Non-Archimedean Utility Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401017247
Total Pages : 150 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Non-Archimedean Utility Theory by : Heinz J. Skala

Download or read book Non-Archimedean Utility Theory written by Heinz J. Skala and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: My interest in non-Archimedean utility theory and the problems related to it was aroused by discussions which I have had with Professors Werner Leinfellner and Günter Menges. On the occasion of the Second Inter national Game Theory Workshop, Berkeley, 1970, which was sponsored by the National Science Foundation, I had the opportunity to report about a result on non-standard utilities. Work on this subject continued when I was a research assistant of Professor Günter Menges at the Uni versity of Heidelberg. The present mono graph is essentially a translation of my habilitation thesis which was accepted on February 15, 1973 by the Faculty of Economics and Social Sciences at the Universtity of Heidelberg. On translating my thesis I took up some suggestions made by ProfessorWerner Böge from the Faculty of Mathematics at the Uni versity of Heidelberg. Through lack of time many of his ideas have not been taken into consideration but I hope to do so in a future paper. The first chapter should be considered as a short introduction to pref erence orderings and to the notion of a utility theory proposed by Dana Scott and Patrick Suppes. In the second chapter I discuss in some detail various problems of ordinal utility theory. Except when introducing non-standard models of the reals no use is made of concepts of model theory. This is done in deference to those readers who do not wish to be troubled by formal languages and model theory.

Non-Archimedean Utility Theory

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Publisher :
ISBN 13 : 9780927703529
Total Pages : 0 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Non-Archimedean Utility Theory by : Heinz J. Skala

Download or read book Non-Archimedean Utility Theory written by Heinz J. Skala and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Patrick Suppes: Scientific Philosopher

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Publisher : Springer Science & Business Media
ISBN 13 : 9401107742
Total Pages : 426 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Patrick Suppes: Scientific Philosopher by : P. Humphreys

Download or read book Patrick Suppes: Scientific Philosopher written by P. Humphreys and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patrick Suppes is a philosopher and scientist whose contributions range over probability and statistics, mathematical and experimental psychology, the foundations of physics, education theory, the philosophy of language, measurement theory, and the philosophy of science. He has also been a pioneer in the area of computer assisted instruction. In each of these areas, Suppes has provided seminal ideas that in some cases led to shaping the direction of research in the field. The papers contained in this collection were commissioned with the mandate of advancing research in their respective fields rather than retrospectively surveying the contributions that Suppes himself has made. The authors form an interesting mixture of researchers in both formal philosophy of science and science itself all of whom have been inspired by his ideas. To maintain the spirit of constructive dialogue that characterizes Suppes's intellectual style, he has written individual responses to each article. In Volume 1: Probability and Probabilistic Causality, nineteen distinguished philosophers and scientists focus their attention on probabilistic issues. In Part I the contributors explore axiomatic representations of probability theory including qualitative and interval valued probabilities as well as traditional point valued probabilities. Belief structures and the dynamics of belief are also treated in detail. In Part II the rapidly growing field of probabilistic causation is assessed from both formal and empirical viewpoints. For probability theorists, statisticians, economists, philosophers of science, psychologists and those interested in the foundations of mathematical social science. In Volume 2: Philosophy of Physics, Theory Structure, and Measurement Theory, fifteen distinguished philosophers and scientists cover a wide variety of topics. Part III covers issues in quantum theory, geometry, classical mechanics, and computational physics. Part IV explores Suppes's well known set-theoretic account of scientific theories which has served him well throughout his career. Suppes's contributions to measurement theory have been widely used in mathematical psychology and elsewhere, and this material is the subject of Part V. For physicists, logicians, workers in mathematical social sicence, and philosophers of science. In Volume 3: Philosophy of Language and Logic, Learning and Action Theory, fourteen distinguished philosophers and scientists explore issues in the philosophy of language, logic, and philosophical psychology. Suppes's suggestions that quantum theory requires a rethinking of classical logic form a particularly sharp account of that controversial thesis, and Part VI deals with this issue together with topics in the philosophy of language and logic, including relational grammars and anaphora. Part VII deals with issues in psychology, action theory, and robotics, while Part VIII concludes with a general survey of Suppes's views in the philosophy of science. A comprehensive chronological and topical bibliography of Suppes's writings is included in this volume. For philosophers of language, theoretical linguists, logicians, workers in mathematical social sciences, and philosophers of science.

