Mathematics Of Decision Making

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Decision and Discrete Mathematics

Author : I Hardwick
Publisher : Elsevier
ISBN 13 : 0857099825
Total Pages : 267 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Decision and Discrete Mathematics by : I Hardwick

Download or read book Decision and Discrete Mathematics written by I Hardwick and published by Elsevier. This book was released on 1996-01-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a complete coverage in the Decision Mathematics module, also known as Discrete Mathematics, of the syllabuses of English A-level examination boards. it is a rewritten and modern version of Decision Mathematics (published by Ellis Horwood Ltd in 1986 for The Spode Group, so well known for its development of innovative mathematics teaching). It is also a suitable text for foundation and first year undergraduate courses in qualitative studies or operational research, or for access courses for students needing strengthening in mathematics, or for students who are moving into mathematics from another subject discipline.Compact and concise, it reflects the combined teaching skills and experience of its authors who know exactly what mathematics must be learnt at the readership level today. The text is built up in modular fashion, explaining concepts used in decision mathematics and related operational research, and electronics. It emphasises an understanding of techniques and algorithms, which it relates to real life situations and working problems that will apply throughout future working careers. Clear explanations of algorithms and all concepts Plentiful worked examples, clear diagrams Many exercises (with answers for self-study)

Naive Decision Making

Author : T. W. Körner
Publisher : Cambridge University Press
ISBN 13 : 1139473565
Total Pages : 375 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Naive Decision Making by : T. W. Körner

Download or read book Naive Decision Making written by T. W. Körner and published by Cambridge University Press. This book was released on 2008-10-16 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: How should one choose the best restaurant to eat in? Can one really make money at gambling? Or predict the future? Naive Decision Making presents the mathematical basis for making decisions where the outcome may be uncertain or the interests of others have to taken into consideration. Professor Körner takes the reader on an enjoyable journey through many aspects of mathematical decision making, with pithy observations, anecdotes and quotations. Topics include probability, statistics, Arrow's theorem, Game Theory and Nash equilibrium. Readers will also gain a great deal of insight into mathematics in general and the role it can play within society. Intended for those with elementary calculus, this book is ideal as a supplementary text for undergraduate courses in probability, game theory and decision making. Engaging and intriguing, it will also appeal to all those of a mathematical mind. To aid understanding, many exercises are included, with solutions available online.

Decision Making Under Uncertainty

Author : Claude Greengard
Publisher : Springer Science & Business Media
ISBN 13 : 146849256X
Total Pages : 166 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Decision Making Under Uncertainty by : Claude Greengard

Download or read book Decision Making Under Uncertainty written by Claude Greengard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ideal world, major decisions would be made based on complete and reliable information available to the decision maker. We live in a world of uncertainties, and decisions must be made from information which may be incomplete and may contain uncertainty. The key mathematical question addressed in this volume is "how to make decision in the presence of quantifiable uncertainty." The volume contains articles on model problems of decision making process in the energy and power industry when the available information is noisy and/or incomplete. The major tools used in studying these problems are mathematical modeling and optimization techniques; especially stochastic optimization. These articles are meant to provide an insight into this rapidly developing field, which lies in the intersection of applied statistics, probability, operations research, and economic theory. It is hoped that the present volume will provide entry to newcomers into the field, and stimulation for further research.

Optimization for Decision Making

Author : Katta G. Murty
Publisher : Springer Science & Business Media
ISBN 13 : 1441912916
Total Pages : 502 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Optimization for Decision Making by : Katta G. Murty

Download or read book Optimization for Decision Making written by Katta G. Murty and published by Springer Science & Business Media. This book was released on 2010-03-14 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming (LP), modeling, and optimization are very much the fundamentals of OR, and no academic program is complete without them. No matter how highly developed one’s LP skills are, however, if a fine appreciation for modeling isn’t developed to make the best use of those skills, then the truly ‘best solutions’ are often not realized, and efforts go wasted. Katta Murty studied LP with George Dantzig, the father of linear programming, and has written the graduate-level solution to that problem. While maintaining the rigorous LP instruction required, Murty's new book is unique in his focus on developing modeling skills to support valid decision making for complex real world problems. He describes the approach as 'intelligent modeling and decision making' to emphasize the importance of employing the best expression of actual problems and then applying the most computationally effective and efficient solution technique for that model.

