Non-Archimedean Utility Theory

Non-Archimedean Utility Theory PDF Author: Heinz J. Skala
Publisher: Springer Science & Business Media
ISBN: 9789027703521
Category : Business & Economics
Languages : en
Pages : 158

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Book Description
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

Non-Archimedean Utility Theory PDF Author: Heinz J. Skala
Publisher: Springer Science & Business Media
ISBN: 9789027703521
Category : Business & Economics
Languages : en
Pages : 158

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Book Description
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

Non-Archimedean Utility Theory PDF Author: Heinz J. Skala
Publisher:
ISBN: 9780927703529
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description


Handbook of Utility Theory

Handbook of Utility Theory PDF Author: Salvador Barbera
Publisher: Springer Science & Business Media
ISBN: 1402079648
Category : Business & Economics
Languages : en
Pages : 636

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Book Description
The standard rationality hypothesis is 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 the social sciences. Though this hypothesis of utility maximization deserves our continued respect, finding further refinements and developing new critiques remain areas of active research. In fact, many fundamental conceptual problems remain unsettled. Where others have been resolved, their resolutions may be too recent to have achieved widespread understanding among social scientists. Last but not least, a growing number of papers attempt to challenge the rationality hypothesis head on, at least in its more orthodox formulation. The main purpose of this Handbook is to make more widely available some recent developments in the area. Yet we are well aware that the final chapter of a handbook like this can never be written as long as the area of research remains active, as is certainly the case with utility theory. The editors originally selected a list of topics that seemed ripe enough at the time that the book was planned. Then they invited contributions from researchers whose work had come to their attention. So the list of topics and contributors is largely the editors' responsibility, although some potential con tributors did decline our invitation. Each chapter has also been refereed, and often significantly revised in the light of the referees' remarks.

The Logic of Strategy

The Logic of Strategy PDF Author: Cristina Bicchieri
Publisher: Oxford University Press
ISBN: 019535365X
Category : Philosophy
Languages : en
Pages : 208

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Book Description
Edited by three leading figures in the field, this exciting volume presents cutting-edge work in decision theory by a distinguished international roster of contributors. These mostly unpublished papers address a host of crucial areas in the contemporary philosophical study of rationality and knowledge. Topics include causal versus evidential decision theory, game theory, backwards induction, bounded rationality, counterfactual reasoning in games and in general, analyses of the famous common knowledge assumptions in game theory, and evaluations of the normal versus extensive form formulations of complex decision problems.

Politics as Rational Action

Politics as Rational Action PDF Author: L. Lewin
Publisher: Springer Science & Business Media
ISBN: 9400989555
Category : Social Science
Languages : en
Pages : 281

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Book Description
One of the most promising trends in modem political science is the develop ment of a theory of politics as rational action. Focussing on choice as the central topic of study, rational choice theorists set out to specify what alter native an actor should prefer if he has some given knowledge of the conse quences of each alternative and wants to see his preference system as fully realized as possible. But rational choice theory is not confmed to the norma tive sphere of science. It can also be used for explanatory purposes. Then, the alternatives actually chosen are specified and the task is to explain the decisions by fmding out what considerations lay behind them. The starting point for an emerging research program at the Department of Government, Uppsala University, on 'Politics as Rational Action' is to describe the major choices in fifteen different policy areas of Swedish domes tic politics and explain why they were made.

Response Models for Detection of Change

Response Models for Detection of Change PDF Author: Anatol Rapoport
Publisher: Springer Science & Business Media
ISBN: 9400993862
Category : Social Science
Languages : en
Pages : 210

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Book Description
This book reports our research on detection of change processes that underlie psychophysical, learning, medical diagnosis, military, and pro duction control situations, and share three major features. First, the states of the process are not directly observable but become gradually known with the sequential acquisition of fallible information over time. Second, the mechanism that generates the fallible information is not stationary; rather, it is subjected to a sudden and irrevocable change. Thirdly, in complete, probabilistic information about the time of change is available when the process commences. The purpose of the book is to characterize this class of detection of change processes, to derive the optimal policy that minimizes total expected loss, and, most importantly, to develop testable response models, based on simple decision rules, for describing detection of change behavior. The book is theoretical in the sense that it offers mathematical models of multi-stage decision behavior and solutions to optimization problems. However, it is not anti-empirical, as it aims to stimulate new experimental research and to generate applications. Throughout the book, questions of experimental verification are briefly considered, and existing data from two studies are brought to bear on the validity of the models. The work is not complete; it only provides a starting point for investigating how people detect a change in an uncertain environment, balancing between the cost of delay in detecting the change and the cost of making an incor rect terminal decision.