Axiomatic Utility Theory under Risk

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Publisher : Springer Science & Business Media
ISBN 13 : 3642588778
Total Pages : 216 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Axiomatic Utility Theory under Risk by : Ulrich Schmidt

Download or read book Axiomatic Utility Theory under Risk written by Ulrich Schmidt 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 first attempts to develop a utility theory for choice situations under risk were undertaken by Cramer (1728) and Bernoulli (1738). Considering the famous St. Petersburg Paradox! - a lottery with an infinite expected monetary value -Bernoulli (1738, p. 209) observed that most people would not spend a significant amount of money to engage in that gamble. To account for this observation, Bernoulli (1738, pp. 199-201) proposed that the expected monetary value has to be replaced by the expected utility ("moral expectation") as the relevant criterion for decision making under risk. However, Bernoulli's 2 argument and particularly his choice of a logarithmic utility function seem to be rather arbitrary since they are based entirely on intuitively 3 appealing examples. Not until two centuries later, did von Neumann and Morgenstern (1947) prove that if the preferences of the decision maker satisfy cer tain assumptions they can be represented by the expected value of a real-valued utility function defined on the set of consequences. Despite the identical mathematical form of expected utility, the theory of von Neumann and Morgenstern and Bernoulli's approach have, however, IFor comprehensive discussions of this paradox cf. Menger (1934), Samuelson (1960), (1977), Shapley (1977a), Aumann (1977), Jorland (1987), and Zabell (1987). 2Cramer (1728, p. 212), on the other hand, proposed that the utility of an amount of money is given by the square root of this amount.

A Theory of Social Action

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Publisher : Springer Science & Business Media
ISBN 13 : 9400963173
Total Pages : 544 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis A Theory of Social Action by : R. Tuomela

Download or read book A Theory of Social Action written by R. Tuomela and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is somewhat surprising to find out how little serious theorizing there is in philosophy (and in social psychology as well as sociology) on the nature of social actions or joint act. hons in the sense of actions performed together by several agents. Actions performed by single agents have been extensively discussed both in philosophy and in psycho~ogy. There is, ac cordingly, a booming field called action theory in philosophy but it has so far strongly concentrated on actions performed by single agents only. We of course should not forget game theory, a discipline that systematically studies the strategic interac tion between several rational agents. Yet this important theory, besides being restricted to strongly rational acting, fails to study properly several central problems related to the concep tual nature of social action. Thus, it does not adequately clarify and classify the various types of joint action (except perhaps from the point of view of the agents' utilities). This book presents a systematic theory of social action. Because of its reliance on so-called purposive causation and generation it is called the purposive-causal theory. This work also discusses several problems related to the topic of social action, for instance that of how to create from this perspective the most central concepts needed by social psychology and soci ology. While quite a lot of ground is covered in the book, many important questions have been left unanswered and many others unasked as well.

Pascal's Wager

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Publisher : Cambridge University Press
ISBN 13 : 1316856720
Total Pages : pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Pascal's Wager by : Paul Bartha

Download or read book Pascal's Wager written by Paul Bartha and published by Cambridge University Press. This book was released on 2018-10-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In his famous Wager, Blaise Pascal (1623–62) offers the reader an argument that it is rational to strive to believe in God. Philosophical debates about this classic argument have continued until our own times. This volume provides a comprehensive examination of Pascal's Wager, including its theological framework, its place in the history of philosophy, and its importance to contemporary decision theory. The volume starts with a valuable primer on infinity and decision theory for students and non-specialists. A sequence of chapters then examines topics including the Wager's underlying theology, its influence on later philosophical figures, and contemporary analyses of the Wager including Alan Hájek's challenge to its validity, the many gods objection, and the ethics of belief. The final five chapters explore various ways in which the Wager has inspired contemporary decision theory, including questions related to infinite utility, imprecise probabilities, and infinitesimals.