Mathematical Models for Decision Making with Multiple Perspectives

Author : Maria Isabel Gomes
Publisher : CRC Press
ISBN 13 : 1000647579
Total Pages : 300 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Mathematical Models for Decision Making with Multiple Perspectives by : Maria Isabel Gomes

Download or read book Mathematical Models for Decision Making with Multiple Perspectives written by Maria Isabel Gomes and published by CRC Press. This book was released on 2022-08-04 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together, in a single volume, the fields of multicriteria decision making and multiobjective optimization that are traditionally covered separately. Both fields have in common the presence of multiple perspectives of looking at and evaluating decisions to be taken but they differ in the number of available alternatives. Multicriteria approaches deal with decision processes where a finite number of alternatives have to be evaluated while, in multiobjective optimization, this number is infinite and the space of alternatives continuous. This book is written for students of applied mathematics, engineering, and economics and management, with no assumed previous knowledge on the subject, as well as for practitioners in industry looking for techniques to support decision making. The mathematical formalism is very low, so that all materials are accessible to most readers. Nonetheless, a rich bibliography allows interested readers to access more technical literature. The textbook is organized in eleven chapters, each corresponding to a class of about two hours. A comprehensive set of examples is presented, allowing for a didactic approach when presenting the methodologies. Each chapter ends with exercises that are designed to develop problem-solving skills and to promote concepts retention.

Decision and Discrete Mathematics

Author : Spode Group
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (124 download)

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Book Synopsis Decision and Discrete Mathematics by : Spode Group

Download or read book Decision and Discrete Mathematics written by Spode Group and published by . This book was released on 1996 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Programming and Game Theory for Decision Making

Author : S. K. Neogy
Publisher : World Scientific
ISBN 13 : 9812813225
Total Pages : 498 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematical Programming and Game Theory for Decision Making by : S. K. Neogy

Download or read book Mathematical Programming and Game Theory for Decision Making written by S. K. Neogy and published by World Scientific. This book was released on 2008 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications. Sample Chapter(s). Foreword (45 KB). Chapter 1: Mathematical Programming and its Applications in Finance (177 KB). Contents: Mathematical Programming and Its Applications in Finance (L C Thomas); Anti-Stalling Pivot Rule for Linear Programs with Totally Unimodular Coefficient Matrix (S N Kabadi & A P Punnen); A New Practically Efficient Interior Point Method for Convex Quadratic Programming (K G Murty); A General Framework for the Analysis of Sets of Constraints (R Caron & T Traynor), Tolerance-Based Algorithms for the Traveling Salesman Problem (D Ghosh et al.); On the Membership Problem of the Pedigree Polytope (T S Arthanari); Exact Algorithms for a One-Defective Vertex Colouring Problem (N Achuthan et al.); Complementarity Problem Involving a Vertical Block Matrix and Its Solution Using Neural Network Model (S K Neogy et al.); Fuzzy Twin Support Vector Machines for Pattern Classification (R Khemchandani et al.); An Overview of the Minimum Sum of Absolute Errors Regression (S C Narula & J F Wellington); Hedging Against the Market with No Short Selling (S A Clark & C Srinivasan); Mathematical Programming and Electrical Network Analysis II: Computational Linear Algebra Through Network Analysis (H Narayanan); Dynamic Optimal Control Policy in Price and Quality for High Technology Product (A K Bardhan & U Chanda); Forecasting for Supply Chain and Portfolio Management (K G Murty); Variational Analysis in Bilevel Programming (S Dempe et al.); Game Engineering (R J Aumann); Games of Connectivity (P Dubey & R Garg); A Robust Feedback Nash Equilibrium in a Climate Change Policy Game (M Hennlock); De Facto Delegation and Proposer Rules (H Imai & K Yonezaki); The Bargaining Set in Effectivity Function (D Razafimahatolotra); Dynamic Oligopoly as a Mixed Large Game OCo Toy Market (A Wiszniewska-Matyszkiel); On Some Classes of Balanced Games (R B Bapat); Market Equilibrium for Combinatorial Auctions and the Matching Core of Nonnegative TU Games (S Lahiri); Continuity, Manifolds, and Arrow''s Social Choice Problem (K Saukkonen); On a Mixture Class of Stochastic Games with Ordered Field Property (S K Neogy). Readership: Researchers, professionals and advanced students in mathematical programming, game theory, management sciences and computational mathematics.

Naive Decision Making

Author : T. W. Ko ̈rner
Publisher :
ISBN 13 : 9780511438417
Total Pages : 391 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Naive Decision Making by : T. W. Ko ̈rner

Download or read book Naive Decision Making written by T. W. Ko ̈rner and published by . This book was released on 2014-05-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes readers on an enjoyable journey through many aspects of mathematical decision making; the only prerequisite is elementary calculus.

