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Ebooks
Games and Decisions: Introduction and Critical Survey
R. Duncan Luce
"The best book available for nonmathematicians." — Contemporary Psychology.
This book represents the earliest clear, detailed, precise exposition of the central ideas and results of game theory and related decisionmaking models — unencumbered by technical mathematical details. It offers a comprehensive, timetested conceptual introduction, with a social science orientation, to a complex of ideas related to game theory including decision theory, modern utility theory, the theory of statistical decisions, and the theory of social welfare functions.
The first three chapters provide a general introduction to the theory of games including utility theory. Chapter 4 treats twoperson, zerosum games. Chapters 5 and 6 treat twoperson, nonzerosum games and concepts developed in an attempt to meet some of the deficiencies in the von NeumannMorgenstern theory. Chapters 7–12 treat nperson games beginning with the von NeumannMorgenstern theory and reaching into many newer developments. The last two chapters, 13 and 14, discuss individual and group decision making. Eight helpful appendixes present proofs of the famous minimax theorem, several geometric interpretations of twoperson zerosum games, solution procedures, infinite games, sequential compounding of games, and linear programming.
Thoughtprovoking and clearly expressed, Games and Decisions: Introduction and Critical Survey is designed for the nonmathematician and requires no advanced mathematical training. It will be welcomed by economists concerned with economic theory, political scientists and sociologists dealing with conflict of interest, experimental psychologists studying decision making, management scientists, philosophers, statisticians, and a wide range of other decisionmakers. It will likewise be indispensable for students in courses in the mathematical theory of games and linear programming.
$13.00
$9.99
Response Times: Their Role in Inferring Elementary Mental Organization
Book 8
Written by a distinguished psychologist, this book is an integrated treatment of the mathematical theory of human response times. Professor Luce provides a comprehensive, wellbalanced, and clear review of the experimental data and puts forth the relevance of the hazard function, a novel and important approach he and his colleagues have developed. Since measurements of response times are widely used by experimental psychologists as one approach to distinguishing among theories of intellectual functioning, the conceptual arguments Professor Luce brings to bear on mathematical models of response time are of great relevance to mathematical and experimental psychologists.
$194.99
$155.99
Individual Choice Behavior: A Theoretical Analysis
R. Duncan Luce
This influential treatise presents upperlevel undergraduates and graduate students with a mathematical analysis of choice behavior. It begins with the statement of a general axiom upon which the rest of the book rests; the following three chapters, which may be read independently of each other, are devoted to applications of the theory to substantive problems: psychophysics, utility, and learning.
Applications to psychophysics include considerations of time and spaceorder effects, the Fechnerian assumption, the power law and its relation to discrimination data, interaction of continua, discriminal processes, signal detectability theory, and ranking of stimuli. The next major theme, utility theory, features unusual results that suggest an experiment to test the theory. The final chapters explore learningrelated topics, analyzing the stochastic theories of learning as the basic approach—with the exception that distributions of response strengths are assumed to be transformed rather than response probabilities. The author arrives at three classes of learning operators, both linear and nonlinear, and the text concludes with a useful series of appendixes.
$14.95
$9.99
Sound & Hearing: A Conceptual Introduction
R. Duncan Luce
The major aim of this book is to introduce the ways in which scientists approach and think about a phenomenon  hearing  that intersects three quite different disciplines: the physics of sound sources and the propagation of sound through air and other materials, the anatomy and physiology of the transformation of the physical sound into neural activity in the brain, and the psychology of the perception we call hearing. Physics, biology, and psychology each play a role in understanding how and what we hear.
The text evolved over the past decade in an attempt to convey something about scientific thinking, as evidenced in the domain of sounds and their perception, to students whose primary focus is not science. It does so using a minimum of mathematics (high school functions such as linear, logarithmic, sine, and power) without compromising scientific integrity. A significant enrichment is the availability of a compact disc (CD) containing over 20 examples of acoustic demonstrations referred to in the book. These demonstrations, which range from echo effects and filtered noise to categorical speech perception and total more than 45 minutes, are invaluable resources for making the text come alive.
$71.95
$57.56
Additive and Polynomial Representations
David H. Krantz
Additive and Polynomial Representations deals with major representation theorems in which the qualitative structure is reflected as some polynomial function of one or more numerical functions defined on the basic entities. Examples are additive expressions of a single measure (such as the probability of disjoint events being the sum of their probabilities), and additive expressions of two measures (such as the logarithm of momentum being the sum of log mass and log velocity terms). The book describes the three basic procedures of fundamental measurement as the mathematical pivot, as the utilization of constructive methods, and as a series of isomorphism theorems leading to consistent numerical solutions. The text also explains the counting of units in relation to an empirical relational structure which contains a concatenation operation. The book notes some special variants which arise in connection with relativity and thermodynamics. The text cites examples from physics and psychology for which additive conjoint measurement provides a possible method of fundamental measurement. The book will greatly benefit mathematicians, econometricians, and academicians in advanced mathematics or physics.