Handbook of Utility Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792381747
Total Pages : 714 pages
Book Rating : 4.3/5 (817 download)

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Book Synopsis Handbook of Utility Theory by : Salvador Barbera

Download or read book Handbook of Utility Theory written by Salvador Barbera and published by Springer Science & Business Media. This book was released on 1998 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard rationality hypothesis implies that behaviour can be represented as the maximization of a suitably restricted utility function. This hypothesis lies at the heart of a large body of recent work in economics, of course, but also in political science, ethics, and other major branches of social sciences. Though the utility maximization hypothesis is venerable, it remains an area of active research. Moreover, some fundamental conceptual problems remain unresolved, or at best have resolutions that are too recent to have achieved widespread understanding among social scientists. The main purpose of the Handbook of Utility Theory is to make recent developments in the area more accessible. The editors selected a number of specific topics, and invited contributions from researchers whose work had come to their attention. Therefore, the list of topics and contributions is largely the editors' responsibility. Each contributor's chapter has been refereed, and revised according to the referees' remarks. This is the first volume of a two volume set, with the second volume focusing on extensions of utility theory.

Collected Papers

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Publisher : MIT Press
ISBN 13 : 9780262011549
Total Pages : 806 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Collected Papers by : Robert J. Aumann

Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.

Utility and Probability

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Publisher : Springer
ISBN 13 : 1349205680
Total Pages : 330 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis Utility and Probability by : John Eatwell

Download or read book Utility and Probability written by John Eatwell and published by Springer. This book was released on 1990-02-23 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an excerpt from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. This extract concentrates on utility and probability.

Foundations of Game Theory

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Publisher : Birkhäuser
ISBN 13 : 3034885148
Total Pages : 501 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Foundations of Game Theory by : Nicolai N. Vorob'ev

Download or read book Foundations of Game Theory written by Nicolai N. Vorob'ev and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.

Theory and Decision

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027725196
Total Pages : 360 pages
Book Rating : 4.7/5 (251 download)

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Book Synopsis Theory and Decision by : G. Eberlein

Download or read book Theory and Decision written by G. Eberlein and published by Springer Science & Business Media. This book was released on 1987-11-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles contains contributions from a few of Werner Leinfellner's many friends and colleagues. Some of them are former students of Werner's. Others were colleagues of his at various American and European universities. Further, some have come to know Werner through his research, his long-standing editorship of Theory and Deci sion and his extensive participation in international conferences and congresses. The following articles are new to this volume. The areas covered are those in which Werner continues to play an active professional role. We offer them as a tribute to the many and multi-faceted contributions to the scientific enterprise for which Werner Leinfellner is so widely known. We believe such a festschrift to be fitting and long overdue. Because of the breadth of Werner's professional associations, it was difficult to select representatives from among his many spheres of influence. We apologize to the many scholars who could not be in cluded because of time and space considerations. Finally, we wish to express appreciation to Dean John Guilds of the University of Arkansas for providing financial support early on in the evolution of this project, to Jennifer Bauman for her bravura performance in copy-editing the manuscripts, and to our publisher at Reidel for bringing this volume to press.

Additive and Polynomial Representations

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Publisher : Courier Corporation
ISBN 13 : 0486453146
Total Pages : 626 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Additive and Polynomial Representations by : David H. Krantz

Download or read book Additive and Polynomial Representations written by David H. Krantz and published by Courier Corporation. This book was released on 2006-12-01 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: All of the sciences — physical, biological, and social — have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.

Philosophical and Foundational Issues in Measurement Theory

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Publisher : Psychology Press
ISBN 13 : 1134758669
Total Pages : 241 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Philosophical and Foundational Issues in Measurement Theory by : C. Wade Savage

Download or read book Philosophical and Foundational Issues in Measurement Theory written by C. Wade Savage and published by Psychology Press. This book was released on 2013-06-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement theory has only recently become recognized as a legitimate, specialized field of inquiry. This text covers a wide range of issues of central concern to contemporary measurement theorists, and a broad range of philosophical perspectives are represented. The formalist, representationalist approach defines measurement as the assignment of numbers to entities and events to represent their properties and relations. It also states that measurement theory is supposed to analyze the concept of a scale of measurement, describe various types of scales and their uses, and formulate the conditions required for the existence of scales of various types. Since this approach dominates contemporary measurement theory, the volume begins with essays by some of its leading architects. In order to allow for diverse points of view, the book also includes articles that attempt to broaden this approach, and several that even criticize the approach.