Mathematics of Decision Theory

Author : Peter C. Fishburn
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Mathematics of Decision Theory by : Peter C. Fishburn

Download or read book Mathematics of Decision Theory written by Peter C. Fishburn and published by . This book was released on 1972 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Decision Making, Models and Algorithms

Author : Saul I. Gass
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Decision Making, Models and Algorithms by : Saul I. Gass

Download or read book Decision Making, Models and Algorithms written by Saul I. Gass and published by Wiley-Interscience. This book was released on 1985-05-10 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to integrate the decision-making process through mathematical modelling. Using the concept of a decision framework, the ideas of decision making, models, and algorithms are introduced to the reader by way of realistic and entertaining problems. The structure, form, illustrations, problems, and challenges in this book provide a unique presentation of the subject matter.

Mathematical Models for Decision Support

Author : Harvey J. Greenberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642835554
Total Pages : 740 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematical Models for Decision Support by : Harvey J. Greenberg

Download or read book Mathematical Models for Decision Support written by Harvey J. Greenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is quite an onerous task to edit the proceedings of a two week long institute with learned contributors from many parts of the world. All the same, the editorial team has found the process of refereeing and reviewing the contributions worthwhile and completing the volume has proven to be a satisfying task. In setting up the institute we had considered models and methods taken from a number of different disciplines. As a result the whole institute - preparing for it, attending it and editing the proceedings - proved to be an intense learning experience for us. Here I speak on behalf of the committee and the editorial team. By the time the institute took place, the papers were delivered and the delegates exchanged their views, the structure of the topics covered and their relative positioning appeared in a different light. In editing the volume I felt compelled to introduce a new structure in grouping the papers. The contents of this volume are organised in eight main sections set out below: 1 . Abstracts. 2. Review Paper. 3. Models with Multiple Criteria and Single or Multiple Decision Makers. 4. Use of Optimisation Models as Decision Support Tools. 5. Role of Information Systems in Decision Making: Database and Model Management Issues. 6. Methods of Artificial Intelligence in Decision Making: Intelligent Knowledge Based Systems. 7. Representation of Uncertainty in Mathematical Models and Knowledge Based Systems. 8. Mathematical Basis for Constructing Models and Model Validation.

Mathematical Principles of Decision Making (Principia Mathematica Decernendi)

Author : Thomas L. Saaty
Publisher : RWS Publications
ISBN 13 : 1888603143
Total Pages : 593 pages
Book Rating : 4.8/5 (886 download)

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Book Synopsis Mathematical Principles of Decision Making (Principia Mathematica Decernendi) by : Thomas L. Saaty

Download or read book Mathematical Principles of Decision Making (Principia Mathematica Decernendi) written by Thomas L. Saaty and published by RWS Publications. This book was released on with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Thomas Saaty summarizes his Analytic Hierarchy Process (AHP) theory for measuring intangible factors through paired comparisons using judgments from which priorities are derived that give the relative dominance of these factors. The important concepts of the AHP and its generalization to structures with dependence and feedback, the Analytic Network Process (ANP), are presented in an elegant compact way and new extensions of the theory to complex decisions involving benefits, opportunities, costs and risks are presented. Applications to resource allocation and conflict resolution are included. The generalization to continuous comparisons is covered. The Encyclicon, three volumes are now available, is an encyclopedia of applications that is a useful accompaniment to the Principles of Mathematical Decision Making, containing of examples of practical decisions.

Numbers Rule

Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Numbers Rule by : George Szpiro

Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

Decision Making and Programming

Author : V V Kolbin
Publisher : World Scientific
ISBN 13 : 9814485918
Total Pages : 756 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Decision Making and Programming by : V V Kolbin