$93.95
$69.71
Leading Edges in Social and Behavioral Science
R. Duncan Luce
The reach of the social and behavioral sciences is currently so broad and interdisciplinary that staying abreast of developments has become a daunting task. The thirty papers that constitute Leading Edges in Social and Behavioral Science provide a unique composite picture of recent findings and promising new research opportunities within most areas of social and behavioral research. Prepared by expert scholars under the auspices of the National Academy of Sciences, these timely and welldocumented reports define research priorities for an impressive range of topics: Part I: Mind and Brain Part II: Behavior in Social Context Part III: Choice and Allocation Part IV: Evolving Institutions Part V: Societies and International Orders Part VI: Data and Analysis
$76.00
$60.80
Uncertainty and Risk: Mental, Formal, Experimental Representations
Book 41
This book tries to sort out the different meanings of uncertainty and to discover their foundations. It shows that uncertainty can be represented using various tools and mental guidelines. Coverage also examines alternative ways to deal with risk and risk attitude concepts. Behavior under uncertainty emerges from this book as something to base more on inquiry and reflection rather than on mere intuition.
$52.15
$45.37
Foundations of Measurement: Volume 3
R Duncan Luce
From the Foreword is infinite in multitude; and I mean by the sand not only that which exists about Syracuse and the rest of Sicily but also that which is found in every region whether inhabited or unhabited. Again there are some who, without regarding it as infinite, yet think that no number has been named which is great enough to exceed its multitude. And it is clear that they who hold this view, if they imagined a mass made up of sand in other respects as large as the mass of the earth, including in it all the seas and the hollows of the earth filled up to a height equal to that of the highest mountains, would be many times further still from recognizing that any number could be expressed which exceeded the multitude of the sand so taken. But I will try to show you by means of geometrical proofs, which you will be able to follow, that, of the numbers named by me and given in the work which I sent to Zeuxippus, some exceed not only the number of the mass of sand equal in magnitude to the earth filled up in the way described, but also that of a mass equal in magnitude to the universe.:
See Table of Contents and MAQ.
$140.00
$112.00
Utility of Gains and Losses: MeasurementTheoretical and Experimental Approaches
R. Duncan Luce
This new monograph presents Dr. Luce's current understanding of the behavioral properties people exhibit (or should exhibit) when they make selections among alternatives and how these properties lead to numerical representations of those preferences. It summarizes, and places in historical perspective, the research Dr. Luce has done on utility theory for over 10 years. Included are axiomatic theoretical formulations, experiments designed to test individual assumptions, and analyses of the fit to bodies of data of numerical representations derived from the theory.
$57.95
$46.36
Geometric Representations of Perceptual Phenomena: Papers in Honor of Tarow indow on His 70th Birthday
R. Duncan Luce
Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception:
* space  referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside;
* color  dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and
* scaling  focusing on the organization of various bodies of data  in this case perceptual  through scaling techniques, primarily multidimensional ones.
These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.
$49.95
$39.46
Response Times: Their Role in Inferring Elementary Mental Organization
R. Duncan Luce
This authoritative volume provides a well balanced and comprehensive treatment of the mathematical theory of human response time and the role it plays in our understanding of the mind's organization.
$184.99
$147.99
Sound & Hearing: A Conceptual Introduction
R. Duncan Luce
The major aim of this book is to introduce the ways in which scientists approach and think about a phenomenon  hearing  that intersects three quite different disciplines: the physics of sound sources and the propagation of sound through air and other materials, the anatomy and physiology of the transformation of the physical sound into neural activity in the brain, and the psychology of the perception we call hearing. Physics, biology, and psychology each play a role in understanding how and what we hear.
The text evolved over the past decade in an attempt to convey something about scientific thinking, as evidenced in the domain of sounds and their perception, to students whose primary focus is not science. It does so using a minimum of mathematics (high school functions such as linear, logarithmic, sine, and power) without compromising scientific integrity. A significant enrichment is the availability of a compact disc (CD) containing over 20 examples of acoustic demonstrations referred to in the book. These demonstrations, which range from echo effects and filtered noise to categorical speech perception and total more than 45 minutes, are invaluable resources for making the text come alive.
$71.95
$57.56
Geometric Representations of Perceptual Phenomena: Papers in Honor of Tarow indow on His 70th Birthday
R. Duncan Luce
Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception:
* space  referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside;
* color  dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and
* scaling  focusing on the organization of various bodies of data  in this case perceptual  through scaling techniques, primarily multidimensional ones.
These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.
$24.98
$21.98
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