Philosophical Foundations of Quality of Life

Philosophical Foundations of Quality of Life PDF Author: Alex C. Michalos
Publisher: Springer
ISBN: 3319507273
Category : Social Science
Languages : en
Pages : 322

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Book Description
This first volume has as its main focus the philosophical foundations of Michalos’ work and describes it in the broad context of the study of logic, the philosophy of social sciences, and a general theory of value. After distinguishing things that have value from the value that things might have, it describes the foundations of a pragmatic theory of value. This theory plays a key role in the author’s research on the quality of life and connects his empirical research to the philosophical tradition of the American pragmatists William James, Ralph Barton Perry, John Dewey and Clarence Irving Lewis. The volume addresses various aspects and issues concerning decision making, including decision procedures used in committees, used for assessing the acceptability of scientific theories and new technologies, procedures for a science court, ethical issues involved in the formation of beliefs, some limitations of classical economists’ alleged postulates of rational preference, and the importance of analytic guides to decision making. Finally, it describes the organization of the Social Sciences Federation of Canada and a formal accounting system for scientific research.

The Economics of the Global Environment

The Economics of the Global Environment PDF Author: Graciela Chichilnisky
Publisher: Springer
ISBN: 3319319434
Category : Business & Economics
Languages : en
Pages : 640

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Book Description
This is the first book combining research on the Global Environment, Catastrophic Risks and Economic Theory and Policy. Modern economic theory originated in the middle of the twentieth century when industrial expansion coupled with population growth led to a voracious use of natural resources and global environmental concerns. It is uncontested that, for the first time in recorded history, humans dominate the planet, changing the planet's atmosphere, its bodies of water, and the complex web of species that makes life on earth. This radical change in circumstances led to rethinking of the foundations of human organization and, in particular, the industrial economy and the economic theory behind it. This book brings together new approaches on multiple levels: environmental sustainability requires rethinking in terms of economic theory and policy as well as the considerations of catastrophic risk and extremal events. Leading experts address questions of economic governance, risk management, policy decision making and distribution across time and space.

Modeling Multi-Level Systems

Modeling Multi-Level Systems PDF Author: Octavian Iordache
Publisher: Springer
ISBN: 3642179460
Category : Technology & Engineering
Languages : en
Pages : 244

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Book Description
This book is devoted to modeling of multi-level complex systems, a challenging domain for engineers, researchers and entrepreneurs, confronted with the transition from learning and adaptability to evolvability and autonomy for technologies, devices and problem solving methods. Chapter 1 introduces the multi-scale and multi-level systems and highlights their presence in different domains of science and technology. Methodologies as, random systems, non-Archimedean analysis, category theory and specific techniques as model categorification and integrative closure, are presented in chapter 2. Chapters 3 and 4 describe polystochastic models, PSM, and their developments. Categorical formulation of integrative closure offers the general PSM framework which serves as a flexible guideline for a large variety of multi-level modeling problems. Focusing on chemical engineering, pharmaceutical and environmental case studies, the chapters 5 to 8 analyze mixing, turbulent dispersion and entropy production for multi-scale systems. Taking inspiration from systems sciences, chapters 9 to 11 highlight multi-level modeling potentialities in formal concept analysis, existential graphs and evolvable designs of experiments. Case studies refer to separation flow-sheets, pharmaceutical pipeline, drug design and development, reliability management systems, security and failure analysis. Perspectives and integrative points of view are discussed in chapter 12. Autonomous and viable systems, multi-agents, organic and autonomic computing, multi-level informational systems, are revealed as promising domains for future applications. Written for: engineers, researchers, entrepreneurs and students in chemical, pharmaceutical, environmental and systems sciences engineering, and for applied mathematicians.

Measurement, Realism and Objectivity

Measurement, Realism and Objectivity PDF Author: J. Forge
Publisher: Springer Science & Business Media
ISBN: 9400939191
Category : Science
Languages : en
Pages : 358

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Book Description
The institutionalization of History and Philosophy of Science as a distinct field of scholarly endeavour began comparatively earl- though not always under that name - in the Australasian region. An initial lecturing appointment was made at the University of Melbourne immediately after the Second World War, in 1946, and other appoint ments followed as the subject underwent an expansion during the 1950s and 1960s similar to that which took place in other parts of the world. Today there are major Departments at the University of Melbourne, the University of New South Wales and the University of Wollongong, and smaller groups active in many other parts of Australia and in New Zealand. "Australasian Studies in History and Philosophy of Science" aims to provide a distinctive publication outlet for Australian and New Zealand scholars working in the general area of history, philosophy and social studies of science. Each volume comprises a group of essays on a connected theme, edited by an Australian or a New Zealander with special expertise in that particular area. Papers address general issues, however, rather than local ones; parochial topics are avoided. Further more, though in each volume a majority of the contributors is from Australia or New Zealand, contributions from elsewhere are by no means ruled out. Quite the reverse, in fact - they are actively encour aged wherever appropriate to the balance of the volume in question.