Download or read book Decision Making and Programming written by V V Kolbin and published by World Scientific. This book was released on 2003-06-13 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of selection of alternatives or the problem of decision making in the modern world has become the most important class of problems constantly faced by business people, researchers, doctors and engineers. The fields that are almost entirely focused on conflicts, where applied mathematics is successfully used, are law, military science, many branches of economics, sociology, political science, and psychology. There are good grounds to believe that medicine and some branches of biology and ethics can also be included in this list. Modern applied mathematics can produce solutions to many tens of classes of conflicts differing by the composition and structure of the participants, specific features of the set of their objectives or interests, and various characteristics of the set of their actions, strategies, behaviors, controls, and decisions as applied to various principles of selection or notions of decision optimization. The current issues of social and economic systems involve the necessity to coordinate and jointly optimize various lines of development and activities of modern society. For this reason, the decision problems arising in investigation of such systems are versatile, which shows up not only in the multiplicity of participants, their interests and complexity of reciprocal effects, but also in the laborious development of social utility criteria for a variety of indices and versatile objectives. The efficient decision methods for such complex systems can be developed only the basis of specially developed mathematical tools. Contents:Social Choice ProblemsVector OptimizationInfinite-Valued Programming ProblemsStochastic ProgrammingDiscrete ProgrammingFundamentals of Decision MakingMulticriterion Optimization ProblemsDecision Making Under Incomplete InformationMulticriterion Elements of Optimization TheoryDecision ModelsDecision Models Under Fuzzy InformationThe Applied Mathematical Model for Conflict Management Readership: Undergraduates, graduate students, professionals and researchers in applied mathematics. Keywords:Decision Making;Programming;Applied MathematicsReviews:“This handbook is carefully written and undoubtedly will serve as a useful resource for advanced undergraduates, graduate students, professional mathematicians and researchers in other fields such as sociology, economics, political science or psychology.”Zentralblatt MATH “The main virtue of the book is the diversity and breadth of its content, which exhibits the complexity of decision making. Indeed, the author has undertaken a challenging task of bringing together several subject areas of optimization under the common umbrella of decision making and successfully produced a comprehensive monograph on decision theory and methodology.”Mathematical Reviews

Games and Decision Making

Author : Charalambos D. Aliprantis
Publisher : Oxford University Press, USA
ISBN 13 : 9780195300222
Total Pages : 0 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Games and Decision Making by : Charalambos D. Aliprantis

Download or read book Games and Decision Making written by Charalambos D. Aliprantis and published by Oxford University Press, USA. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games and Decision Making, Second Edition, is a unique blend of decision theory and game theory. From classical optimization to modern game theory, authors Charalambos D. Aliprantis and Subir K. Chakrabarti show the importance of mathematical knowledge in understanding and analyzing issues in decision making. Through an imaginative selection of topics, Aliprantis and Chakrabarti treat decision and game theory as part of one body of knowledge. They move from problems involving the individual decision-maker to progressively more complex problems such as sequential rationality, auctions, and bargaining. By building each chapter on material presented earlier, the authors offer a self-contained and comprehensive treatment of these topics. Successfully class-tested in an advanced undergraduate course at the Krannert School of Management and in a graduate course in economics at Indiana University, Games and Decision Making, Second Edition, is an essential text for advanced undergraduates and graduate students of decision theory and game theory. The book is accessible to students who have a good basic understanding of elementary calculus and probability theory.

Introduction to Mathematical Programming

Author : Benjamin Lev
Publisher : North-Holland
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Programming by : Benjamin Lev

Download or read book Introduction to Mathematical Programming written by Benjamin Lev and published by North-Holland. This book was released on 1982 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms for Decision Making

Author : Mykel J. Kochenderfer
Publisher : MIT Press
ISBN 13 : 0262047012
Total Pages : 701 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Algorithms for Decision Making by : Mykel J. Kochenderfer

Download or read book Algorithms for Decision Making written by Mykel J. Kochenderfer and published by MIT Press. This book was released on 2022-08-16 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad introduction to algorithms for decision making under uncertainty, introducing the underlying mathematical problem formulations and the algorithms for solving them. Automated decision-making systems or decision-support systems—used in applications that range from aircraft collision avoidance to breast cancer screening—must be designed to account for various sources of uncertainty while carefully balancing multiple objectives. This textbook provides a broad introduction to algorithms for decision making under uncertainty, covering the underlying mathematical problem formulations and the algorithms for solving them. The book first addresses the problem of reasoning about uncertainty and objectives in simple decisions at a single point in time, and then turns to sequential decision problems in stochastic environments where the outcomes of our actions are uncertain. It goes on to address model uncertainty, when we do not start with a known model and must learn how to act through interaction with the environment; state uncertainty, in which we do not know the current state of the environment due to imperfect perceptual information; and decision contexts involving multiple agents. The book focuses primarily on planning and reinforcement learning, although some of the techniques presented draw on elements of supervised learning and optimization. Algorithms are implemented in the Julia programming language. Figures, examples, and exercises convey the intuition behind the various approaches presented.