics linking economic, management and historical perspectives. In the first part of the book, a series of economic and managerial contributions discuss the concepts, dimensions and effects of routines, competence, adaptation, learning, organizational structure and strategies in the evolution of industrial enterprises at the theoretical and empirical levels. In the second part of the book, a series of historical papers examine these issues in a longterm perspective for the United States, Japan and several European countries.
Download or read book Topics in General Topology written by K. Morita and published by Elsevier. This book was released on 1989-08-04 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments.The papers cover basic fields such as metrization and extension of maps, as well as newly-developed fields like categorical topology and topological dynamics. Each chapter may be read independently of the others, with a few exceptions. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology.
Download or read book Mathematical Foundations of Computer Science 2014 written by Ersébet Csuhaj-Varjú and published by Springer. This book was released on 2014-08-12 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNCS 8634 and LNCS 8635 constitutes the refereed conference proceedings of the 39th International Symposium on Mathematical Foundations of Computer Science, MFCS 2014, held in Budapest, Hungary, in August 2014. The 95 revised full papers presented together with 6 invited talks were carefully selected from 270 submissions. The focus of the conference was on following topics: Logic, Semantics, Automata, Theory of Programming, Algorithms, Complexity, Parallel and Distributed Computing, Quantum Computing, Automata, Grammars and Formal Languages, Combinatorics on Words, Trees and Games.
Download or read book Matt DeVos and Deborah A Kent written by Matt DeVos and published by American Mathematical Soc.. This book was released on 2016-12-27 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.
Download or read book Game Theory and Mathematical Economics written by Otto Moeschlin and published by North Holland. This book was released on 1981 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bayesian Analysis in Statistics and Econometrics written by Donald A. Berry and published by John Wiley & Sons. This book was released on 1996 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a definitive work that captures the current state of knowledge of Bayesian Analysis in Statistics and Econometrics and attempts to move it forward. It covers such topics as foundations, forecasting inferential matters, regression, computation and applications.
Download or read book Handbook of Geometric Topology written by R.B. Sher and published by Elsevier. This book was released on 2001-12-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Download or read book Intelligent Data Engineering and Automated Learning IDEAL 2002 written by Hujun Yin and published by Springer. This book was released on 2003-08-02 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Intelligent Data Engineering and Automated Learning, IDEAL 2002, held in Manchester, UK in August 2002. The 89 revised papers presented were carefully reviewed and selected from more than 150 submissions. The book offers topical sections on data mining, knowledge engineering, text and document processing, internet applications, agent technology, autonomous mining, financial engineering, bioinformatics, learning systems, and pattern recognition.