The Foundations of Expected Utility

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Publisher : Springer Science & Business Media
ISBN 13 : 9401733295
Total Pages : 181 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Foundations of Expected Utility by : P.C. Fishburn

Download or read book The Foundations of Expected Utility written by P.C. Fishburn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified treatment of my research in the foundations of expected utility theory from around 1965 to 1980. While parts are new, the presentation draws heavily on published articles and a few chapters in my 1970 monograph on utility theory. The diverse notations and styles of the sources have of course been reconciled here, and their topics arranged in a logical sequence. The two parts of the book take their respective cues from the von Neumann-Morgenstern axiomatization of preferences between risky options and from Savage's foundational treatment of decision making under uncertainty. Both parts are studies in the axiomatics of preferences for decision situations and in numerical representations for preferences. Proofs of the representation and uniqueness theorems appear at the ends of the chapters so as not to impede the flow of the discussion. A few warnings on notation are in order. The numbers for theorems cited within a chapter have no prefix if they appear in that chapter, but otherwise carry a chapter prefix (Theorem 3.2 is Theorem 2 in Chapter 3). All lower case Greek letters refer to numbers in the closed interval from o to 1. The same symbol in different chapters has essentially the same meaning with one major exception: x, y, ... mean quite different things in different chapters. I am indebted to many people for their help and encouragement.

Expected Utility Hypotheses and the Allais Paradox

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Publisher : Springer Science & Business Media
ISBN 13 : 9401576297
Total Pages : 706 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Expected Utility Hypotheses and the Allais Paradox by : M. Allais

Download or read book Expected Utility Hypotheses and the Allais Paradox written by M. Allais and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Utility theory or, value theory in general, is certainly the cornerstone of decision theory, game theory, microecon~mics, and all social and political theories which deal with public decisions. Recently the American School of utility, founded by von N eumann Morgenstern, encountered a far-going criticism by the French School of utility represented by its founder Allais. The whole basis of the theory of decisions involving risk has been shaken and put into question. Consequently, basic research in the fundamentals of utility and value theory evolved into a crisis. Like any crisis in basic research, and this one was not an exception, it was very fruitful. One may simply say: Allais versus von Neumann-Morgenstern, or the French School of utility versus the American School, became one of the battlefields of scientific development which proved to be a most creative source of new advances and new developments in all those sciences which are based on evaluation of utilities.

Mathematical Psychology and Psychophysiology

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Publisher : Psychology Press
ISBN 13 : 1317769643
Total Pages : 329 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Mathematical Psychology and Psychophysiology by : Stephen Grossberg

Download or read book Mathematical Psychology and Psychophysiology written by Stephen Grossberg and published by Psychology Press. This book was released on 2014-05-22 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Psychology and Psychophysiology promotes an understanding of the mind and its neural substrates by applying interdisciplinary approaches to issues concerning behavior and the brain. The contributions present model from many disciplines that share common, conceptual, functional, or mechanistic substrates and summarize recent models and data from neural networks, mathematical genetics, psychoacoustics, olfactory coding, visual perception, measurement, psychophysics, cognitive development, and other areas. The contributors to Mathematical Psychology and Psychophysiology show the conceptual and mathematical interconnectedness of several approaches to the fundamental scientific problem of understanding mind and brain. The book's interdisciplinary approach permits a deeper understanding of theoretical advances as it formally structures a broad overview of the data.

The Dimensions of Consequentialism

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Publisher : Cambridge University Press
ISBN 13 : 1107033039
Total Pages : 229 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Dimensions of Consequentialism by : Martin Peterson

Download or read book The Dimensions of Consequentialism written by Martin Peterson and published by Cambridge University Press. This book was released on 2013-03-28 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new, multidimensional consequentialist theory, according to which an act's rightness depends on several irreducible dimensions.